a. A 10-year $1000-par 6% coupon bond has a YTM of 8.5%. What is thebond's expected capital gains yield?b. If you sell the bond 4 years after buying it, and the bond's yield haschanged to 7.5%, what is your HPR?c. What sale price would have been required in order for the investor to haveearned a 12% HPR?d. What YTM would be required for the bond to have the sale price youfound in the previous question?

Part (a): Expected Capital Gains YieldGiven:10-year $1000-par 6% coupon bondYield to Maturity (YTM)…

Answered: a. A 10-year $1000-par 6% coupon bond…

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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What price would you pay for a 10-year, AA bond with a Face Value of $1,000 and a coupon rate of 7.10%?
A. (1) Suppose that you have a bond with a face value of $1,000 and a coupon rate of 8% for one year and that you buy another one after one year. What will be your gain if the interest rate increases up to 10%? (2) Suppose that the expectations theory is true and that you can buy a three-year bond with an interest rate of 6% or three consecutive one-year bonds with interest rates of 4%, 5%, and 6%. Which option would you choose to undertake? Why? (3) One-year T-bill rates over the next five years are expected to be 4%, 5%, 6%, 6.5%, and 8%. If five-year T-bonds are yielding 13%, what is the liquidity premium on this bond?
You plan to buy an 8% coupon 8-year maturity bond when market rate of return of similar bond is 10%. a) Calculate the proper price for this bond. b) TWO years later, the market rate has changed to 9% and the price of your bond has also changed accordingly. If you sell this bond at the market price, what is the ANNUAL rate of return from your investment in this bond? c) What will be your real rate of return over the two years if inflation rate is 3% in the first year and 5% in the second?
a. You purchased a new issue GE Corp bond. The bond has a face valueof $100, coupon interest rate of 4%, and a maturity of 10 years. Four(4) years later you sell the bond in the secondary market; however,market interest rates for bonds of equal risk and maturity are now3.5%. Calculate the selling price of your bond. b.Calculate the Annualized Holding Period Return (HPR) on thisinvestment that was held for 4 years.
You are considering investing in a 20% coupon rate bond with the annual coupons, a three-year majority and a face value of $1000. You observe the following prices for discount or zero - coupon bonds with face value of $100 (STRIPS): Time to maturity 1 year 2 Years 3 Years Price 96.71 92.21 84.47 (a) What is the fair market price of the bond? (b) What is the yield to maturity of the bond? (c) What is the yield to maturity on the one-year STRIP? (d) What is the yield to maturity on the two-year STRIP? (e) What is the yield to maturity on the three-year STRIP? (f) What does the market expect the 1 year to be in 1 year from now? (g) What does the market expect the 1 year to be in 2 years from now? (h) What does the market expect the 2 years to be in 1 year from now?
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?
You are considering investing in a 20% coupon rate bond with the annual coupons, a three-year majority and a face value of $1000. You observe the following prices for discount or zero - coupon bonds with face value of $100 (STRIPS): Time to maturity 1 year 2 Years 3 Years Price 96.71 92.21 84.47 (a) What is the fair market price of the bond? (b) What is the yield to maturity of the bond? (c) What is the yield to maturity on the one year STRIP? (d) What is the yield to maturity on the two-year STRIP? (e) What is the yield to maturity on the three year STRIP? (f) What does the market expect the 1 year to be in 1 year from now? (g) What does the market expect the 1 year to be in 2 years from now? (h) What does the market expect the 2 years to be in 1 year from now?
You buy a bond today that has a coupon rate of 6.5%, with 10 years to maturity, and is trading at a YTM of 5.6% Assume that one year later, the bond is trading at a YTM of 5.0% What was the annual percentage return you earned by owning the bond? TIP: The annual return on a bond is equal to (Price(1) - P(0) + Coupon Payments)/P(0) See textbook, Section 6.4 Bond Rates of Return. Remember that when you calculate the value of the bond in one year, you will have received two coupons. Also, when you use the above formula, the prices of the bonds P(0) and P(1), as well as the coupons, should be calculated as dollars, not percentages of par value.
Suppose an investor has a 5-year investment horizon. He purchased an 8-year paying an 8% annual coupon rate while the bond's initial annual yield to maturity is 6%. The bond makes coupon payments semi-annually. The investor expects that he can reinvest the coupon at an annual interest rate of 7%. At the beginning of year 6, he expects the then yield to maturity to be 7%. What is the total return for this bond?
Firm ABC has a bond with face value of $100, coupon rate of 6%, and a 10-years maturity. Firm ABC makes semi-annual coupon payments. Investors require a return of 7%. (1) What is the present value of all coupon payments? (2) What is the present value of face value? (3) What is the value of the bond? (4) If the price of the bond is $100, will you invest in such a bond? (5) If interest rate goes up by 2%, what will be the value of the bond? (6) What will be the rate of change in the value of the bond compared to the value of (3) above?
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