Chapter 06 – Bonds, Bond Prices, and the Determination of Interest Rates
101. Suppose a family member approaches you to borrow $2,000 for the down payment on an
automobile. You have the cash available in a savings account that currently earns 5% annual
interest. You and the family member consider the following repayment options:
(i) Borrower repays you $100 each year indefinitely.
(ii) Borrower repays $259 each year over the next ten years.
(iii) Borrower repays $300 each year over the next five years, plus a lump-sum payment of
$895 in the fifth year.
(iv) Borrower repays you $2,100 at the end of one year.
For each of the options above, show that the present values of each option are approximately
equal. Then, relate each of the options above to the four types of bonds, indicating which
option is equivalent to which type of bond. Explain why.