?(Bond valuation?)Calculate the value of a bond that will mature in 15 years and has a ?$1,000 face value. The annual coupon interest rate is 11 ?percent, and the? investor's required rate of return is 12 percent. (Give answer to two decimal points)
Solution:
F = Face value = |
$1,000.00 |
C = Coupon rate = |
11.00% |
R = Yield = Required Rate of return = 12% = |
12.00% |
N = Number of coupon payments till maturity = |
15 |
Formula for bond value = (C x F x ((1-((1+R)^-N)) / R) + (F/(1+R)^N) |
|
Bond Value = (11%*1000*((1-((1+12%)^-15))/12%)+(1000/(1+12%)^15)) |
|
Bond value = |
$931.89 |
Alternate solution using financial calculator:
Using financial calculator BA II Plus - Input details: |
# |
I/Y = Rate or yield = |
12 |
PMT = 11% x FV = |
-110 |
N = |
15 |
FV = |
-1000 |
PV = Value of bond = |
$ 931.89 |
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