Lance Whittingham IV specializes in buying deep discount bonds.
These represent bonds that are trading at well below par value. He
has his eye on a bond issued by the Leisure Time Corporation. The
$1,000 par value bond pays 7 percent annual interest and has 16
years remaining to maturity. The current yield to maturity on
similar bonds is 11 percent.
a. What is the current price of the bonds? Use
Appendix B and Appendix D for an approximate answer but calculate
your final answer using the formula and financial calculator
methods. (Do not round intermediate calculations. Round
your final answer to 2 decimal places. Assume interest payments are
annual.)
b. By what percent will the price of the bonds
increase between now and maturity?
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a | Present Value of Interest Payment | |
PV a | A*PV ifa (n=16, i=11% | |
(1000*7%)*7.379 | ||
70*7.379 | ||
=516.53 | ||
Present Value of Principal Payment at maturity | ||
PV | FV*PV if (n=16, i=11%) | |
1000*0.188 | ||
=188 | ||
Present Value of Interest Payment | 516.53 | |
add: Present Value of Principal Payment at maturity | 188 | |
Price of the bond | 704.53 | |
b | Current Price | 704.53 |
Price at maturity | 1000 | |
Increase in price to matrurity (1000-704.53) | 295.47 | |
% increase | 295.47/704.53 | |
41.94% |
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