Answer:
9.2%
Explanation:
Missing word <em>"Calculate his nominal annual yield rate convertible semiannually over the ten-year period"</em>
Semi annual coupon payments = 9% / 2 = 4.5%
Par value = 4.5% * 1,000 = $45
interest rate per period = r = 7% / 2 = 3.5%
Number of periods, n = 2 x 10 = 20
FV of all the coupons reinvested = 45 / r * [(1 + r)^n - 1]
FV of all the coupons reinvested = 45 / 3.5% * [(1 + 3.5%)^20 - 1]
FV of all the coupons reinvested = $1,272.59
Receipt of par value at the end of the 10 years = par value = 1,000
Total accumulated value at the end of 10 years = $1,272.59 + 1,000
Total accumulated value at the end of 10 years = $2,272.59
Invested amount = $925
i = nominal interest convertible semi annually.
$925 * (1 + i / 2)^n = 2,272.59
925 * (1 + i / 2)^20 = 2,272.59
i = 2 * [(2,272.59 / 925)^1/20 - 1]
I = 9.19%
I = 9.2%
So, his nominal annual yield rate convertible semiannually over the ten-year period is 9.2%
