Answer:
The price will increase by $44.67
Explanation:
Price of the bond now
Use following formula to calculate the price of the bond
Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]
Where
F = Face value of the bond = $1,000
C = Coupon payment= $1,000 x 6.60% = $66
n = Number of periods = 15 years
Market Rate = 7.4% annually
( Assumptions:
Face value of the bond is $1,000
Coupon payments ares made annually )
Placing values in the formula
Price of the Bond = $66 x [ ( 1 - ( 1 + 7.4% )^-15 ) / 7.4% ] + [ $1,000 / ( 1 + 7.4% )^15 ]
Price of the Bond = $928.94
Now calculate the price after one year
Where
F = Face value of the bond = $1,000
C = Coupon payment= $1,000 x 6.60% = $66
n = Number of periods = 15 years - 1 = 14 years
Market Rate = 6.9% annually
( Assumptions:
Face value of the bond is $1,000
Coupon payments ares made annually )
Placing values in the formula
Price of the Bond = $66 x [ ( 1 - ( 1 + 6.9% )^-14 ) / 6.9% ] + [ $1,000 / ( 1 + 6.9% )^14 ]
Price of the Bond = $973.61
Change in price = $973.61 - $928.94 = $44.67
