You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currently yielding 5%.a. How much of (i) the zero-coupon bond and (ii) the perpetuity will you hold in your portfolio?b. How will these fractions change next year if target duration is now nine years?

You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currently yielding 5%.a. How much of (i) the zero-coupon bond and (ii) the perpetuity will you hold in your portfolio?b. How will these fractions change next year if target duration is now nine years?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter6: Fixed-income Securities: Characteristics And Valuation

Section: Chapter Questions

Problem 4P

See similar textbooks

Similar questions

Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?
What makes for a good investment? Use the approximate yield formula or a financial calculator to rank the following investments according to their expected returns. Buy a stock for $30 a share, hold it for three years, and then sell it for $60 a share (the stock pays annual dividends of $2 a share). Buy a security for $40, hold it for two years, and then sell it for $100 (current income on this security is zero). Buy a one-year, 5 percent note for $1,000 (assume that the note has a $1,000 par value and that it will be held to maturity).
What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)
You are managing a portfolio of £20 million. Your target duration is 6 years, and you can choose from two bonds: a zero-coupon bond with 3 years of maturity and a perpetuity, each currently yielding 5%. Next year, the target duration is 5 years. What is the portfolio weight invested in the perpetuity?
You are managing a portfolio of $1.0 million. Your target duration is 16 years, and you can choose from two bonds: a zero-coupon bond with maturity five years and a perpetuity, each currently yielding 5%. Required: a. How much of (i) the zero-coupon bond and (ii) the perpetuity will you hold in your portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. How will these fractions change next year if target duration is now fifteen years? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
You are considering investing in a security that matures in 10 yearswith a par value of $1,000. During the first five years, the securityhas an 8 percent coupon with quarterly payments (that is, you receive$20 a quarter for the first 20 quarters). During the remaining fiveyears the security has a 10 percent coupon with quarterly payments (thatis, you receive $25 a quarter for the second 20 quarters). After 10years (40 quarters) you receive the par value.Another 10-year bond has an 8 percent semiannual coupon (that is, thecoupon payment is $40 every six months). This bond is selling at itspar value, $1,000. This bond has the same risk as the security you arethinking of purchasing. Given this information, what should be theprice of the security you are considering purchasing?a. $ 898.65b. $1,060.72c. $1,037.61d. $ 943.22e. $1,145.89
You are managing a portfolio of $2 million. Your target duration is 13.5 years, and you choose to invest in a combination of a zero coupon bond with maturity six years and a perpetuity, each currently yielding 5%. The amounts of investment in the zero coupon and the perpetuity should be: $625,000 and $1,375,000 $1,375,000 and $625,000 $2,000,000 and $0 $1,000,000 and $1,000,000
An investor has two bonds in his portfolio that have a face value of $1,000 and pay an 11% annual coupon. Bond L matures in 10 years, while Bond S matures in 1 year. What will the value of the Bond L be if the going interest rate is 6%, 7%, and 12%? Assume that only one more interest payment is to be made on Bond S at its maturity and that 10 more payments are to be made on Bond L. Round your answers to the nearest cent. 6% 7% 12% Bond L $ $ $ Bond S $ $ $ Why does the longer-term bond’s price vary more than the price of the shorter-term bond when interest rates change? Long-term bonds have lower reinvestment rate risk than do short-term bonds. The change in price due to a change in the required rate of return increases as a bond's maturity decreases. Long-term bonds have greater interest rate risk than do short-term bonds. The change in price due to a change in the required rate of return decreases as a bond's maturity increases. Long-term bonds have…
Suppose you have an investment horizon of 10 years and bought a 20-year maturity, 8% coupon bond at par ($1,000) that pays coupons semiannually and is callable at a call price of $1,050. Assume the yield remains constant at 8% for three years after you buy the bond. At the end of year 3, suppose the yield drops to 5% and the issuer calls the bond. Assume you reinvest your funds in a new seven-year bond paying 5% coupons which are paid semiannually, and the yield remains at 5% for seven years. What is your total return until the call date?