On January 1, 2006 Joan James purchased five 7.2% semi-annual bonds with twenty years to maturity. The maturity value of each bond is
$1000 and it makes its coupon payments on June 30 and December 31 of each year. At the time of the purchase, the bonds’ yield to maturity
was 7.8%. On 1/1/2012, Joan sells the bonds, which are now yielding 4.6%.
Answer the following questions:
What is the purchase price of the bonds?
What is the sell price of the bonds?
What nominal rate of return did Joan receive on this investment i.e., what is her holding period yield? Hint: you must consider the time
value of money when answering this question.
When Joan purchased the bond, its yield to maturity was 7.8%. Why is her holding period yield different than 7.8%?
If the average inflation rate over this holding period was 3.1%, what was Joan’s real rate of return using the Fisher equation 5.2 in your
1 Equation 5.2: 1 + R = (1+r) (1+h) where R = nominal rate of return, r = real rate of return, and h = the inflation rate.
Follow the following instructions:
Complete your work in a Microsoft Word or Excel document.
Show your work wherever possible.
If you use a financial calculator to solve the problems, note your keystrokes.
If you use the spreadsheet to solve these problems, leave your commands in the spreadsheet cells.