Question
Assume you have a 1-year investment horizon and are trying to choose among three bonds. All have the same degree of default risk and mature
Assume you have a 1-year investment horizon and are trying to choose among three bonds. All have the same degree of default risk and mature in 10 years. The first is a zero-coupon bond that pays $1,000 at maturity. The second has an 8% coupon rate and pays the $80 coupon once per year. The third has a 10% coupon rate and pays the $100 coupon once per year.
a. If all three bonds are now priced to yield 8% to maturity, what are the prices of (i) the zero-coupon bond; (ii) the 8% coupon bond; (iii) the 10% coupon bond? (Round your answers to 2 decimal places.)
b. If you expect their yields to maturity to be 8% at the beginning of next year, what will be the price of each bond? (Round your answers to 2 decimal places.)
c. What is your before-tax holding-period return on each bond? (Round your answers to 2 decimal places.)
d. If your tax bracket is 30% on ordinary income and 20% on capital gains income, what will be the after-tax rate of return on each bond? (Round your answers to 2 decimal places.)
e. Recalculate your answers to parts (b)(d) under the assumption that you expect the yields to maturity on each bond to be 7% at the beginning of next year. (Round your answers to 2 decimal places.)
\begin{tabular}{|l|ll|cc|cc|} \hline & Zero Coupon & \multicolumn{2}{|c|}{8 Coupon } & \multicolumn{2}{c|}{10% Coupon } \\ \hline Current prices & $ & 463.19 & $ & 1,000.00 & $ & 1,134.20 \\ \hline \end{tabular} \begin{tabular}{|l|ll|ll|ll|} \hline & \multicolumn{2}{|c|}{ Zero Coupon } & \multicolumn{2}{c|}{8% Coupon } & \multicolumn{2}{c|}{10% Coupon } \\ \hline Price 1 year from now & $ & 500.25 & $ & 1,000.00 & $ & 1,124.94 \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|} \hline & \multicolumn{2}{|c|}{ Zero Coupon } & \multicolumn{2}{c|}{8% Coupon } & \multicolumn{2}{c|}{10% Coupon } \\ \hline Price 1 year from now & & & & & \\ \hline Pre-tax rate of return & & % & % & % \\ \hline After-tax rate of return & & % & % & % \\ \hline \end{tabular}
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started