5) A 6-year 7.2% annual coupon bond is selling to yield 6.5%. The bond pays interest annually. The par value of the bond is $100. a. What is the price of the 6-year 7.2% coupon bond selling to yield 6.5%? b. What is the price of this bond one year later assuming the yield is unchanged at 6.5%? c. Suppose that one year later the yield of the bond decreases to 6.3%. What is the price change attributable to moving to maturity assuming no change in the discount rate? What is the price change attributable to a decrease in the discount rate from 6.5% to 6.3%? What is the total price change?

5) A 6-year 7.2% annual coupon bond is selling to yield 6.5%. The bond pays interest annually. The par value of the bond is $100. a. What is the price of the 6-year 7.2% coupon bond selling to yield 6.5%? b. What is the price of this bond one year later assuming the yield is unchanged at 6.5%? c. Suppose that one year later the yield of the bond decreases to 6.3%. What is the price change attributable to moving to maturity assuming no change in the discount rate? What is the price change attributable to a decrease in the discount rate from 6.5% to 6.3%? What is the total price change?

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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A bond sells for $900 and is expected to trade for $1000 in one year's time. If the return is 12%, what is its coupon rate?
Consider a bond at par initially issued for a 30-year term. Its nominal rate (annual coupon) is 5%. You buy this bond when it still has 20 years of residual maturity. At that time, the market rate is 8%. A few days after your purchase, the market rate drops to 6% (this assumption is then always verified). You will sell your bond 12 years later (8 years before maturity). What will have been the overall annual profitability of your investment?
Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %
1. You buy a 6 year bond with an annual 5% coupon at par value, $1000. If the yield to maturity at the end of the first year changes to 3% what is the end of the year value of the bond(after the coupon payment, remember: bond value does not include this coupon)? 2. Calculate the value of a 6 year 2% coupon bond with semiannual payments, 1000 par. Expected return is the risk free rate of 3%. 3. Price a 5 year 4% semiannual coupon bond if the yield to maturity is 6% (write the price as if par is 100, use 5 decimal places)
Suppose a five-year face value of $1000 bond with a 9% coupon rate, and coupons are paid semi-annually. The yield to maturity of this bond is 7% (APR with semi-annual compounding). a) Is this bond trading at a discount, at par, or a premium? Explain. b) If the bond's yield to maturity rises to 8% (APR with semi-annual compounding), what price will the bond trade for?
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $90.44, while a 2-year zero sells at $82.64. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year. Required: a. What is the yield to maturity of the 2-year zero? b. What is the yield to maturity of the 2-year coupon bond? c. What is the forward rate for the second year? d. If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Required E Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?…
Suppose a 10-year, $1,000 bond with a coupon rate of 8.8% and semiannual coupons is trading for $1,034.19. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.9% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is ☐ %. (Round to two decimal places.)
Assume the coupon rate is 10% issue at par $1000 and for 15 years. Let say the market interest rate increase to 15% during the life of the bond. a) What is the interest payment for this bond annually b) What is the interest payment on semi-annually c) How much should the investors pay for this bondi.e. the value
Consider a bond that has a face value of $1,000. The bond has a maturity of 25 years and pays coupons of 5.5% per annum. If the bond's required rate of return is 8.0% per annum nominal, and coupons are received semi-annually, what is the current market price of the bond?
Bond P is a premium bond with a 10 percent coupon. Bond D is a 6 percent coupon bond currently selling at a discount. Both bonds make annual payments, have a YTM of 8 percent, and have five years to maturity. (Assume par value of K1,000)(i) What is the current yield for Bond P and Bond D?(ii) If interest rates remain unchanged, what is the expected capital gains yield over the next year for Bond P? For Bond D?(iii)Explain your answers and the interrelationship among the various types of yields.
Suppose you purchase a ten-year bond with 12% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 10.64% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ number.) (Round to the nearest cent. Enter a cash outflow as a negative The total cash flow at time 4 (after the fourth coupon) is $. (Round to the nearest cent. Enter a cash outflow as a negative number.) b. What is the internal rate of return of your investment? The internal rate of return of your investment is %. (Round to two decimal…
A newly issued bond pays its coupons once a year. Its coupon rate is 4.7%, its maturity is 15 years, and its yield to maturity is 7.7%. a. Find the holding-period return for a one-year investment period if the bond is selling at a yield to maturity of 6.7% by the end of the year. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Holding-period return % b. If you sell the bond after one year when its yield is 6.7%, what taxes will you owe if the tax rate on interest income is 40% and the tax rate on capital gains income is 30%? The bond is subject to original-issue discount (OID) tax treatment. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Tax on interest income $ Tax on capital gain $ Total taxes $ c. What is the after-tax holding-period return on the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)…

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