26. Zero Coupon Bonds [LO2] Suppose your company needs to raise $ 45 million and you want to issue 30- year bonds for this purpose. Assume the required return on your bond issue will be 6 percent, and you're evaluating two issue alternatives: a 6 percent semiannual coupon bond and a zero coupon bond. Your company's tax rate is 35 percent.

a. How many of the coupon bonds would you need to issue to raise the $ 45 mil-lion? How many of the zeroes would you need to issue?

b. In 30 years, what will your company's repayment be if you issue the coupon bonds? What if you issue the zeroes?

c. Based on your answers in (a) and (b), why would you ever want to issue the zeroes? To answer, calculate the firm's after-tax cash outflows for the first year under the two different scenarios. Assume the IRS amortization rules apply for the zero coupon bonds.28. Real Cash Flows [ LO4] You want to have $ 2 million in real dollars in an account when you retire in 40 years. The nominal return on your investment is 10 percent and the inflation rate is 3.8 percent. What real amount must you deposit each year to achieve your goal?

Deposit each year= 13,010.95

Real rate of return is 10%-5% = 5%

P(1.05^40-1) / .05 = 2,000,000.

P=16556

8. Coupon Rates [ LO2] Ponzi Corporation has bonds on the market with 14.5 years to maturity, a YTM of 6.1 percent, and a current price of $ 1,038. The bonds make semiannual payments. What must the coupon rate be on these bonds?

10. Inflation and Nominal Returns [ LO4] Suppose the real rate is 2.5 percent and the inflation rate is 4.1 percent. What rate would you expect to see on a Treasury bill?

(1+R)= (1+r)*(1+h)

R=((1+0.025)*(1+0.09))-1

H=3.67%

12. Nominal versus Real Returns [ LO4] Say you own an asset that had a total return last year of 10.7 percent. If the inflation rate last year was 3.7 percent, what was your real return?

6.75%

17. Interest Rate Risk [ LO2] Bond J is a 3 percent coupon bond. Bond K is a 9 percent coupon bond. Both bonds have 15 years to maturity, make semiannual payments, and have a YTM of 6 percent. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? What if rates suddenly fall by 2 percent instead? What does this problem tell you about the interest rate risk of lower- coupon bonds?

????????????????

14. Using Treasury Quotes [ LO2] Locate the Treasury bond in Figure 7.4 maturing in August 2029. Is this a premium or a discount bond? What is its current yield? What is its yield to maturity? What is the bid- ask spread?

This is a premium bond because it sells for more than 100% of face value. The current yield is:

Current yield = Annual coupon payment / Price = $61.25/$????? = ?????

The YTM is located und the "Asked Yield" column, so the YTM is ????%.

The bid-ask spread is the difference between the bid price and the ask price, so:

Bid-Ask spread = 111:29 - 111:31 = ????

Intermediate

18. Bond Yields [ LO2] Martin Software has 9.2 percent coupon bonds on the market with 18 years to maturity. The bonds make semiannual payments and currently sell for 106.8 percent of par. What is the current yield on the bonds? The YTM?The effective annual yield?

YTM= 4.06%

Annual YTM= 8.12%