Answered: What's the value to you of a $1,000…

What's the value to you of a $1,000 face-value bond with an 12% semi-annual coupon rate and 7 years to maturity when your required rate of return is 10 percent?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 4MC

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Concept explainers

Bond Valuation

Bond valuation are the notes issued by the corporation to raise long-term funds for the business. The corporations are required to pay the interest on such liabilities at a specified rate of interest (termed as coupon rate) at specified dates which may be on semi-annual or annual basis. These interest payments may be in the form of coupons.

Question

What's the value to you of a $1,000 face-value bond with an 12% semi-annual coupon rate
and 7 years to maturity when your required rate of return is 10 percent?

Definition Definition Calculates the present value of a bond's expected future periodic coupon payments. Bond valuation determines the theoretical fair value of a particular bond and helps investors estimate what rate of return they could expect. The bond's theoretical fair value is computed by discounting the future cash flows or coupon payments by an applicable discount rate.

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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?
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?
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 Current Yield You just purchased a bond that matures in 5 years. The bond has a face value of 1,000 and an 8% annual coupon. The bond has a current yield of 8.21%. What is the bonds yield 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.)