Accounts Receivable with Allowance for Doubtful Accounts on Balance Sheet

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							                                         CHAPTER 8
                                     Accounts Receivable

                                               QUESTIONS
1.   Accounts receivable are an asset and are                  10. Assuming an allowance method is used, the
     generally presented in the current asset section              write-off of an account receivable reduces
     of the balance sheet.                                         gross accounts receivable but has no effect on
2.   Gross receivables represent the total amounts                 net income, net accounts receivable, total
     owed to a company without regard to potential                 assets, or the current ratio.
     uncollectible accounts. Net receivables equal             11. The aging method emphasizes the valuation of
     gross receivables less the estimated uncollect-               accounts receivable in the balance sheet. The
     ible accounts represented in the allowance for                ending balance in the allowance for doubtful
     doubtful accounts.                                            accounts corresponds to the expected
3.   The percentage of gross receivables not expected              uncollectible receivables on the balance sheet.
     to be collected is computed by dividing the                   The percent-of-sales method emphasizes the
     allowance for uncollectible accounts by the gross             relationship between the current period sales
     amount of accounts receivable.                                and the expected bad debts resulting from
                                                                   their sales. Its theoretical underpinning is the
4.   Bad debt expense appears in general and
                                                                   matching principle.
     administrative expenses in the income
     statement.                                                12. Since GAAP accounting for bad debts ignores
                                                                   interest, it overstates the value of the recei-
5.   The three parts to the economic value of
                                                                   vables relative to their true economic value.
     accounts receivable are: 1) the nominal amount
                                                                   Therefore, the market-to-book value will be
     owed by customers, 2) the allowance for bad
                                                                   less than 1.
     debts, representing the nominal amount that is
     expected not to be collected, and 3) the                  13. Because the percentage of sales method
     discounted expected future cash collections of                adjusts the percentage used if the actual
     the accounts receivable (i.e., the time value of              experience is better or worse than estimates,
     money).                                                       bad debt expense is smoothed over time. If the
                                                                   balance in the allowance grows too large, the
6.   GAAP revenue recognition criteria include: 1)
                                                                   percentage of sales is lowered. If the balance
     an earnings process must be substantially
                                                                   is too small, the percentage is increased.
     complete, 2) an exchange takes place, and 3)
     collection is reasonably assured.                         14. The aging method focuses directly on the
                                                                   balance of accounts receivable at the balance
7.   GAAP for accounts receivable ignore interest
                                                                   sheet date. The “bad debt expense” is the
     because the time period involved in the
                                                                   difference between the existing balance before
     collection of a receivable is relatively short.
                                                                   the adjusting entry is made and the desired
     Therefore, the “interest” component is viewed
                                                                   ending balance in the allowance for doubtful
     as being immaterial.
                                                                   accounts.
8.   Account                               Financial
                                                                   Theoretically, since a careful analysis of existing
       name                  Type         statement                accounts receivable has been made, the net
     Bad debt             Operating      Income                    receivables should be a close approximation of
        expense             expense        statement               the value of the receivables at year end.
     Accounts             Current        Balance
        receivable          asset          sheet
     Allowance for        Contra-        Balance
        doubtful            asset          sheet
        accounts
9.   “Written-off” means that a specific customer’s
     account receivable has been taken off the books
     and no longer is represented as an asset.



                                                         260
Accounts Receivable                                                                                    261


15. Sometimes management’s incentives for               18. If management overstates uncollectible accounts
    accurate estimates of uncollectible accounts            in a given accounting period, subsequent
    are suspect. When the expectations of                   collections are likely to exceed the net book
    uncollectibles that are built into the book value       value of the receivables. This will result in a
    differ substantially from those used to deter-          gain from the collection experience, which will
    mine economic values, market-to-book ratios             be recognized by lowering the bad debt
    will differ significantly from one.                     expense in future periods. In years of high
16. Factoring is when organizations raise cash by           profits, management may overstate bad debt
    selling their accounts receivable.                      expense so that it can be understated in future
                                                            periods when profits may be lower.
17. Factoring without recourse means that the
                                                        19. The days receivables outstanding equals 365
    purchaser of the accounts receivable bears all
                                                            days divided by the receivables turnover, so on
    the risk of uncollectibles.
                                                            average an account must have been outstand-
                                                            ing for 365/4.6 or 79 days.
262                                                                                 Chapter 8



                                       EXERCISES
E8-1
a.    Accounts receivable                                  100,000
        Sales revenue                                                  100,000
       (To recognize revenue and to anticipate collection of receivables)
      Cash                                                  60,000
        Accounts receivable                                             60,000
      (To recognize collection of cash from companies owing Alerin Corp. from 2003
      sales)
      Allowance for doubtful accounts                        4,000
         Accounts receivable                                                4,000
      (To write off accounts that will not be collected)
      Bad debt expense                                      12,000
        Allowance for doubtful accounts                                 12,000
      (To record bad debt expense based on an estimate that $8,000 of accounts
      receivable will not be collectible. Before the adjustment, the allowance account
      has a debit balance of $4,000.)
b. Net accounts receivable:
      Accounts receivable balance ($100,000 – 60,000 – 4,000)          $36,000
      Allowance for doubtful accounts balance ($12,000 – 4,000)          8,000
      Net accounts receivable                                          $28,000
      Bad debt expense: $12,000


E8-2
a.    Accounts receivable                                  100,000
        Sales revenue                                                  100,000
       (To recognize revenue and to anticipate collection of receivables)
      Cash                                                  60,000
        Accounts receivable                                             60,000
      (To recognize collection of cash from companies owing Alerin Corp. from 2003
      sales)
      Allowance for doubtful accounts                        4,000
         Accounts receivable                                                4,000
Accounts Receivable                                                             263


    (To write off accounts that will not be collected)
    Bad debt expense                                     8,000
      Allowance for doubtful accounts                                8,000
    (To record bad debt expense based on an estimate that 8 percent of credit sales
    will not be collectible)
    Net accounts receivable:
    Accounts receivable balance ($100,000 – 60,000 – 4,000)          $36,000
    Allowance for doubtful accounts balance ($8,000 – 4,000)           4,000
    Net accounts receivable                                          $32,000
    Bad debt expense: $8,000
b. Under the direct write-off method, the entry to write off the uncollectible
   accounts would be:
    Bad debt expense                                     4,000
      Accounts receivable                                            4,000
    There would be no entry debiting bad debt expense and crediting allowance for
    doubtful accounts to estimate potential uncollectible accounts.


E8-3
Estimated uncollectible accounts, per aging schedule:
                                       Estimated Percentage
Days Outstanding          Amount           Uncollectible         Amount
   0-60                   $120,000               1%              $ 1,200
   61-120                   90,000               2%                1,800
   Over 120                120,000               6%                7,200
                          $330,000                               $10,200
    Bad debt expense is $5,200. ($12,000 Beginning balance – $7,000 written off +
    $5,200 bad debt expense equals desired ending balance of $10,200.)
    Net accounts receivable would be $330,000 – $10,200 = $319,800
264                                                                                     Chapter 8


E8-4
a.    Receivables turnover:
                                    2001                               2002
        Net sales                  $22,419.3                     $30,382.3
                                                  = 12.55                       = 13.37
Average net receivables       ($1,612.2 + $1,960)           ($2,583.7 + $1,960)
                                       2                             2
      Days receivables outstanding:

       365                           365          = 29.08           365
                                                                                       = 27.3
Receivables turnover                12.55                          13.37
Percentage of receivables not expected to be collected:
                                  1998                                  1999
        Allowances                     $83.7                            $181.5
                                                  = .041                               = .066
Ending accounts receivable           $2,048.7                          $2,765.2
b. McKesson’s ratios indicate an improved performance in the collection of
   accounts receivable. The company collected receivables almost 2 days faster on
   average in 2002 compared to 2001.


E8-5
a.    Allowance for doubtful accounts                          4,250
         Accounts receivable—Alissa Corp.                                      4,250
      (To write off Alissa Corporation’s accounts receivable)
b. The net accounts receivable will not change as the result of the write-off:
      Accounts receivable                                                 $295,750
      Allowance for doubtful accounts                                      (11,032 )
      Net accounts receivable                                             $284,718


c.    The write-off has no effect on Erin’s 2004 net income.


E8-6
a.    Bad debt expense                                      90,000
        Allowance for doubtful accounts                                       90,000
       (To record bad debt expense estimated at 1.5% of net credit sales)
Accounts Receivable                                                              265



b. Bad debt expense                                        82,000
     Allowance for doubtful accounts                                  82,000
     (To record bad debt expense with bad debts estimated to be 9% of accounts
     receivable. .09 × $950,000 = $85,500; $85,500 – $3,500 = $82,000)
c.   Net value of accounts receivable:
     Bad debts estimated at 1.5% of net credit sales:
     Accounts receivable                                            $950,000
     Allowance for doubtful accounts ($3,500 + $90,000)              (93,500 )
     Net value                                                      $856,500
     Bad debts estimated at 9% of accounts receivable
     Accounts receivable                                            $950,000
     Allowance for doubtful accounts ($3,500 + 82,000)               (85,500 )
     Net value                                                      $864,500



E8-7
a.   Bad debt expense                                      90,000
       Allowance for doubtful accounts                                90,000
     (To record bad debt expense estimated at 1.5% of net credit sales)
b. Bad debt expense                                        90,500
     Allowance for doubtful accounts                                  90,500
     (To record bad debt expense with bad debts estimated to be 9% of accounts
     receivable. $85,500 + $5,000 = $90,500)
c.   Net value of accounts receivable:
     Bad debts estimated at 1.5% of net credit sales:
     Accounts receivable                                            $950,000
     Allowance for doubtful accounts ($–5,000 + $90,000)             (85,000 )
     Net value                                                      $865,000
     Bad debts estimated at 9% of accounts receivable
     Accounts receivable                                            $950,000
     Allowance for doubtful accounts ($–5,000 + 90,500)              (85,500 )
     Net value                                                      $864,500
266                                                                                   Chapter 8



                                        PROBLEMS

P8-1
a.    1) Rogal’s bad debt expense for 2004 will be $9,960.
                                               Percent Estimated
           Age in days         Amount            Uncollectible            Amount
             0-10              $296,000                 1                 $ 2,960
             11-60               42,000                 5                   2,100
             61-180              34,000                15                   5,100
             Over 180            12,000                30                   3,600
             TOTAL            $384,000                                    $13,760
           Amount estimated uncollectible                                 $13,760
           Existing credit balance in allowance for doubtful accounts      (3,800 )
           Bad debt expense                                               $ 9,960
      2) The write-off does not affect 2005’s income before taxes.
      3)                                        Balance before          Balance after
                                                   write-off              write-off
           Accounts receivable                     $384,000              $374,000
           Allowance for doubtful accounts          (13,760 )              (3,760 )
           Net accounts receivable                 $370,240              $370,240
b. Bad debt expense: $1,200,000 (.005) = $6,000
      Balance in allowance for doubtful accounts:

      Balance before adjustment               $3,800 CR
      Bad debt expense                         6,000
      Balance after adjustment                $9,800 CR
c.    Direct write-off is not preferred GAAP. It fails to include the bad debt
      expense in the period in which sales revenue is recognized, violating the
      matching principle.
Accounts Receivable                                                                  267


P8-2
a.   Accounts receivable                                  2,600,000
       Sales revenue                                                   2,600,000
     (To recognize revenue and to anticipate collection of receivables)
     Cash                                                 2,400,000
       Accounts receivable                                             2,400,000
     (To recognize collection of cash from companies owing Boyce Corp. from 2004
     sales)
     Allowance for doubtful accounts                       150,000
        Accounts receivable                                              150,000
     (To write off accounts that will not be collected)
     Accounts receivable                                     1,200
       Allowance for doubtful accounts                                     1,200
     (To reverse the write-off of accounts written off in previous years that were
     collected in 2004)
     Cash                                                    1,200
       Accounts receivable                                                 1,200
     (To record collection of accounts written off in previous years)
     Bad debt expense                                      156,000
       Allowance for doubtful accounts                                   156,000
     (To record bad debt expense based on an estimate that 6 percent of credit sales
     will not be collectible)
b. Bad debt expense will be $156,000
c.   Net accounts receivable:
     Accounts receivable balance
        ($2,000,000 + 2,600,000 – 2,400,000 –
        150,000 + 1,200 – 1,200)                                      $2,050,000
     Allowance for doubtful accounts balance
        ($140,000 – 150,000 + 1,200 + 156,000)                          (147,200 )
     Net accounts receivable                                          $1,902,800
d. If Boyce only experiences a 5% loss instead of a 6% loss, the company will have
   a ―gain‖ from the collection experience. This gain is most often recognized by
   slightly reducing the bad debt expense percentage going forward.
268                                                                                 Chapter 8


P8-3
a.    Accounts receivable                                  2,600,000
        Sales revenue                                                   2,600,000
      (To recognize revenue and to anticipate collection of receivables)
      Cash                                                 2,400,000
        Accounts receivable                                             2,400,000
      (To recognize collection of cash from companies owing Boyce Corp. from 2004
      sales)
      Allowance for doubtful accounts                       150,000
         Accounts receivable                                              150,000
      (To write off accounts that will not be collected)
      Accounts receivable                                     1,200
        Allowance for doubtful accounts                                     1,200
      (To reverse the write-off of accounts written off in previous years that were
      collected in 2004)
      Cash                                                    1,200
        Accounts receivable                                                 1,200
      (To record collection of accounts written off in previous years)
      Bad debt expense                                      111,300
        Allowance for doubtful accounts                                   111,300
      (To record bad debt expense based on an estimate that 5% of accounts
      receivable will not be collectible)
      Accounts receivable balance:
        ($2,000,000 + 2,600,000 – 2,400,000 –
        150,000 + 1,200 – 1,200)                                       $2,050,000
      Required balance in allowance for doubtful accounts:
        $2,050,000(.05)                                                  $102,500
      Balance in allowance before adjustment:
         ($140,000 – 150,000 + 1,200)                                       8,800 DR
      Bad debt expense                                                   $111,300
b. Bad debt expense will be $111,300
Accounts Receivable                                                                     269


c.   Net accounts receivable:
     Accounts receivable balance ($2,000,000 + 2,600,000 –
        2,400,000 – 150,000 + 1,200 – 1,200)                        $2,050,000
     Allowance for doubtful accounts balance
        ($140,000 – 150,000 + 1,200 + 111,300)                        (102,500 )
     Net accounts receivable                                        $1,947,500


P8-4
a.   Although a write-off of accounts receivable has no effect on net income, Sears’
     new policy will require the company to increase its estimates of potential uncol-
     lectible accounts resulting from sales in 1998 and 1999. This will have the effect
     of increasing the estimated bad debt expense, resulting in higher loan loss
     reserves (bad debt expense) being recognized in 1998 and 1999, the years the
     system is being changed over.
     The Wall Street Journal reported:
     ―The impact of the change began to appear in Sears’ 1998 fourth-quarter
     earnings report. A group of credit card accounts, representing about 12% of the
     business, which had already been converted to the new system, showed a 10.1%
     delinquency rate, a 43.6% jump from the 7.03% rate recorded in the fourth quar-
     ter of 1997 for the whole portfolio.‖
b. If the potential uncollectible accounts are overestimated in 1998 and 1999, net
   income for those years will be understated. The ―gain‖ from the collection period
   would be recognized in the years 2000 and after, by reducing the estimated
   uncollectible accounts expense. This would overstate 2000’s income relative to
   what it otherwise would have been.


P8-5
a.   Uncollectible accounts expense                     1,287,000,000
       Allowance (provision) for uncollectible
       accounts                                                         1,287,000,000
     (To record bad debt expense based on estimated uncollectible accounts)
b. Allowance (provision) for uncollectible
      accounts                                          2,040,000,000
      Accounts receivable                                               2,040,000,000
     (To write off uncollectible accounts receivable)
c.   Entry a. reduces net income by $1,287,000,000. Entry b. has no effect on net
     income.
270                                                                            Chapter 8


d. The provision for uncollectible accounts is added back to net income because it
   is an expense that reduces Sears’ net income, but does not use any cash. The
   provision estimates potential future bad debts related to current years’ sales.
   However, it is a noncash expense similar to depreciation and amortization that
   did not require any cash outlay on the part of the company.


P8-6
a.    Economic value of accounts receivable:
      $235,000,000 – $23,000,000    = $205,825,240
                 1.03
      Receivable turnover is 4.05, or once every 90 days (3 months); so interest for 90
      days is 0.12/4 = .03.
b. Generally Accepted Accounting Principles ignore interest because accounts
   receivable are usually outstanding for only a short period of time. Therefore,
   book values and returns on equity will be fairly close to their economic values.
c.    Market-to-book value ratio:
      Economic value of accounts receivable            $205,825,240 = .971
        Book value of accounts receivable              $212,000,000
d. Since potential uncollectible accounts represent estimates by a company’s
   management, there are times when those estimates can be suspect. If the
   expectations that are built into the book value are substantially different from
   those used to determine economic value, the market-to-book value ratio can
   differ significantly from one.


P8-7
a.    There is a significant negative trend beginning in 2001. Gross accounts
      receivable declined 43 percent from 7/31/00 to 4/27/03. This would be attributa-
      ble to the economic downturn that affected the entire technology sector begin-
      ning in 2001.
Accounts Receivable                                                                   271


b.                                        7/31/99      7/31/00      7/28/01      4/27/02
     Accounts receivable                   $1,269       $2,342        $1,75       $1,336
     Allowance for doubtful accounts           27           43          288          346
     Net accounts receivable               $1,242       $2,299       $1,466         $990
     Allowance as a % of
     gross accounts receivable              2.1%         1.8%        16.4%        25.9%
     The trend is very alarming. Cisco’s allowance for doubtful accounts has grown
     from around 2 percent of accounts receivable in 1999 and 2000 to nearly 13
     times that level, or 26 percent, in 2002. At 4/27/02, the company expects that one
     out of every four dollars owed to it will not be collected.
c.   In an economic downturn, it is expected that doubtful accounts will increase. As
     sales decline, it would also be expected that total accounts receivable will
     decline. However, note the dramatic percentage increase in the allowance for
     doubtful accounts compared to 1999, when accounts receivable were only about
     5 percent less than in 2002. At that time, the allowance for doubtful accounts
     was only 2 percent of total accounts receivable. The allowance reported in 2002
     is greater than in any previous year, both in absolute dollars and as a percentage
     of gross accounts receivable. In 2002, it had risen to more than one quarter of
     the total accounts receivable. This raises doubt about the quality of revenues
     reported in 2001 and 2002. It could also raise doubts as to the future business
     prospects of Cisco. It implies that many of Cisco’s customers are having difficul-
     ty paying their bills. If these customers file for bankruptcy, potential future
     growth at Cisco is at risk. In addition, increasing bad debts in the future will also
     negatively impact Cisco’s operating margins.
d. If Cisco has overstated its bad debt expense in 2002, the company will ―make
   up‖ the difference in 2003. This might result in lower operating expenses and
   higher operating income in 2003. It would make 2003’s results appear even
   better, especially if compared with 2002.
     Source: Cisco Sytem’s annual reports and 10-Q, Reuters, May 29, 2002.


P8-8
a.   Beginning accounts receivable               $9,450,000
     Sales                                      105,900,000
     less writeoffs                              –4,426,000
     less cash collections                                ?
     Equals ending accounts receivable         $ 11,735,000
        Cash collections = $103,189,000
272                                                                          Chapter 8


b. Age of receivable       Amount of receivable         % Uncollectible    Amount
      0-30 days                  $8,000,000                     1%          $80,000
      31-60 days                 $3,000,000                     6%          180,000
      61-90 days                  $600,000                     14%           84,000
      91-120 days                 $115,000                     30%           34,500
      more than 120 days           $20,000                     50%           10,000
      Total                    $11,735,000                                 $388,500
Balance in Allowance for Doubtful Accounts 1/1/04:         $330,750 CR
Accounts written off during 2004:                           426,000 DR
Balance at 12/31/04 before adjustment                        95,250 DR
Required balance per aging:                                 388,500 CR
Bad debt expense for 2004:                                 $483,750
c.    Bad debt expense                        483,750
        Allowance for doubtful accounts                   483,750
d. Accounts receivable balance at 12/31/04:                 $11,735,000
   Allowance for doubtful accounts at 12/31/04:                (388,500)
   Net accounts receivable at 12/31/04:                     $11,346,500
e.    Sebago uses a balance sheet approach, since the company estimates the
      potential uncollectible accounts based on an aging of accounts receivable. The
      ending balance in the allowance for doubtful accounts is a function of this
      aging; the bad debt expense is a ―plug‖ based on the beginning balance in the
      allowance, any accounts written off during the year and the required ending
      balance based on the aging.


P8-9
a.    Sales                               $105,900,000
      Percent estimated uncollectible             .005
      Bad debt expense:                      $ 529,500
b. Allowance for doubtful accounts            426,000
      Accounts receivable                                 426,000
c.    Bad debt expense                        529,500
        Allowance for doubtful accounts                   529,500
Accounts Receivable                                                            273


d. Beginning balance         $330,750
   Additions                  529,500
   Write-offs                (426,000)
   Ending balance            $434,250

e.   The write-off has no effect on the income statement or balance sheet.
f.   The adjusting entry increases operating expenses, reduces net income, reduces
     assets and reduces equity.
g. Accounts receivable balance at 12/31/04:        $11,735,000
   Allowance for doubtful accounts at 12/31/04:       (434,250)
   Net accounts receivable at 12/31/04:            $11,300,750
h. Sebago’s approach represents an income statement approach. Bad debts are
   recognized as a percentage of sales. The ending balance in the allowance for
   doubtful accounts will be a result of the percentage used and the amount of
   receivables written off during the year.
274                                                                            Chapter 8



                                             CASES
C8-1     Cascade Communications
a.    Days sales outstanding are computed by dividing 365 by the company’s
      accounts receivable turnover. With days sales outstanding of 70, Cascade
      turned its receivables 5.2 times in the fourth quarter of 1996 compared to 7.8
      times in the previous quarter.
b. Analysts could be concerned for a number of reasons. The slowdown in
   collection could mean that customers are unhappy with the product that they
   have received and are withholding payment. It could also mean that the compa-
   ny had significant ―last minute‖ sales, essentially borrowing from the following
   quarter to hit sales goals in the fourth quarter. Sometimes, a significant slow-
   down in the receivable turnover can be attributed to aggressive accounting
   tactics, where management is booking sales prematurely, but customers are not
   paying bills related to these sales. In Cascade’s case, analysts were concerned
   that sales growth for the high technology company was slowing significantly.
   The Wall Street Journal stated that the increase in days sales outstanding ―sug-
   gests Cascade raced to book more orders at the end of the fourth quarter to
   meet expectations, perhaps sapping business from coming quarters.‖ (The Wall
   Street Journal, January 1997)


C8-2     Bad Debt Accounting

a.    The method of accounting for bad debts does not affect expected collections, so
      all three firms have the same expected collections:

      80 + ½ * (15 + (½ * 5 + ½ * 0)) + ½ * (10 + (½ * 10 + ½ * 0))
      = 80 + ½ * (15 + 2.5) + ½ * (10 + 5)
      = 80 + 8.75 + 7.5
      = 96.25

      We can state this in terms of expected uncollectibles by noting that there is a ½
      chance that there will be no uncollectibles, a ¼ chance that there will be $5 of
      uncollectibles, and a ¼ chance that there will be $10 of uncollectibles. Expected
      uncollectibles at time 0 are then:

      ½ * 0 + ¼ * 5 + ¼ * 10 = 1.25 + 2.5 = $3.75.

      The expected amount to be collected is:

      $100 – 3.75 = $96.25.
Accounts Receivable                                             275


b. Direct Method:

     No entry

        % Sales:

     Bad Debts Expense                            3.75
       Allowance for Doubtful Accounts                   3.75

        Aging:

     Bad Debts Expense                            3.75
       Allowance for Doubtful Accounts                   3.75

c.   Direct Method:

     Time 1:
     No entry

     Time 2:
     No entry

     Time 3:
     No entry

        % Sales:

     Time 1:
     No entry

     Time 2:
     No entry

     Time 3:
     Allowance for Doubtful Accounts              3.75
        Gain on Favorable Collection Experience          3.75

        Aging:

     Time 1:
     No entry
276                                                                            Chapter 8


      Time 2:
      Allowance for Doubtful Accounts                       1.25
         Gain on Favorable Collection Experience                        1.25

      This entry reflects the fact that the balance in accounts receivable is $5, ½ of
      which is expected to be uncollectible. Before adjustment, the balance in the
      allowance for doubtful accounts was 1.25. This adjustment brings the balance in
      the allowance for doubtful accounts down to $2.50.

      Time 3:
      Allowance for Doubtful Accounts                       2.50
         Gain on Favorable Collection Experience                        2.50

d. Direct Method:

      Time 1:
      No entry

      Time 2:
      No entry

      Time 3:
      Bad Debts Expense                                      5.0
        Accounts Receivable                                              5.0

      To write off the uncollectible amount.

         % Sales:

      Time 1:
      No entry

      Time 2:
      No entry
Accounts Receivable                                                               277


     Time 3:
     Allowance for Doubtful Accounts                       3.75
     Bad Debts Expense                                     1.25
        Accounts Receivable                                             5.0

     To write off the uncollectible amount, we first debit the Allowance, then must
     record additional bad debt expense because the allowance is insufficient.

        Aging:

     Time 1:
     No entry

     Time 2:
     Allowance for Doubtful Accounts                       1.25
        Gain on Favorable Collection Experience                        1.25

     This entry reflects the fact that the balance in accounts receivable is $5, ½ of
     which is expected to be uncollectible.
     Time 3:
     Allowance for Doubtful Accounts                        2.5
     Bad Debts Expense                                      2.5
        Accounts Receivable                                             5.0

e.   Direct Method:

     Time 1:
     No entry

     Time 2:
     No entry

     Time 3:
     No entry

        % Sales:

     Time 1:
     No entry
278                                                                             Chapter 8


      Time 2:
      No entry

      Time 3:
      Allowance for Doubtful Accounts                       3.75
         Gain on Favorable Collection Experience                         3.75

         Aging:

      Time 1:
      No entry

      Time 2:
      Bad Debts Expense                                     1.25
        Allowance for Doubtful Accounts                                  1.25

      This entry reflects the fact that the balance in accounts receivable is $10, ½ of
      which is expected to be uncollectible.

      Time 3:
      Allowance for Doubtful Accounts                         5.0
         Gain on Favorable Collection Experience                          5.0

f.    Direct method:

      Time 1:
      No entry

      Time 2:
      No entry

      Time 3:
      Bad Debts Expense                                     10.0
        Accounts Receivable                                              10.0

      To write off the uncollectible amount.

         % Sales:

      Time 1:
      No entry
Accounts Receivable                                                                 279


     Time 2:
     No entry

     Time 3:
     Allowance for Doubtful Accounts                        3.75
     Bad Debts Expense                                      6.25
        Accounts Receivable                                              10.0

     To write off the uncollectible amount, we first debit the Allowance, then we must
     record additional bad debt expense because the allowance is insufficient.

        Aging:

     Time 1:
     No entry

     Time 2:
     Bad Debts Expense                                      1.25
       Allowance for Doubtful Accounts                                   1.25

     This entry reflects the fact that the balance in accounts receivable is $10, ½ of
     which is expected to be uncollectible. The balance in the allowance for doubtful
     accounts is only 3.75, so this adjustment provides the 1.25 increase necessary
     to bring it to $5.00.

     Time 3:
     Allowance for Doubtful Accounts                          5.0
     Bad Debts Expense                                        5.0
        Accounts Receivable                                              10.0

g. Yes, because all three methods keep the same gross accounts receivable on the
   books. All record the total receivable, and all write off bad debts. The only differ-
   ence is the allowance for doubtful accounts, which is the cumulative bad debt
   expense less write-offs. Because write-offs are the same for all three methods,
   the only difference is the cumulative amount of expense recognized.

h. Aging, because it makes estimates of expected uncollectibles at each balance
   sheet date.

i.   Some say aging again does the best job. Others like % of Sales. Aging makes
     bad debts expense a function of information about collectibility, while % of Sales
     just matches bad debts expense to current sales. If the accrual process is aimed
     at generating balance sheets that reflect the best estimates of economic value at
280                                                                            Chapter 8


      the time, then aging is the better accrual method. If the accrual process is more
      aimed at showing expenses that are tied to the sales recognized in the period,
      then aging reflects too much information. It is hard to see how reflecting too
      much information can hurt, however, and accrual is increasingly thought of as a
      process of measuring value, not matching.

j.    None of the methods takes into account the time value of money.

k.    Sales would be recorded at the amount that is expected to be collected. This
      would make bad debts a contra-revenue, instead of an expense. Interest would
      be imputed on the expected collections. Changes in the expected collections
      would be reflected in gains and losses shown on the income statement. The
      amount shown on any balance sheet for accounts receivable would be the net
      present value of the expected collection.

      See Chapter 7 of Antle and Garstka.

l.    Yes. For example, if collections follow Path 4, before adjustment the allowance
      under the % of Sales method is a negative $6.25. It means that information has
      come out that past bad debts expenses has been too small relative to the write-
      offs actually experienced.

m. Aging is probably the most informative, since it tries to keep the balance sheets
   reflecting good information about expected uncollectibles. Aging will, however,
   tend to make reported income more volatile, because it records gains and losses
   as information becomes available. Some companies might want smoother
   reported earnings, and might choose % of Sales. (See Figure 5.7 in Chapter 5. If
   you don’t have Figure 5.7, you are relying on an old version of Chapter 5. Down-
   load the new version from the WebBoard.)

     There is probably information in a company’s choice of Aging or % of Sales, but
      nothing general is known about what that information might be.
233                                                                                                                  Chapter 8




                                                                                                                                                                            Accounts Receivable
C 8-3 Typical Company: Bad Debt Accounting
a. and b.
                 Cash                                     Accounts Rec.                         Allow for Dbtfl Accounts                            Inventory
12/31/2002 1,000.0                          12/31/2002       –                                                     – 12/31/2002     12/31/2002       –
                        90.0  03we            03sales 1,000.0                                                  200.0     03bde       03purch     300.0    300.0     03cgs
                       300.0 03purch        12/31/2003 1,000.0                                                 200.0 12/31/2003     12/31/2003       –
12/31/2003   610.0                            04 sales 1,000.0     800.0 04coll         04wa       200.0     200.0                   04purch     300.0    300.0     04cgs
04coll       800.0 300.0 04purch                                   200.0 04wo                                200.0    12/31/2004    12/31/2004       –
                    90.0  04we              12/31/2004 1,000.0                          05wo       200.0     200.0      04bde        05puech     300.0    300.0     05cgs
12/31/2004 1,020.0                            05sales 1,000.0      800.0 05coll                              200.0    12/31/2005    12/31/2005       –
05coll       800.0 300.0 05purch                                   200.0 05wo           06wo       200.0     200.0      05bde        06purch     300.0    300.0     06cgs
                    90.0  05we              12/31/2005 1,000.0                                               200.0    12/31/2006                     –
12/31/2005 1,430.0                            06sales 1,000.0      800.0 06coll
06coll       800.0 300.0 06purch                                   200.0   06wo
                    90.0  06we             12/31/2006 1,000.0                                   Accumulated Depreciation                         Common Stock
12/31/2006 1,840.0                                                                                               –     12/31/2002                    2,640.0 12/31/2002
                                                                                                              410.0       03de                       2,640.0 12/31/2002
             Retained Earnings                                    PP&E                                        410.0 12/31/2003                       2,640.0 12/31/2004
                           – 12/31/2002    12/31/2002   1,640.0                                               410.0       04de                       2,640.0 12/31/2005
                           – 12/31/2003    12/31/2003   1,640.0                                               820.0 12/31/2004                       2,640.0 12/31/2006
                           – 12/31/2004    12/31/2004   1,640.0                                               410.0       05de
                           – 12/31/2005    12/31/2005   1,640.0                                             1,230.0 12/31/2005
                           – 12/31/2006    12/31/2006   1,640.0                                               410.0       06de
                                                                                                            1,640.0 12/31/2006
                   Sales                                   Depreciation Exp
03c1         1,000.0   1,000.0   03sales       03de      410.0           410.0   03c5               Bad Debt Expense
04c1         1,000.0   1,000.0   04sales       04de      410.0           410.0   04c5   03bde      200.0     200.0     03c4
05c1         1,000.0   1,000.0   05sales       05de      410.0           410.0   05c5   04bde      200.0     200.0     04c4                      Income Summary
06c1         1,000.0   1,000.0   06sales       06de      410.0           410.0   06c5   05bde      200.0     200.0     05c4             03c2      90.0    1,000.0   03c1
                                                                                        06bde      200.0     200.0     06c4             03c3     300.0
                                                                                                                                        03c4     200.0
          Cost of Goods Sold                              Wages Expense                                                                 03c5     410.0
03cgs          300.0   300.0     03c3          03we       90.0            90.0   03c2                                                   04c2      90.0    1,000.0   04c1
04cgs          300.0   300.0     04c3          04we       90.0            90.0   04c2                                                   04c3     300.0
05cgs          300.0   300.0     05c3          05we       90.0            90.0   05c2                                                   04c4     200.0
06cgs          300.0   300.0     06c3          06we       90.0            90.0   06c2                                                   04c5     410.0
                                                                                                                                        05c2      90.0    1,000.0    05c1
Using the % of sales, bad debts expense = 20% of sales – 20% of $100,000 each year.                                                                05c3     300.0
Using aging, the ending balance for doubtful accounts = 20% of ending accounts receivable.                                                         05c4     200.0
When everything goes as expected, if the percentage of sales and the percentages used in aging are properly aligned, you get                       05c5     410.0
all the same accounting statements.                                                                                                     06c2      90.0    1,000.0    06c1
                                                                                                                                        06c3     300.0
                                                                                                                                        06c4     200.0
                                                                                                                                        06c5     410.0




                                                                                                                                                                            281
282                                                                                    Chapter 8


a. and b.

                                   Typical Company
                                    Balance Sheets
                                      as of 12/31
                                            2003         2004             2005        2006 .
Cash                                     $ 610.0      $ 1,020.0        $ 1,430.0    $ 1,840.0
Accounts Receivable, net                     800.0        800.0            800.0        800.0
Total Current Assets                     $ 1,410.0    $ 1,820.0        $ 2,230.0    $ 2,640.0
Buildings & Machinery                    $ 1,640.0    $ 1,640.0        $ 1,640.0    $ 1,640.0
Less: Accumulated Depreciation              (410.0)      (820.0)        (1,230.0)    (1,640.0)
Buildings & Machinery, net               $ 1,230.0    $ 820.0             $410.0    $       –
Total Non-current Assets                 $ 1,230.0    $ 820.0             $410.0    $       –
Total Assets                             $ 2,640.0    $ 2,640.0        $ 2,640.0    $ 2,640.0
Shareholders’ Equity
Common Stock                             $ 2,640.0    $ 2,640.0        $ 2,640.0    $ 2,640.0
Retained Earnings                                –            –                –            –
Total Shareholders’ Equity               $ 2,640.0    $ 2,640.0        $ 2,640.0    $ 2,640.0
Total Liabilities &
    Shareholders’ Equity                 $ 2,640.0    $ 2,640.0        $ 2,640.0    $ 2,640.0
Market value of Typical Company          $ 2,640.0    $ 2,640.0        $ 2,640.0    $ 2,640.0
Mkt Value/Book Value                          1.00         1.00             1.00         1.00
Econ ROE                                     0.0%         0.0%             0.0%          0.0%
Acctg ROE                                    0.0%         0.0%             0.0%          0.0%
Econ ROE = (Change in mkt value + Dividends)/Beginning Mkt value
06c1



                                   Typical Company
                                  Income Statements
                                    for Years Ended
                             12/31/2003         12/31/2004         12/31/2005       12/31/2006
Sales                        $ 1,000.0          $ 1,000.0           $ 1,000.0        $ 1,000.0
Cost of Goods Sold              (300.0)            (300.0)             (300.0)          (300.0)
Gross Margin                 $ 700.0            $ 700.0             $ 700.0          $ 700.0
Other Expenses:
Wages                           (90.0)             (90.0)             (90.0)           (90.0)
Depreciation                   (410.0)            (410.0)            (410.0)          (410.0)
Bad debts expense              (200.0)            (200.0)            (200.0)          (200.0)
Net Income                   $      –           $      –           $      –         $      –
Accounts Receivable                                                                283



                                  Typical Co.
                            Cash Flow Statements
                            for Years Ended 12/31
                                          2003          2004        2005         2006
Operations:
Net Income                           $       –      $      –    $      –    $      –
Addbacks:
 Depreciation                            410.0          410.0       410.0       410.0
Changes in accounts that
 require additions:
Accounts Receivable, net               (800.0)            –           –           –
Cash flow from operations            $ (390.0)      $ 410.0     $ 410.0     $ 410.0

Cash flows for investing             $       –      $      –    $      –    $      –

Cash flows from financing            $       –      $      –    $      –    $      –
Change in Cash                       $ (390.0)      $ 410.0     $ 410.0     $ 410.0
236                                                                                                              Chapter 8




                                                                                                                                                                         284
c. (% Sales)
                 Cash                                      Accounts Rec.                      Allow. for Dbtfl Accounts                          Inventory
 12/31/2002 1,000.0                         12/31/2002       –                                                    – 12/31/2002   12/31/2002       –
                           90.0  03we        03 sales    1,000.0                                             200.0      03bde     03purch      300.0 300.0 03cgs
                          300.0 03purch     12/31/2003   1,000.0                                             200.0 12/31/2003    12/31/2003           –
 12/31/2003   610.0                          04sales     1,000.0         500.0   04coll    04wo 300.0        200.0      04bde     04purch      300.0 300.0 04CGS
   04coll     500.0 300.0 04purch                                        300.0   04WO                        100.0 12/31/2004    12/31/2004           –
                     90.0  04we             12/31/2004   1,200.0                           05wo 200.0        200.0      05bde     05purch      300.0 300.0 05cgs
 12/31/2004   720.0                          05sales     1,000.0    1,000.0      05coll                      100.0 12/31/2005    12/31/2005           –
   05coll   1,000.0 300.0 05purch                                     200.0      05wo      05wo 200.0        200.0      05bde     06purch      300.0 300.0 06cgs
                     90.0  05we             12/31/2005   1,000.0                                             100.0 12/31/2006                     –
 12/31/2005 1,330.0     0                     6sales     1,000.0         800.0   06c0ll
   06coll     800.0 300.0 06purch                                        200.0   05wo
                     90.0  06we             12/31/2006   1,000.0                            Accumulated Depreciation                          Common Stock
 12/31/2006 1,740.0                                                                                             – 12/31/2002                              2,640.0
                                                                                                            410.0    03de                                 2,640.0
          Retained Earnings                                       PP&E                                     410.0 12/31/2003                               2,640.0
                         –    12/31/2002    12/31/2002   1,640.0                                           410.0     04de                                 2,640.0
                         –    12/31/2003    12/31/2003   1,640.0                                           820.0 12/31/2004                               2,640.0
                         –    12/31/2004    12/31/2004   1,640.0                                           410.0     05de
                         –    12/31/2005    12/31/2005   1,640.0                                         1,230.0 12/31/2005
                         –    12/31/2006    12/31/2006   1,640.0                                           410.0      6de
                                                                                                         1,640.0 12/31/2006
                  Sales                                  Depreciation Exp.
   03c1      1,000.0   1,000.0    03sales        03de    410.0           410.0   03c5             Bad Debts Expense
   04c1      1,000.0   1.000.0    04sales        04de    410.0           410.0   04c5     03bde     200.0    200.0    03c4
   05c1      1,000.0   1,000.0    05sales        05de     4100           410.0   05c5     04bde     200.0    200.0    04c4                Income Summary
   06c1      1.000.0   1,000.0    06sales        06de    410.0           410.0   06c5     05bde     200.0    200.0    05c4         03c2        90.0       1,000.0 03c1
                                                                                          06bde     200.0    200.0    06c4         03c3       300.0
                                                                                                                                   03c4       200.0
           Cost of Goods Sold                             Wages Expense                                                            03c5       410.0
   03cgs      300.0       300.0   03c3           03we      90.0           90.0   03c2                                              04c2        90.0       1,000.0 04c1
   04cgs      300.0       300.0   04c3           04we      90.0           90.0   04c2                                              04c3       300.0
   05cgs      300.0       300.0   05c3           05we      90.0           90.0   05c2                                              04c4       200.0
   06cgs      300.0       300.0   06c3           06we      90.0           90.0   06c2                                              04c5       410.0
                                                                                                                                   05c2        90.0       1,000.0 05c1
                                                                                                                                   05c3       300.0
                                                                                                                                   05c4       200.0
                                                                                                                                   05c5       410.0
                                                                                                                                   06c2        90.0       1,000.0 06c1




                                                                                                                                                                         Chapter 8
                                                                                                                                   06c3       300.0
                                                                                                                                   06c4       200.0
                                                                                                                                   06c5       410.0
285                                                                          Chapter 8


c. (% Sales)
                                   Typical Company
                                    Balance Sheets
                                      as of 12/31

                                            2003        2004         2005      2006
Cash                                    $   610.0     $ 720.0     $ 1,330.0 $ 1,740.0
Accounts Receivable, net                    800.0     1,100.0         900.0     900.0
Total Current Assets                    $ 1,410.0    $1,820.0      $2,230.0 $2,640.0
Buildings & Machinery                   $ 1,640.0    $ 1,640.0    $ 1,640.0 $ 1,640.0
Less: Accumulated Depreciation             (410.0)      (820.0)    (1,230.0) (1,640.0)
Buildings & Machinery, net              $ 1,230.0       $820.0       $410.0        $–
Total Non-current Assets                $ 1,230.0       $820.0       $410.0        $–
Total Assets                            $ 2,640.0    $ 2,640.0    $ 2,640.0 $ 2,640.0
Shareholders’ Equity
Common Stock                             $ 2,640.0   $ 2,640.0    $ 2,640.0 $ 2,640.0
Retained Earnings                                –           –            –         –
Total Shareholders’ Equity               $ 2,640.0   $ 2,640.0    $ 2,640.0 $ 2,640.0
Total Liabilities & Shareholders’ Equity $ 2,640.0   $ 2,640.0    $ 2,640.0 $ 2,640.0
Market Value of Typical Company         $ 2,640.0    $ 2,540.0    $ 2,540.0 $ 2,540.0
Mkt Value/Book Value                         1.00         0.96         0.96      0.96
Econ ROE                                    0.00%      (3.79%)      0.00%      0.00%
Acctg ROE                                   0.00%       0.00%       0.00%      0.00%
Econ ROE = (Change in mkt value + Dividends)/Beginning Mkt value
06c1


Note how MV/BV stays away from 1. The only way to bring this back to 1 change the
percentage.
286                                                                                      Chapter 8


(% Sales)
                                 Typical Company
                                Income Statements
                                  for Years Ended
                                12/31/2003     12/31/2004          12/31/2005 12/31/2006
Sales                             $ 1,000.0      $ 1,000.0           $ 1,000.0  $ 1,000.0
Cost of Goods Sold                   (300.0)        (300.0)             (300.0)   (300.0)
Gross Margin                         $700.0         $700.0              $700.0     $700.0
Other Expenses:
Wages                                (90.0)           (90.0)                (90.0)         (90.0)
Depreciation                        (410.0)          (410.0)               (410.0)        (410.0)
Bad debts expense                   (200.0)          (200.0)               (200.0)        (200.0)
Net Income                       $      –        $      –       $      –     $    – .
Note how the income statement fails to reflect the unfavorable collection experience.


(% Sales)
                                     Typical Co.
                               Cash Flow Statements
                               for Years Ended 12/31
                                                   2003            2004          2005       2006
Operations:
Net Income                                     $      –        $      –      $       –$         –
Addbacks:
  Depreciation                                     410.0           410.0         410.0     410.0
Changes in accounts that require additions:
  Accounts Receivable, net                      (800.0)         (300.0)         200.0       –
Cash flow from operations                      $(390.0)        $ 110.0        $ 610.0 $ 410.0

Cash flows for investing                       $      –        $      –      $       – $        –

Cash flows from financing                      $      –        $      –      $       – $        –
Change in Cash                                 $(390.0)        $ 110.0        $ 610.0 $ 410.0
239                                                                                                          Chapter 8




                                                                                                                                                                  Accounts Receivable
c. (Aging)
                     Cash                                   Accounts Rec.                 Allow. for Debit Accounts                           Inventory
  12/31/2002     1,000.0                    12/31/2002       –                                                  – 12/31/2002   12/31/2002        –
                          90.0    03we       03sales     1,000.0                                            200.0   03bde       03purch     300.0 300.0   03cgs
                         300.0   03purch    12/31/2003   1,000.0                                            200.0 12/31/2003   12/31/2003        –
  12/31/2003       610.0                     04sales     1,000.0     500.0    04coll   04wo     300.0       500.0   04bde       04purch     300.0 300.0   04cgs
    04coll         500.0 300.0   04purch                             300.0    04wo                          400.0 12/31/2004   12/31/2004        –
                          90.0    04we      12/31/2004   1,200.0                       05wo     200.0           –   05bde       05purch     300.0 300.0   05cgs
  12/31/2004       720.0                     05sales     1,000.0   1,000.0    05coll                        200.0 12/31/2005   12/31/2005        –
    05coll       1,000.0 300.0   05purch                             200.0    05wo     05wo     200.0       200.0   05bde       06purch     300.0 300.0   06cgs
                          90.0    05we      12/31/2005   1,000.0                                            200.0 12/31/2006                   –
  12/31/2005     1,330.0                     06sales     1,000.0     800.0    06coll
    06coll         800.0 300.0   06purch                             200.0    06wo
                          90.0    06we      12/31/2006   1,000.0                         Accumulated Depreciation                           Common Stock
  12/31/2006     1,740.0                                                                                     – 12/31/2002                       2,640.0
                                                                                                         410.0    03de                          2,640.0
               Retained Earnings                                   PP&E                                  410.0 12/31/2003                       2,640.0
                             – 12/31/2002   12/31/2002   1,640.0                                         410.0    04de                          2,640.0
                             – 12/31/2003   12/31/2003   1,640.0                                         820.0 12/31/2004                       2,640.0
04c6             300.0       –              12/31/2004   1,640.0                                         410.0    05de
12/31/2004       300.0                      12/31/2005   1,640.0                                       1,230.0 12/31/2005
                         200.0    05c1      12/31/2006   1,640.0                                         410.0    06de
12/31/2005       100.0                                                                                 1,640.0 12/31/2006
12/31/2006       100.0       –
                                                          Depreciation Exp.
                                                03de     410.0       410.0      03c5           Bad Debts Expense                       Income Summary
                                                04de     410.0       410.0      04c5   03bde    200.0     200.0     03c4        03c2      90.0  1,000.0    03c1
                                                05de     410.0       410.0      05c5   04bde    500.0     500.0     04c4        03c3     300.0
06c1                                            06de     410.0       410.0      06c5   05bde        –         –     05c4        03c4     500.0
                                                                                       06bde    200.0     200.0     06c4        03c5     410.0
                     Sales                                                                                                      04c2      90.0  1,000.0    04c1
03c1           1,000.0 1,000.0    03sales                  Wages Expense                                                        04c3     300.0
04c1           1,000.0 1,000.0    04sales       03we      90.0      90.0        03c2                                            04c4     500.0
05c1           1,000.0 1,000.0    05sales       04we      90.0      90.0        04c2                                            04c5     410.0    300.0    04c6
06c1           1,000.0 1,000.0    06sales       05we      90.0      90.0        05c2                                            05c2      90.0  1,000.0    05c1
                                                06we      90.0      90.0        06c2                                            05c3     300.0
               Cost of Goods Sold                                                                                               05c4         –
03cgs           300.0 300.0     03c3                                                                                            05c5     410.0
04cgs           300.0 300.0     04c3                                                                                            05c6     200.0
05cgs           300.0 300.0     05c3                                                                                            06c2      90.0  1,000.0    06c1
06cgs           300.0 300.0     06c3                                                                                            06c3     300.0
                                                                                                                                06c4     200.0
                                                                                                                                06c5     410.0




                                                                                                                                                                  287
288                                                                                Chapter 8


c. (Aging)
                                  Typical Company
                                   Balance Sheets
                                     as of 12/31
                                              2003         2004         2005      2006 .
Cash                                       $ 610.0        $ 720.0    $ 1,330.0 $ 1,740.0
Accounts Receivable, net                       800.0        800.0        800.0     800.0
Total Current Assets                       $ 1,410.0    $ 1,520.0    $ 2,130.0 $ 2,540.0

Buildings & Machinery                      $ 1,640.0    $ 1,640.0    $ 1,640.0    $ 1,640.0
Less: Accumulated Depreciation                (410.0)      (820.0)    (1,230.0)    (1,640.0)
Buildings & Machinery, net                 $ 1,230.0      $ 820.0      $ 410.0    $       –
Total Non-current Assets                   $ 1,230.0      $ 820.0      $ 410.0    $       –
Total Assets                               $ 2,640.0    $ 2,340.0    $ 2,540.0    $ 2,540.0
Shareholders’ Equity
Common Stock                               $ 2,640.0    $ 2,640.0    $ 2,640.0 $ 2,640.0
Retained Earnings                                  –       (300.0)      (100.0)   (100.0)
Total Shareholders’ Equity                 $ 2,640.0    $ 2,340.0    $ 2,540.0 $ 2,540.0
Total Liabilities & Shareholders’ Equity   $ 2,640.0    $ 2,340.0    $ 2,540.0 $ 2,540.0
Market value of Typical Company            $ 2,640.0    $ 2,540.0    $ 2,540.0 $ 2,540.0
Mkt Value/Book Value                            1.00         1.09         1.00      1.00
Econ ROE                                       0.0%       (3.79%)        0.0%         0.0%
Acctg ROE                                      0.0%       (11.4%)        8.5%         0.0%
Econ ROE = (Change in mkt value + Dividends)/Beginning Mkt value
06c1


Note how MV/BV goes back to 1. Aging has a self-correcting mechanism.
Accounts Receivable                                                                               289


(Aging)

                                     Typical Company
                                    Income Statements
                                      for Years Ended
                              12/31/2003      12/31/2004            12/31/2005      12/31/2006
Sales                         $ 1,000.0       $ 1,000.0             $ 1,000.0       $ 1,000.0
Cost of Goods Sold                (300.0)         (300.0)               (300.0)         (300.0)
Gross Margin                  $    700.0       $   700.0             $   700.0      $    700.0
Other Expenses:
Wages                                (90.0)            (90.0)            (90.0)              (90.0)
Depreciation                        (410.0)           (410.0)           (410.0)             (410.0)
Bad debts expense                   (200.0)           (500.0)                 –             (200.0)
Net Income                    $          –         $ (300.0)           $ 200.0          $        –


(Aging)
                                        Typical Co.
                                  Cash Flow Statements
                                  for Years Ended 12/31
                                                 2003      2004                 2005            2006
Operations:
Net Income                                  $       – $ (300.0)             $ 200.0         $      –
Addbacks:
  Depreciation                                  410.0     410.0                 410.0           410.0
Changes in accounts that require additions:
  Accounts Receivable, net                    (800.0)         –                   –               –
Cash flow from operations                   $ (390.0)  $ 110.0              $ 610.0         $ 410.0

Cash flows for investing                       $         –      $       –   $      –        $      –

Cash flows from financing                      $         –      $       –   $      –        $      –

Change in Cash                                 $ (390.0)        $ 110.0     $ 610.0         $ 410.0


d.   Note how income under aging reflects the unfavorable $100 loss in collections.
     It doesn’t get things right, because the $100 is the total over two periods: 2004
     and 2005.
290                                                                              Chapter 8



C8-4 Mechanical Technology Incorporated

a.    The accounts are shown below:

                              Accounts Receivable (gross)
       Beginning balance           5,058
       Sales                      12,885    13,916          Collections (PLUG)
                                                62          Write-offs
       Ending balance              3,965


                            Allowance for Doubtful Accounts
                                             99             Beginning balance
       Write-offs                    62      76             Expense for the period
                                            113             Ending balance

      Now, the account, Accounts receivable (net) appears as follows:

                                Accounts Receivable (net)
       Beginning balance            4,959
       Sales                       12,885 13,916            Collections
                                               76           Expense

       Ending balance               3,852
Accounts Receivable                                                                291


b.       MECHANICAL TECHNOLOGY INCORPORATED AND SUBSIDIARIES
               CONSOLIDATED STATEMENTS OF CASH FLOWS
              For The Years Ended September 30, 1999 and 1998
                            (Dollars in thousands)

                                                              1999         1998
OPERATING ACTIVITIES
(Loss) income from continuing operations                 $ (10,729)    $ (2,031)
Adjustments to reconcile net (loss) income to net cash
  provided (used) by continuing operations:
  Depreciation and amortization                                581          323
  Unrealized loss on marketable securities                      (5)
  Equity in losses of Plug Power                             9,363        3,806
  Loss on sale of fixed assets                                  28            9
  Deferred income taxes and other credits                      (10)          13
  Stock option compensation                                     55            -
Changes in operating assets and liabilities net
  of effects from discontinued operations:
  Accounts receivable (net)                                  1,107       (1,064)
  Accounts receivable—related parties                          (18)            -
  Inventories                                                   (4)        (362)
  Prepaid expenses and other current assets                   (174)        (346)
  Accounts payable                                          (1,450)          788
  Income taxes                                                  (7)         (76)
  Accrued liabilities                                       (1,085)        (519)
                                                           ___ ___        _____
Net cash (used) provided by continuing operations           (2,348)          541

ACCOUNTS RECEIVABLE RESERVE, and ACCOUNTS RECEIVABLE in the cash flow
statement should be replaced with one line, ACCOUNTS RECEIVABLE (NET) . . .
$1,107 ($4,959 – $3,852), the amount by which the net accounts receivable decreased
in 1999. Note that this is also $1,093 + $14.
292                                                                                   Chapter 8


c.    Complete the following table (assume all sales are on account):

                                             1999                      1998
       Bad debt expense           76                         95
       (Bde)
       Sales                      12,885                     21,028
       Bde/sales                  .0059                      .0045
       Ending accounts            3,965                      5,058
       receivable balance
       (Earb)
       Bde/Earb                   .019                       .019

      In light of the above table, it is more likely that Mechanical Technology uses the
      aging method to determine bad debt expense, since Bde/Earb is more stable
      than Bde/Sales.


C8-5     Mentor Corporation
a.              1999
      Bad Debt Expense                                                 960
        Allowance for Doubtful Accounts                                                960
      Allowance for Doubtful Accounts                                  494
        Accounts receivable                                                            494
                2000
      Bad Debt Expense                                                1,888
        Allowance for Doubtful Accounts                                              1,888
      Allowance for Doubtful Accounts                                  984
        Accounts receivable                                                            984
b. Ratio of bad debt expense to net sales revenue:
      (A) (Bad Debt Expense) / (Net Sales)
                  1998                          1999                          2000
          (933/180,267) = .0052          (960/202,788) = .0047        (1,888/247,344) = .0076
      (B) Ratio of allowance for doubtful accounts to gross accounts receivable:
          (Allowance for Doubtful Accounts)/(Gross A/R)
                 1998                           1999                          2000
          (1,606/33,274) = .048    (2,072)/(37,431 + 2,072) = .052     (2,976)/(48,286) =.062
Accounts Receivable                                                                293


     (A) is likely to be very stable if the % of Sales method is used unless split
         between cash and A/R varies.
     (B) is very small (consistent with the statement ―bad debts have been mini-
         mal‖).
     (A) varies too much so accounting must have been based upon (B), Aging.

c.   Accounts receivable turnover = (Net Sales)/(Average A/R)
     1999
     (202,783)/((37,431 + 31,668)/2) = (202,783/34,549.5) = 5.8693
     2000
     (247,344)/((45,310 + 37,431)/2) = (247,344/41,370.5) = 5.97875
     1999
     (365)/(5.8693) = 62.19 days
     2000
     (365)/(5.97875) = 61.05 days
     Caveats:
     Cyclic: Could over- or understate
             Could use average of ending quarterly values
     Should use sales on account (vs. total sales)
     We assumed all sales were accounts receivable sales
     Turns would be fewer if numerator is lower
     Days outstanding would be higher
d. Look at year 2000. If A/R turns double =~ (247,344)/x) = 5.97875(2) = 11.9575
      x = 20,685.26 on average (A/R balance)
     vs: 41,370.5, i.e., would decrease by half

     ... 20,685,260 x.10 = 2.07 million dollars opportunity cost/year
e.   Accrued sales returns: products returned
     Allowances: discounts for prompt payment
     Gross sales computation:
     Net Sales                                                       $247,344
     + Change in Allowance for Sales Returns                            1,275
                                                                     $248,619
294                                                                          Chapter 8


f.    No effect on cash flows. Accounts receivable are decreased and so is the allow-
      ance account. The net effect is zero.

g. Usual analysis:

                                   A/R (Gross)
        Beginning balance        39,503
        Sales                   247,344          984   write-offs
                                          237,577      plug

                                 48,286

      If you consider returns and allowances (more accurate)
                                  A/R Gross
        Beginning balance        39,503
        Sales           247,344 + 1,275     984        write-offs
                                                  0    deductions for
                                                       returns
                                           238,852     plug

                                 48,286


      So cash inflow is somewhere in the neighborhood of $238,252. This assumes
      warranty expense is not netted out from sales to arrive at net sales-only sales
      returns and allowances are.