You purchased a zero-coupon bond one year ago for $277.33. The market interest rate is now 8 percent. Assume semiannualcompounding. If the bond had 17 years to maturity when you originally purchased it, what was your total return for the past year?Assume a par value of $1,000.Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.Total return for the past year%

Given information for Zero coupon bond (ZCB): Remaining time to maturity in years (n) = 17 - 1 = 16…

Answered: You purchased a zero-coupon bond one…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Assume that you pay $815.36 for a long-term bond that carries a coupon of 7.7%. Over the course of the next 12 months, interest rates drop sharply. As a result, you sell the bond at a price of $958.17. a. Find the current yield that existed on this bond at the beginning of the year. What was it by the end of the one-year holding period? b. Determine the holding period return on this investment. (Hint: See Chapter 4 for the HPR formula.) ... a. The current yield that existed on this bond at the beginning of the year is %. (Round to two decimal places.)
What is the Macaulay duration of a bond with a coupon of 6.0 percent, twelve years to maturity, and a current price of $1,062.40? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.) Macaulay Modified Duration 8.989 Years 8.537 Years
What is the Macaulay duration of a bond with a coupon of 7.8 percent, eight years to maturity, and a current price of $1,034.50? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.) Macaulay Modified Duration Years Years
Both Bond A and Bond B have 9.8 percent coupons and are priced at par value. Bond A has 9 years to maturity, while Bond B has 20 years to maturity. a. If interest rates suddenly rise by 2.4 percent, what is the percentage change in price of Bond A and Bond B? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond A Bond B %A in Price % % b. If interest rates suddenly fall by 2.4 percent instead, what would be the percentage change in price of Bond A and Bond B? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. %A in Price Bond A %
What is the Macaulay duration of a bond with a coupon of 5.4 percent, nine years to maturity, and a current price of $1,055.40? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.) Macaulay Modified Duration 8.046 Years 7.082 Years
Bond J has a coupon of 6.4 percent. Bond K has a coupon of 10.4 percent. Both bonds have 20 years to maturity and have a YTM of 7.8 percent. a. If interest rates suddenly rise by 1.2 percent, what is the percentage price change of these bonds? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond J Bond K %A in Price % % b. If interest rates suddenly fall by 1.2 percent, what is the percentage price change of these bonds? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. %A in Price Bond J % Bond K %
Suppose the investor sells his bonds before maturity and uses some of the proceeds to purchase a zero-coupon T-Bill with a $100 face value and 6-month maturity. What is the effective annual rate (EAR) if it was purchased for $95.52?
Your investments are earning 4% per annum compounded annually. You would like to compare this to the yield on bonds which are quoted on a compounded semi-annual basis. What is the equivalent return that you are earning per annum on a compounded semi-annual basis? (Do not round intermediate calculations. Report your result as a percentage. Round the final answers to 2 decimal places. Omit the % sign in your response. For example, if your answer is 3.21%, just enter 3.21) Numeric Response
A 6.45 percent coupon bond with 24 years left to maturity is priced to offer a 5.7 percent yield to maturity. You believe that in one year, the yield to maturity will be 6.2 percent. What would be the total return of the bond in dollars? (Assume interest payments are semiannual.) (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your final answer to 2 decimal places.) Answer is complete but not entirely correct. Total return $ 2.64 × What would be the total return of the bond in percent? (Assume interest payments are semiannual.) (Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round your final answer to 2 decimal places.) Answer is complete but not entirely correct. Total return 0.14%
Both Bond A and Bond B have 6.2 percent coupons and are priced at par value. Bond A has 6 years to maturity, while Bond B has 15 years to maturity. a. If interest rates suddenly rise by 1 percent, what is the percentage change in price of Bond A and Bond B? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) b. If interest rates suddenly fall by 1 percent instead, what would be the percentage change in price of Bond A and Bond B? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
You buy a 20-year bond with a coupon rate of 9.6% that has a yield to maturity of 10,5% (Assume a face value of $1,000 and semiannual coupon payments) Six months later, the yield to maturity is 11,5%. What is your return over the 6 months? Note: Do not round mediate calculations. Enter your answer as a percent rounded to 2 decimal places, Negative amount should be indicated by a minus sign.
What is the Macaulay duration of a bond with a coupon of 8.6 percent, twelve years to maturity, and a current price of $1,043.70? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.) Macaulay Modified Duration Years Years

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