Question

have an annual coupon rate of 8 percent and a par value of $1,000 and will mature in 20 years. If you require a 7 percent return, what price would you be willing to pay for a Vanguard bond

Answer 1

Answer:

I will be willing to pay $1,106 for a vanguard bond.

Explanation:

Coupon payment = Par value x Coupon rate

Coupon payment = $1,000 x 8%

Coupon payment = = $80

Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula:

Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Price of the Bond =$80 x [ ( 1 - ( 1 + 7% )^-20 ) / 7% ] + [ $1,000 / ( 1 + 7% )^20 ]

Price of the Bond = $80 x [ ( 1 - ( 1.07 )^-20 ) / 0.07 ] + [ $1,000 / ( 1.07 )^20 ]

Price of the Bond = $848 + $258

Price of the Bond = $1,106