For the following questions, assume the normal case that coupon payments are semi-annual. a. What is the yield to maturity on a 18-year, 5.9% coupon bond if the bond is currently selling for $1,000? b. For the bond above, suppose that immediately after purchase market rates change to 3.80%. If you hold the bond for 4 years and then sell it, what is your effective annual return on this investment? a. The YTM is % (enter response rounded to decimal places; i.e., x.xx%) b. Your effective annual return is % (enter response rounded to decimal places; i.e., x.xx%)

For the following questions, assume the normal case that coupon payments are semi-annual. a. What is the yield to maturity on a 18-year, 5.9% coupon bond if the bond is currently selling for $1,000? b. For the bond above, suppose that immediately after purchase market rates change to 3.80%. If you hold the bond for 4 years and then sell it, what is your effective annual return on this investment? a. The YTM is % (enter response rounded to decimal places; i.e., x.xx%) b. Your effective annual return is % (enter response rounded to decimal places; i.e., x.xx%)

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 wish to purchase a bond with a 17-year maturity, an annual coupon rate of 11.5%, a face value of $1,000, and semiannual interest payments. If you require a 9.5% return on this investment, what is the maximum price you should be willing to pay for the bond?
A bond has 10 years until maturity, carries a coupon rate of 9%, and sells for $1,100. Interest is paid annually. a) If the bond has a yeild to maturity of 9% 1 year from now, what will its price be at that time? b) What will be the rate of return on the bond? c) Now assume that interest is paid semannually. What will be the rate of return on the bond? d) If the inflation rate during the year is 3% what is the real rate of return on the bond?
Consider a bond with a face value of $2,000 that pays a coupon of $150 for 10 years. Suppose the bond is purchased at $500, and can be resold next year for $400. What is the rate of return of the bond? 10% 0% -10% 20%
What is the Macaulay duration of a semi-annual bond with a coupon rate of 7 percent, five years to maturity, and a current price of $959? What is the modified duration? Duration is __. years. Modified duration is __ years.
Suppose the real risk-free rate of interest is 2%. Inflation is expected to be 2% for 2 years and then 3% thereafter. The maturity risk premium is 0.2% (t). where t is the number of years until maturity. The default risk premium is 2%. The liquidity premium is 1%. What is the nominal interest rate on a 4 year bond? 9.1% 7.8% 7.1%
A newly issued bond pays its coupons once annually. Its coupon rate is 5%, its maturity is 20 years, and its yield to maturity is 8%.a. Find the holding-period return for a 1-year investment period if the bond is selling at a yield to maturity of 7% by the end of the year.b. If you sell the bond after one year, 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 tax treatment.c. What is the after-tax holding-period return on the bond?d. Find the realized compound yield before taxes for a 2-year holding period, assuming that (i) you sell the bond after two years, (ii) the bond yield is 7% at the end of the second year, and (iii) the coupon can be reinvested for one year at a 3% interest rate.e. Use the tax rates in part (b) to compute the after-tax 2-year realized compound yield. Remember to take account of OID tax rules.
Suppose the continuous forward rate is r(t) = 0.04 + 0.001t when a 8 year zero coupon bond is purchased. Six months later the forward rate is r(t) = 0.03 + 0.0013t and bond is sold. What is the return?
You want to invest in a bond for one year, and are deciding between the following two choices - Bond A and Bond B, both of which have a maturity of 1 year and a par value of $1,000.Bond A is a regular(i.e., nominal- return) with a couponrate of 3% per year, payable semi-annually. The current price of Bond A is $998. Bond B is a real-return bond with a coupon rate of 2% per year, payable annually. The current price of Bond B is $1,000. What is the inflation rate (over the next year) that will make the (nominal) ratesof return of the two choices the same?
Suppose you purchase a 30-year Treasury bond with a 6% annual coupon, initially trading at par. In 10 years’ time, the bond’s yield to maturity has risen to 7% (EAR).a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond?b. If instead you hold the bond to maturity, what internal rate of return will you earn on your investment in the bond?c. Is comparing the IRRs a useful way to evaluate the decision to sell the bond?
For the following questions, assume the normal case that coupon payments are semi-annual. a. What is the yield to maturity on a 10-year, 5.3% coupon bond if the bond is currently selling for $1,000? b. For the bond above, suppose that immediately after purchase market rates change to 3.00%. If you hold the bond for 3 years and then sell it, what is your effective annual return on this investment? a. The YTM is % (enter response rounded to decimal places; i.e., x.xx%) b. Your effective annual return is % (enter response rounded to decimal places; i.e., x.xx%)
A 30-year maturity bond making annual coupon payments with a coupon rate of 11.00% has a ation of 13.50 years. The bond currently sells at a yield to maturity of 5.75%. Ducation a. Find the exact dollar price of the bond if its yield to maturity falls to 4.75%. What is the % change in price? b. Assume that you need to make a quick approximation using the duration rule. What is the % change in price as approximated by the duration rule when the yield to maturity falls to 4.75%? c. Does the duration-rule provide a good approximation of the % price change in this case? Why or why not?
Assuming annual coupon payment, a 3-year 8% coupon bond has a yield to maturity 9 percent. What is the duration? If market rate decrease by 0.75%, what’s the percentage change in bond price using the duration estimation approach?

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