Assume that all interest rates are certain - all investors know how interest rates will change over time. Two years ago, you purchased a 10-year bond with a face value of $1,000.00 and annual coupons of 7.4%. When you purchased the bond, the one year spot rate was 6.3% and the two year spot rate was 9.8%. You reinvested the first coupon payments at the prevailing rate and then sold the bond after two years at a yield to maturity of 10.9%. If your realised compound yield on the bond was 14.4%, what was the bond's initial purchase price?

Assume that all interest rates are certain - all investors know how interest rates will change over time. Two years ago, you purchased a 10-year bond with a face value of $1,000.00 and annual coupons of 7.4%. When you purchased the bond, the one year spot rate was 6.3% and the two year spot rate was 9.8%. You reinvested the first coupon payments at the prevailing rate and then sold the bond after two years at a yield to maturity of 10.9%. If your realised compound yield on the bond was 14.4%, what was the bond's initial purchase price?

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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You purchased a coupon bond that had a maturity of 20 years. The annual coupon interest rate was 10% paid annually, and the par value was $1,000. At the time you purchased the bond, the yield to maturity on the bond was 9%. You sold the bond one year later after receiving the first interest payment. The yield to maturity was 10% when you sold the bond. Calculate the purchase price of the bond. Calculate the selling price of the bond that you received one year later. Calculate the rate of return for the one-year holding period.
You purchased an annual-interest coupon bond one year ago with 7 years remaining to maturity at the time of purchase. The coupon interest rate is 10%, and par value is $1,000. At the time you purchased the bond, the yield to maturity was 9%. If you sold the bond after receiving the first interest payment and the bond's yield to maturity had changed to 8%, your annual total rate of return on holding the bond for that year would have been O 12.58% O 13.53% O4.01% O 14.64% 5.12%
You are working for an investment company that intends to invest in corporate bonds available in the market. The face value of all the bonds is $1000. The bond currently under your consideration pays 5% coupon annually. The bond has 3 years to maturity. Market interest rate is equal to “10% Calculate the price of the bond today, 1 year from now, and 2 years from now (Hint: Today N=3, one year from now N=2, two years from now N=1). Is your bond a premium bond or a discount bond? Calculate annual returns (Current yield), your bond is paying every year. (Show all the working). What will be the price of the bond at the time of maturity?
Jenna bought a bond that was issued by Sherlock Watson Industries (SWI) three years ago. The bond has a $1,000 maturity value, a coupon rate equal to 9%, a market rate (yield to maturity) of 10%, and it matures in 17 years. Interest is paid every six months; the next interest payment is scheduled six months from today. If the yield on a similar risk investment is 11%, what is the current market value (price) of the bond? What is the capital gains yield, current yield, and total yield that will be earned if the bond is held until it matures? Assume that the market rate does not change from now until maturity. Suppose that Jenna wants to sell her bond seven years from today when 10 years remain until maturity. If the market rate is 8% at the time she sells the bond in seven years, for what price will Jenna be able to sell the bond? What would be the capital gains yield, current yield, and total yield that the new investor will earn if he/she holds the bond until it matures 10 years…
Two years ago, you invested in a zero coupon bond with a face value $1,000 and 2-year term to maturity for $910. Today, at the date of maturity, the bond issuer announces that default occurs with a renegotiation price $940. If you accept the renegotiation price at the date of maturity, what is your realized annual rate of return?
You bought one of Great White Shark Repellant Co.'s 7.4 percent coupon bonds one year ago for $1,041. These bonds make annual payments and mature 20 years from now. Suppose you decide to sell your bonds today, when the required return on the bonds is 6 percent. The bonds have a par value of $1,000. If the inflation rate was 4 percent over the past year, what was your total real return on investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
You just bought a newly issued bond which has a face value of $1,000 and pays its coupon once annually. Its coupon rate is 6%, maturity is 20 years and the yield to maturity for the bond is currently 8%. Suppose that one year after you bought the bond, the yield to maturity of the bond declines to 7%. Find the (before-tax) total dollar return (dollar returns from the coupon payment and capital gains) for the one-year investment period.
A $1,000 par value bond was issued 20 years ago at a 9 percent coupon rate. It currently has 5 years remaining to maturity. Interest rates on similar debt obligations are now 10 percent. Compute the current price of the bond using an assumption of semiannual payments. If Mr. Robinson initially bought the bond at par value, what is his percentage loss (or gain)? Now assume Mrs. Pinson buys the bond at its current market value and holds it to maturity, what will her percentage return be? Although the same dollar amounts are involved in parts b and c,explain why the percentage gain is larger than the percentage loss.
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Five years ago, you purchased a corporate for 942.41. At the time, the bond had a YTM of 10% and 9 years left to maturity. Today, the YTM on your bond is 8%. with this information, calculate the realized rate of return on the bond knowing that you bought the bond five years ago, you sold the bond today, you never reinvested the coupons paid on the bond, and the coupon rate on the bond is (9%,2).
You purchase a 20-year bond that has a par value of $1,000 and pays an annual coupon of $100 ($50 every six months). The yield to maturity was 6.0 percent when you purchased this bond. Now, right after you purchased this bond, the yield (reinvestment rate) went up to 13.0 percent (6.5 percent every six months). Determine your realized compounded yield if you hold this bond for 10 years, then sell it, and reinvestment rates stay at 13.0 percent for the entire 10-year period. The yield-to-maturity when you sell the bond is also 13.0 percent. Enter your answer in decimal format, to four decimal places. For example, if your answer is 3.11%, enter "0.0311". Note that Canvas will delete trailing zeros, if entered.
Consider a bond issued by MGM Inc. exactly two years ago. At that time the bond’s time to maturity was 30 years. The bond pays semiannual coupons with the coupon rate of 6% per year. The face value of the bond is $1000. a. What is the bond’s price today, if today’s market interest rate for bonds of comparable maturity and default risk is 8% per year? b. You would like to speculate and believe that tomorrow the market interest rate for comparable bonds would decrease to 5%, would you buy or sell short this bond today? c. Suppose that exactly two years from today the price of the bond will be $900, what is the annual YTM at that time? Please explain without using excel

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