Answer:
Price of the bond is $940.
Step-by-step explanation:
Price of bond is the present value of future cash flows. This Includes the present value of coupon payment and cash flow on maturity of the bond.
As per Given Data
As the payment are made semiannually, so all value are calculated on semiannual basis.
Coupon payment = 1000 x 11% = $110 annually = $55 semiannually
Number of Payments = n = 11 years x 2 = 22 periods
Yield to maturity = 12% annually = 6% semiannually
To calculate Price of the bond use following formula of Present value of annuity.
Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]
Price of the Bond =$55 x [ ( 1 - ( 1 + 6% )^-22 ) / 6% ] + [ $1,000 / ( 1 + 6% )^22 ]
Price of the Bond = $55 x [ ( 1 - ( 1.06 )^-22 ) / 0.06 ] + [ $1,000 / ( 1.06 )^22 ]
Price of the Bond = $662.29 + $277.5
Price of the Bond = $939.79 = $940