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Promissory Note Interest Calculator - DOC

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					Acct 414                                                                Prof. Teresa Gordon


                                      Time Value of Money

                      EXAMPLES AND PRACTICE PROBLEMS

The following problems involve the business activities of Palouse Paper Industries. Use the
compound interest tables in the textbook or a financial calculator or spreadsheet to work the
following problems.
1-1. On July 1, Year 1, PPI issued $10 million of 20-year, 8% bonds, which paid interest
semiannually. The bonds were issued to yield 10%. What were the proceeds of the bond issue?
1-2. On April 1, Year 1, PPI purchased a forklift by paying $5,000 down and $5,000 at the
beginning of each of the next 19 calendar quarters. What was the cost of the forklift for financial
accounting purposes if the rate of interest agreed upon was 16% compounded quarterly?
1-3. PPI needs to accumulate a $5 million trust fund with Idaho First Bank and Trust for the
retirement of a bond issue in 10 years. The company plan to make 20 equal deposits of
$186,078.54, starting in six months, to accumulate the $5 million fund. What annual interest rate is
Idaho First Bank & Trust paying on the balance of the fund?
1-4. PPI also wants to accumulate $500,000 on December 31, Year 10, to retire some preferred
stock. The company deposits $125,000 in a savings account on January 1, Year 1, which will earn
interest at 6% compounded quarterly. PPI's controller asks you to figure out what additional
amount PPI should deposit at the end of each quarter for 10 years to have the $500,000 available at
the end of Year 10. The periodic deposits will also earn interest at the same 6% rate.
1-5. PPI received a promissory note from a customer in the amount of $300,000. The note calls
for payment of $100,000 of principal at the end of each year, starting in three years, plus interest at
the rate of 14% per year on the unpaid balance. Only interest is due at the end of the first two
years. To accelerate the collection, PPI immediately discounts the note with Idaho First Bank &
Trust which is charging a 12% annual interest rate. How much will PPI receive in cash from the
bank?
1-6. PPI wants to make five equal annual savings account deposits beginning June 1, Year 4, in
order to be able to withdraw $75,000 at six annual intervals beginning June 1, Year 9. The amount
on deposit with Idaho First Bank & Trust will earn 8% per annum until the account is exhausted.
The controller asks you to compute the amount of the deposits that will be needed.
1-7. On June 30, Year 3, PPI purchased a machine for $100,000. The downpayment was
$15,000, and the balance will be paid in 48 equal monthly payments, including interest at 18%
compounded monthly. What is the amount of the monthly payment if the first payment is due one
month from the date of the purchase?
1-8. On April 1, Year 2, PPI made a deposit of $100,000 in a fund and left the fund undisturbed
for four years to earn compound interest at a rate which did not change during the four-year period.
At the end of the four years, the fund had accumulated to $132,088.60. If interest was compounded
quarterly, what was the rate of interest earned each quarter?



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Acct 414                                                                Prof. Teresa Gordon


Assume you are confronted with the following happy circumstances. Use your knowledge of
compound interest and present values to choose the alterative which makes the most sense from a
financial point of view. Please do the computations even though the answer seems "obvious."
2-1. A distant relative has contacted you with a desire to help you get started with your career.
She offers you your choice of $27,000 to be received in one of the following three patterns:

(1) One thousand dollars at the end of each of the first three years, starting one year from now;
$3,000 at the end of each of the next three years; and $5,000 at the end of each of the last three
years. Your relative suggests that this might be preferable because you are young and will need
more money as you get older, not only because you will learn to spend more, but also because
inflation will increase your cost of living.

(2) Three thousand dollars at the end of each of the next nine years, starting one year from now.
Your relative points out that this option offers you the advantage of a steady cash flow.

(3) Five thousand dollars at the end of each of the first three years, starting one year from now;
$3,000 at the end of each of the next three years; and $1,000 at the end of each of the last three
years. Your relative points out that she would not recommend this option to you because it would
give you an excess of cash flow during the first three years which might raise your standard of
living so that it would hurt to get less in the later years. She also points out that you could probably
earn only 6% per annum while she can earn 10% annually in a bank in Singapore.


2-2. You have just been notified that you have won the jackpot in the Canadian lottery. You can
accept your winnings in one of the following cashflow streams. Assume you are a Canadian citizen
and therefore not liable for any income taxes on the winnings. Compare the alternatives assuming
a long-term average interest rate on any investments of 8%. Would your answer change if you
could earn only 6% or as much as 10% interest? [In other words, compare the options using 3
different interest rates]

(1) $1,000,000 per year for ten years, first payment received immediately.

(2) $550,000 per year for twenty years, first payment received immediately.

(3) $70,000 per month for the next 15 years, beginning at the end of the first month.
Note:   Present Value of Ordinary Annuity interest factors for n=180 are as follows:
1/2 %    118.504
2/3 %    104.640
5/6 %    93.057




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Acct 414                                                             Prof. Teresa Gordon


Assume that you were recently hired at Genessee Engineering Consultants. The controller
describes several recent transactions and asks you to prepare amortization or accumulation tables
for each.
3-1. Today, we purchased a machine for $54,173. We paid $5,000 down and agreed to make six
equal payments, including interest at 12% compounded semiannually, every six months starting six
months from now.
3-2. We will need $200,000 five years from now to replace our elevator. We want to deposit
five equal amounts in a fund starting one year from now so that we will have the money we need in
five years. We have arranged to invest the money with Idaho First Bank and Trust at 8%
compounded annually.
3-3. On January 1 of Year 1, we invested $37,368 with Rocky Mountain Insurance Company.
The amount on deposit will earn 10% per year. We are planning to withdraw the amount on
deposit in three equal annual installments beginning December 31, Year 4.
3-4. We want to accumulate $58,666 at Idaho First Bank & Trust at the end of five years by
making five equal annual deposits starting one year from now. The fund will earn interest at 8%
compounded annually.
3-5. On January 1, Year 1, we invested $199,635 at 8% compounded annually with Northwest
Life. The amount invested and accrued interest are to be withdrawn in five equal installments
starting on December 31, Year 1.




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Acct 414                                                              Prof. Teresa Gordon


                    Time Value of Money Problems – Homework #1
You are a staff accountant at the CPA firm of Gerald & Minn. In the course of your December 31
audit engagement for Palouse Paper Industries, you are required to apply present value concepts to
the following situations. (Prepare journal entries with supporting documentation for the first three
situations.)
4-1. A non-interest bearing note receivable in the face amount of $120,000 and maturing in three
years was received on December 31 in partial payment of an account receivable. The accountant
for the company credited the customer's account for $120,000 despite a written agreement that the
customer was to receive credit for the "present value of the note discounted at 8% for three years,
interest compounded semiannually."
4-2. The client company had agreed to pay $10,000 per year for five years to a retiring
executive. The payments, which start three years from the end of the current year, were not
recorded in the accounting records. The payments were in lieu of a year-end bonus which would
have been taxed at a combined federal and state income tax rate of over 50%. The company
regularly borrows money at 9% per annum.
4-3. On April 1 of this year the company issued $1,000,000 (face value) in bonds with a coupon
interest rate of 10% and received $1,124,622.10 from the investment banking firm. The first
interest payment was made as scheduled on October 1, and the next is due on April 1 of next year.
The bonds will mature 9 years from the date of issue. The bookkeeper didn't know what to do with
the premium, and had made no accruals at December 31. Therefore, the interest paid in cash is the
only charge so far to interest expense. You determine that the effective interest method should be
used to record interest expense.
4-4. PPI wants to accumulate a fund of $100,000 in six years (from December 31 of the current
year) to retire a long-term note. Three years ago, the board of directors had passed a resolution
instructing the treasurer to make ten equal annual deposits in a fund earning 8% compounded
annually. Because no one knew how to compute the equal deposits, the treasure decided to deposit
$10,000 at the end of each year. The fourth deposit was made on December 31 of the current year.
What equal annual deposits should be made during the next six years, starting a year from now, if
exactly $100,000 is to be accumulated in the fund?
4-5. The company recently purchased a computer for $500,000. The purchase contracts calls for
20 payments of $32,629 every three months starting immediately. You have been asked by the
President of the company to compute the approximate rate of interest charged on this contract on an
annualized basis.




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Acct 414                                                               Prof. Teresa Gordon



As a summer intern with the CPA firm of Gerald & Minn, you are presented with the following
client questions. Prepare the appropriate computations and workpapers to support your answers to
the clients.
5-1. A major sports team has just negotiated a contract with one of the top free agent players
available this year. After months of negotiations, he signed a contract with the following terms:

(1) An annual salary of $900,000 a year for four years, payable in monthly installments of $75,000
per month starting one month from now.

(2) A deferred compensation package of $1,920,000, payable in monthly installments of $40,000
for four years, for services rendered during the four years of active service for the Spokane Stars.
These payments commence one month after the last payment of $75,000 is made.

Your client, the local newspaper, contacts you to verify that the value of the contract is $4,620,000.
You do some checking and find that professional athletes generally have to pay an 18%
compounded monthly rate of interest on personal loans. What is the actual present value of this
contract?
5-2. Genessee Engineering just called to inquire whether a proposed transaction made economic
sense. They had just sold a parcel of land for $51,000 and had the option of receiving $51,000 cash
or $17,000 per year for four years, starting one year from now. Since they don't need the cash right
now, but would like to earn at least 12% before income taxes on idle cash resources, the client asks
you what interest rate is implied by the terms of the installment option.
5-3. Another client, Palouse Cedar Fence, wants to know how much they should pay to buy
$100,000 face value of 8% bonds which mature in five years if interest is paid semiannually and if
12% compounded semiannually is a fair return for this type of investment. The bonds are not
publicly traded.
5-4. Agriculture Micronomics, Inc., wants to make the first of four equal annual deposits in a
fund that will earn 10% and will amount to $500,000 immediately after the last deposit on June 1,
Year 5. The client wants to know the amount of each deposit and "proof" that $500,000 will
actually be available on June 1, Year 5.
5-5. The president and principal stockholder of Palouse Cedar Fence is 50 years old today. He is
worried about retirement and wants to start a pension fund for himself that would give him $30,000
per year for the rest of his life after he retires at age 65. The president wants to know how much
the company will need to set aside each year (annual deposits beginning immediately) in order to
accumulate enough to guarantee his retirement benefit. You use some IRS life expectancy tables to
estimate that he will live to age 80. Assume that the payments after retirement would be made once
a year at the beginning of each year, and that the company can earn 10% interest in all future
periods. [Hint, first determine how much would need to be set aside in a fund on the day he turns
65.]




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Acct 414                                                             Prof. Teresa Gordon


Check Figures for Time Value of Money Problems
1-1   8,284,091.37
1-2   70,669.70
1-3   6% per annum compounded semiannually (i.e., 3% for 6 months)
1-4   5,035.16
1-5   318,087.91
1-6   59,099.98
1-7   2,496.84
1-8   1.75% per quarter
2-1   (1) 18,830
      (2) 20,406
      (3) 21,982
2-2   Using 8%:
      (1) 7,246,887.91
      (2) 5,831,979.56
      (3) 7,324,841.45
3-1   $9,999.95 or about $10,000
3-2   34,091.29
3-4   19,999.91 or about $20,000
3-5   9,999.99 or about $10,000
3-6   50,000
4-1   A/R                  25,162.26
      N/R                               25,162.26
4-2   Salary Expense       32,738.42
      Bonus Payable                     32,738.42
4-3   12/31/1: Correct 10/1/1 entry:
      Prem on B/P            5,015.12
      Interest Expense                   5,015.12

      12/31/1: Record accrued interest expense
      Prem on B/P           2,607.86
      Interest Expense     22,392.14
      Interest Payable                   25,000.00
4-4   3,884.13
4-5   3% per quarter
                Better answer: 12% compounded quarterly
5-1   3,219,556.39
5-2   12.59%
      Acceptable answer: between 12 & 14%
5-3   $85,279.83
5-4   An amortization table would be proof
5-5   $7,387.25 or $7,181.76 depending on assumptions made

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