Answer: The current price of the bond is $258.74
Explanation:
The present value of the bond is its Current Price
We would use the following formua to calculate the Current Price of the bond,
PV = [tex]\frac{FV}{(1+r)^{N} }[/tex] + A [tex][\frac{1-\frac{1}{(1+r)^{N} } }{r} ][/tex]
Where,
FV = Face value = $1,000
A = Coupon payment paid semi annually = (8% x 1000) / 2 = $40
r = Yield to Maturity = 16%
N = Number of periods = 15 years x 2 = 30 semi-annual periods
PV = [tex]\frac{1000}{(1+0.16)^{30} }[/tex] + 40 [tex][\frac{1-\frac{1}{(1+0.16)^{30} } }{0.16} ][/tex]
PV = 258.73618