# What is the bondâ€™s approximate yield-to-maturity (YTM)?

```Homework Problems: Bonds (Fin. 338) 1
Homework Problems: Bonds
(Fin. 338)
1. Four years ago, your firm issued \$1,000 par, 25-year bonds, with a 7 percent annual
coupon rate and a 10 percent call premium.
a. If these bonds are now called, what is the approximate yield to call (YTC) for the
investor who originally purchased them when they were issued?
b. If these bonds are now called, what is the actual yield to call (YTC) for the
investor who originally purchased them when they were issued? (Use the
present value method for calculation.)
c. If the current interest rate (yield-to-maturity) is 5 percent, what would an
equivalent non-callable bond be selling for?
2. Assume that you purchase an 8 percent semi-annual, 20-year, \$1,000 par bond,
priced at \$1,012.50, when it has 12 years remaining until maturity.
a. What is the bondâ€™s approximate yield-to-maturity (YTM)?
b. What is the bondâ€™s actual yield-to-maturity (YTM)?
c. If the bond is callable in 3 years, what will its current yield-to-call (YTC) be?
3. Two years ago, you acquired a 10-year semi-annual zero-coupon, \$1,000 par value
bond at a 12% YTM. Recently you sold this bond at an 8 percent YTM. Compute the
horizon yield (HY) for this investment.
4. Bonds of the Abel```

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