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Consider an annual bond with a coupon rate of 10 percent, four years to maturity, and a current price of $1,100. Suppose the yield on the bond suddenly increases by 200 basis points. a) What is the modified duration of the bond (before the price increase)? years. b) Using the modified duration (from part a), what is the approximate new price of the bond? c) What is the exact new bond price using the usual bond pricing formula (you can use either financial calculator or excel for this part)?

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)

7th Edition

ISBN:9780357033609

Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Chapter12: Investing In Stocks And Bonds

Section: Chapter Questions

Problem 10FPE

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Consider an annual bond with a coupon rate of 10 percent, four years to maturity, and a current price of $1,100. Suppose the yield on the bond suddenly increases by 200 basis points.

a) What is the modified duration of the bond (before the price increase)?

years.

b) Using the modified duration (from part a), what is the approximate new price of the bond?

c) What is the exact new bond price using the usual bond pricing formula (you can use either financial calculator or excel for this part)?

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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.)
Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may be called in 4 years at a call price of 1,060. The bond sells for 1,100. (Assume that the bond has just been issued.) a. What is the bonds yield to maturity? b. What is the bonds current yield? c. What is the bonds capital gain or loss yield? d. What is the bonds yield to call?
Yield to Maturity and Yield to Call Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?

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