Compute the price of a risk-free bond with a face value of $1,000 that has seven years left to maturity, a coupon rate of 5%, and annual interest payments. Assume it just made a coupon payment (i.e., it has seven annual payments left). The current term structure of risk-free rates is provided below. Face value Coupon rate $ 1,000.00 5.00% Term structure Maturity 1 2 3 4 5 6 7 Risk-free yields 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% Coupon payment Face value Cash flows PV (CF) Price

Compute the price of a risk-free bond with a face value of $1,000 that has seven years left to maturity, a coupon rate of 5%, and annual interest payments. Assume it just made a coupon payment (i.e., it has seven annual payments left). The current term structure of risk-free rates is provided below. Face value Coupon rate $ 1,000.00 5.00% Term structure Maturity 1 2 3 4 5 6 7 Risk-free yields 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% Coupon payment Face value Cash flows PV (CF) 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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Suppose the face value of a bond which matures in seven years is $5,000, and pays a coupon of $75. Suppose the bond was purchased at a price of $2,000, and the price is estimated to be constant the entire time until maturity. What will be the rate of return on the bond? 40% 4% .0375% 3.75%
Suppose that the term structure of interest rates is: t 0.5 1 1.5 2 r 1% 1.2% 1.4% 1.8% Interest rates are annual interest rates that are semi-annually compounded. 1. Calculate the price and modified duration of a 1-year bond with a 6% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 2. Calculate the price and modified duration of a 2-year bond with a 10% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 3. Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?
Calculate the duration of a coupon bond with the following features. What general conclusion can we make about the duration of coupon bonds relative to their time to maturity? Face value of $1000 Five years to maturity Coupon rate of 11%, paid semi-annually Current price of $970 (Hint: The effective annual yield should be 12.1604%.)
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%
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?
1. Consider a real return bond with a face value of $15,000 and a coupon yield of 5.2%. What is the coupon payment after one year if the inflation rate is 6.8%? Select one: a) $817.44 b) $833.04 c) $825.24 d) $809.64 I
1) Explain the concept of interest rate risk in bond investment 2) show a numerical example of it by calculating % changes in price for 1 year and 3-year annual coupon bonds. Assume coupon interest rate = 12%, Yield to Maturity = 6%, Face value= 100. Use 2% increase in YTM (i.e., 6% → 8%).
A bond that matures in 10 years has a $1,000 par value. The annual coupon interest rate is 8 percent and the market's required yield to maturity on a comparable-risk bond is 13 percent. What would be the value of this bond if it paid interest annually? What would be the value of this bond if it paid interest semiannually? Question content area bottom Part 1 a. The value of this bond if it paid interest annually would be $enter your response here.
Suppose a 10-year, $1,000 bond with a coupon rate of 8.7% and semiannual coupons is trading for $ 1,034.28 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% APRwhat will be the bond's price?
1. How to calculate the value of a 6 year 2% coupon bond with semiannual payments, 1000 par. Expected return is the risk free rate of 3%. 2. 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)
The term structure for zero-coupon bonds is currently: Maturity (Years) YTM (%) 1 5.2% 2 6.2 3 7.2 Next year at this time, you expect it to be: Maturity (Years) YTM (%) 1 6.2% 2 7.2 3 8.2 Required: What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? Under the expectations theory, what yields to maturity does the market expect to observe on 1- and 2-year zeros at the end of the year? Is the market's expectation of the return on the 3-year bond greater or less than yours?
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)

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