The formula used for the valuation of bonds is shown below (if coupon payments are paid annually):
where | CP | = | Annual coupon payment |
i | = | Yield to maturity | |
n | = | Number of payments (years) | |
FV | = | Face value (par value) |
If coupon payments are paid semi-annually then:
As for bonds that pay coupon payments quarterly, then just replace 2 in the formula above with 4.
The following table shows some of the yield of bonds with their expected value respectively (assuming coupon payments are paid semiannually):
Coupon Rate | Yield | Par Value | Bond Value |
10% | 8% | 1000 | 1197.93 |
10% | 10% | 1000 | 1000.00 |
10% | 12% | 1000 | 849.54 |
So, the higher the yield for a bond, the lower is the present value of the bond.
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