Answer:
Ans. The price of the bond immediately after it makes its first coupon payment is $1,068.02
Explanation:
Hi, we have to bring to present value the remaining cash flows, that is 9 coupons and its face value, so we need to use the following equation.
[tex]Price=\frac{Coupon((1+YTM)^{n}-1) }{YTM(1+YTM)^{n} } +\frac{FaceValue}{(1+YTM)^{n} }[/tex]
Where:
Coupon = 0.07*$1,000=$70
YTM = Yield to maturity, in our case 6% or 0.06
n = 9 (since the bond is paying every year and there are 9 years left until maturity)
Face Value= $1,000.
Everything should look like this
[tex]Price=\frac{70((1+0.06)^{9}-1) }{0.06(1+0.06)^{9} } +\frac{1,000}{(1+0.06)^{9} }[/tex]
Therefore:
[tex]Price=476.12+591.90=1,068.02[/tex]
So, the price of this bond right after paying its first coupon is $1,068.02
Best of luck.
