A bond has a face value of $900, is redeemable in nine years, and pays interest of $90 at the end of each of the nine years. If the bond can be purchased for $913,what is the rate of return if the bond is held until maturity?
Present Value = Future value/ ((1+r)^t) | |||||||||
where r is the rate of return and t is the time period | |||||||||
We set up the cash flow and using excel find the rate of return | |||||||||
for which the price of the bond is 913 | |||||||||
the price of the bond is the present value of future payments | |||||||||
rate of return | 0.0975 | ||||||||
year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
future payment | 90 | 90 | 90 | 90 | 90 | 90 | 90 | 90 | 990 |
present value | 82 | 75 | 68 | 62 | 57 | 52 | 47 | 43 | 429 |
price | 913 | ||||||||
The rate of return if the bond is held until maturity is equal to 9.75% |
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