Answer:
9.25 years
Explanation:
Price of the bond is the present value of all cash flows of the bond. These cash flows include the coupon payment and the maturity payment of the bond. Price of the bond is calculated by following formula:
According to given data
Assuming the Face value of the bond is $1,000
Coupon payment = C = $1,000 x 6.3 = $63 annually = $31.5 semiannually
Current Yield = r = 8.49% / 2 = 4.245% semiannually
Market value = $767.50
Market Value of the Bond = $31.5 x [ ( 1 - ( 1 + 4.425% )^-n ) / 4.425% ] + [ $1,000 / ( 1 + 4.425% )^n ]
Market Value of the Bond = $31.5 x [ ( 1 - ( 1 + 4.425% )^-n ) / 4.425% ] + [ $1,000 / ( 1 + 4.425% )^n ]
n = 18.53 / 2
n = 9.25 years
Answer:
27.85years
Explanation:
Nper = ? (indicates the period)
PV = 767.50 (indicates the price)
FV = 1000 (indicates the face value)
Rate = 8.49%/2 (indicates semi-annual YTM)
PMT = 1000 x 6.30% x 1/2 = 31.50 (indicates the amount of interest payment)
Period = Nper(Rate,PMT,PV,FV)/2 = Nper(8.49%/2,31.50,-767.50,1000)/2 = 27.85 Years
