Explore BrainMass
Share

# Bond Yields

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

1. Consider the Leverage Unlimited, Inc., zero coupon bonds of 2008. The bonds were issued in 1990 for \$100. Determine the yield to maturity (to the nearest 1/10 of 1 percent) if the bonds are purchased at the...

a. Issue price in 1990. (Note: To avoid a fractional year holding period, assume that the issue and maturity dates are at the midpoint: July 1of the respective years.)
b. Market price as of July 1, 2004, of \$750.
c. Explain why the returns calculated in Parts a and b are different.

2. American Telephone & Telegraph has issued 81/8 percent debentures that will mature on July 15, 2024. Assume that interest is paid and compounded annually. If an investor purchased a \$1,000 denomination bond for \$1,025 on July 15, 2004, determine the bond's yield to maturity. Explain why an investor would be willing to pay \$1,025 for a bond that is going to be worth only \$1,000 at maturity.

3. Consider again the American Telephone & Telegraph 8 1/8 percent debentures that mature on July 15, 2024 (see problem 6). Determine the yield to call if the bonds are called on July 15, 2010 at \$1,016.55

© BrainMass Inc. brainmass.com December 20, 2018, 5:27 am ad1c9bdddf

#### Solution Preview

** Please see the attached EXCEL file for complete details **

--------------
1. Consider the Leverage Unlimited, Inc., zero coupon bonds of 2008. The bonds were issued in 1990 for \$100. Determine the yield to maturity (to the nearest 1/10 of 1 percent) if the bonds are purchased at the
a. Issue price in 1990. (Note: To avoid a fractional year holding period, assume that the issue and maturity dates are at the midpoint "July 1" of the respective years

For a zero coupon bond
Price x (1+Yield)^ number of years = Face value (redemption value)
Therefore, Yield = (face value / price) ^(1/number of years) - 1
(^ means raised to the power of)
Face value= \$1,000
Issue Price= \$100
Number of years to maturity= 18 (2008-1990)
Therefore yield to maturity= 13.6% =(1000 / 100 )^(1/18)-1
Answer: Yield to maturity= 13.6%

b. Market price as of July 1, 2004, of \$750.

Face value= \$1,000
Issue Price= \$750
Number of years to ...

#### Solution Summary

Bond yield calculations- yield to maturity, yield to call etc.

\$2.19