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CHAPTER 6 MONEY MARKET YIELDS AND RATES

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CHAPTER 6

MONEY MARKET YIELDS AND RATES

• The money market is the market for short-

term securities with maturity of one year or

less.

• The market is a dealer market.

• The dealer or market maker will stand ready

to buy or sell the securities in the money

markets. Bid and ask prices will be

available for securities.

Money Market Instruments

• Treasury bills

• Commercial paper

• Repurchase agreements

• Banker’s acceptances

• Negotiable certificates of deposit

• Federal funds

Discount Instruments

• These securities trade at a discount from par

and do not have a stated rate of interest:

• Treasury bills

• Commercial paper

• Repurchase agreements

• Banker’s acceptances

Par Plus Accrued Interest

• These instruments accrued interest at a

stated rate and will trade at a price that

reflects par plus accrued interest:

• Negotiable certificates of deposit

• Federal funds

Security Analysis

• Analysis of money market instruments

should consider the following factors:

• Credit risk

• Liquidity risk

• Maturity risk

• Other characteristics

BANK DISCOUNT YIELD



• D = [ (Par - P0)/ Par] * (360 / n)



• P0 = Par - (Par * D * n / 360)

BANK DISCOUNT YIELD

• Assume that a dealer quotes a rate of

4.00% for a T-bill maturing in 90 days.



• Price = P0 = 100- (100* .04 * 90/360) =

99.00



• For $1 million of bills the price would be

$990,000.00

ANNUAL YIELD

(NO COMPOUNDING)

• Y = [( Par (or P1) - P0) / P0] * (365 / n)

Or alternatively:

• Y = (365 * D) / (360 - D*n)



Y is also known as bond equivalent yield or

coupon equivalent yield.

ANNUAL YIELD

(NO COMPOUNDING)

• For the bill with the 4.00% BDY, the Y

would be as follows:

• Y = [( Par (or P1) - P0) / P0] * (365 / n)

• Y = (100 – 99) / 99 * 365/ 90 = 4.10%

Effective Annual Yield

• Allowing for the compounding results in a

higher number.

• Y* = Effective Annual Yield

• Y* = [( P1 / Po) ^ (365 / n)] -1

Effective Annual Yield



• For the bill with the 4.00% BDY, the Y

would be as follows:

• Y* = [( P1 / Po) ^ (365 / n)] -1

• Y* = (100/99) ^ (365/90) –1 = 4.16%

U.S. Treasury Bills

• No credit risk.

• Excellent liquidity.

• Original maturities of 91-days, 182-days

and 364-days.

• Sold on an auction basis. Weekly for the

91-days and 182-day bills. Monthly for the

one-year bill.

U.S. Treasury Bills

• Credit Markets page in the WSJ:

• http://online.wsj.com/page/0,,2_0031,00.ht

ml?mod=2%5F0031

Primary markets

• Primary market page from the WSJ:

• http://online.wsj.com/documents/mktindex.

htm?rates.htm

U.S. Treasury Bills

• Secondary market for T-bills

• Secondary market page from the WSJ:

• http://online.wsj.com/documents/tsyquote.htm

Days

Ask

Maturity to Bid Asked Chg

Yield

Mat.



Feb 08 07 2 4.81 4.80 +0.10 4.87

Feb 15 07 9 4.86 4.85 +0.14 4.92

Feb 22 07 16 4.95 4.94 +0.07 5.02

Mar 01 07 23 4.97 4.96 +0.06 5.04

Mar 08 07 30 5.02 5.01 +0.06 5.10

Mar 15 07 37 5.00 4.99 +0.03 5.09

Mar 22 07 44 4.98 4.97 .... 5.07

Mar 29 07 51 5.00 4.99 +0.02 5.10

Apr 05 07 58 4.99 4.98 .... 5.09

Apr 12 07 65 5.01 5.00 +0.01 5.12

Apr 19 07 72 5.00 4.99 .... 5.11

Apr 26 07 79 5.00 4.99 .... 5.12

May 03 07 86 5.00 4.99 -0.01 5.12

May 10 07 93 5.01 5.00 -0.01 5.14

May 17 07 100 4.99 4.98 -0.01 5.12

Commercial Paper

• Commercial paper is a short-term, unsecured

promissory note issued by well-known,

creditworthy firms.

• Credit risk depends on the credit quality of the

issuing firm. Ratings range from prime1, 2, or 3

to Not Prime.

• Maturities range from a few days up to 270 days

and can be specified by the buyer.

• A secondary market exists but is relatively

inactive.

Commercial Paper Ratings

Moody’s short-term ratings are opinions of the ability of issuers to honor short-

term financial obligations. Ratings may be assigned to issuers, short-term

programs or to individual short-term debt instruments. Such obligations generally

have an original maturity not exceeding thirteen months, unless explicitly noted.

Moody’s employs the following designations to indicate the relative repayment

ability of rated issuers:

P-1 Issuers (or supporting institutions) rated Prime-1 have a superior ability to

repay short-term debt obligations.

P-2 Issuers (or supporting institutions) rated Prime-2 have a strong ability to

repay short-term debt obligations.

P-3 Issuers (or supporting institutions) rated Prime-3 have an acceptable ability

to repay short-term obligations.

NP Issuers (or supporting institutions) rated Not Prime do not fall within any of

the Prime rating categories.

Note: Canadian issuers rated P-1 or P-2 have their short-term ratings enhanced by

the senior-most long-term rating of the issuer, its guarantor or support-provider.

Repurchase Agreements

• A repurchase agreement or repo is the sale of

securities with a simultaneous agreement to

repurchase the securities on a specified date.

• Reverse repo is a purchase with agreement of

resell.

• Credit risk depends on the quality of the securities

with a “haircut” for lower-quality and long-

maturity securities.

• Quotes are difficult to get beyond 90 days.

• Secondary market is very illiquid.

Banker’s Acceptance

• A banker’s acceptance is a commercial time draft

“accepted” by a commercial bank.

• BA’s are most often used to finance international

trade.

• Credit risk depends on the quality of the accepting

bank. It is “double-barreled” paper.

• Since BA’s are frequently discounted and sold in

the secondary markets, an active market exists.

• Availability of quality paper is good up to 60 days.

SHORT-TERM INTEREST-

BEARING SECURITIES

• These formulae are for money market

securities with a stated interest rate:



• I = [( P1 – P0 ) / P0] * (360/n)



• P1 = P0 + (I * P0 * n/360)

Negotiable Certificates of Deposit

• NCDs are large denomination CDs (>100k)

issued by large banks.

• Credit quality depends on the bank since

only the first $250,000 is FDIC insured.

• Original maturity is between two weeks and

one year and can be negotiated by the

depositor.

• A secondary market exists for NCDs.

Federal Funds

• Fed funds are funds transferred (loaned or

borrowed) between financial institutions usually

for a period of one day.

• Terminology is purchased and sold.

• The FRB does not directly control the Fed Funds

rate but moves it by adjusting the level of reserves

through its purchases & sales of T-bills.

• Most Fed Funds transactions are unsecured.



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