Answer a.
If current market price is $845:
Face Value = $1,000
Current Price = $845
Annual Coupon Rate = 9%
Annual Coupon = 9% * $1,000
Annual Coupon = $90
Time to Maturity = 4 years
Let annual YTM be i%
$845 = $90 * PVIFA(i%, 4) + $1,000 * PVIF(i%, 4)
Using financial calculator:
N = 4
PV = -845
PMT = 90
FV = 1000
I = 14.36%
Annual YTM = 14.36%
If current market price is $1,081:
Face Value = $1,000
Current Price = $1,081
Annual Coupon = $90
Time to Maturity = 4 years
Let annual YTM be i%
$1,081 = $90 * PVIFA(i%, 4) + $1,000 * PVIF(i%, 4)
Using financial calculator:
N = 4
PV = -1,081
PMT = 90
FV = 1000
I = 6.63%
Annual YTM = 6.63%
Answer b.
You would buy the bond as long as the yield to maturity at this price is greater than your required rate of return.
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