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Q:Calculate the price based on the "ask" quote of the following T-Bill:
June 16 '05 180 2.42 2.41. Assume a face value of $10,000. Based on the calculated price, calculate the annualized HPR using a 365 day year. Can you tell me the formula I need to use since I missed class on the day that we covered Bills?
A good shower head and my right hand - the two best lovers that I ever had.
For the 13-week bill, the same formula would be used, dividing 360 by a maturity of 91 days rather than 182 days.
The Investment Yield Method
When comparing the return on investment in T-bills to other short-term investment options, the investment yield method can be used. This yield is alternatively called the bond equivalent yield, the coupon equivalent rate, the effective yield and the interest yield.
The following formula is used to calculate the investment yield for T-bills that have three- or six-month maturities:
Investment yield = [(FV - PP)/PP] * [365 or 366/M]
Example
What is the investment yield of a 182-day T-bill, auctioned at an average price of $9,659.30 per $10,000 face value?
For the 13-week bill, the same formula can be used, dividing 365 (or 366) by a maturity of 91 days.
Yields on Treasury Notes and Bonds
Treasury notes and bonds, fully-backed U.S. debt instruments with maturities of more than one year, pay the investor a fixed annual rate of return or coupon (paid semi-annually). The return on a Treasury note or bond is equal to its face value times the coupon interest rate.
Formulas used by Treasury to calculate the investment yield on notes and bonds are complicated and vary, depending on the maturity of the issue.
However, the investment yield on a bond or note held to maturity can be approximated with the following formula:
R = coupon rate FV = face value
PP = purchase price M = years to maturity
Example
What is the investment yield of a seven-year Treasury note issued at a price of $99.709, with an annual Treasury announced coupon of 7 7/8, payable semi-annually?
Doesn't matter now, it wasn't one of the two debt security valuations we had to know for the quiz. I should be able to meet my prof for his office hours to figure it out before the exam next week. Thanks though.
Q: How did I do on my quiz?
A good shower head and my right hand - the two best lovers that I ever had.
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