Answer :
The bonds would sell for approximately $348.86 assuming investors do not expect them to be called. The price at which the bonds would sell assuming investors do not expect them to be called can be calculated using the present value formula.
The present value of the bond is the sum of the present value of the coupon payments and the present value of the principal repayment. To calculate the present value of the coupon payments, we need to determine the annual coupon payment and the required rate of return. The annual coupon payment is $1,000 (par value) multiplied by the coupon rate of 11.5 percent, which gives $115.
Using Table II, we find that the present value factor for 16 years and a required rate of return of 15 percent is 0.2864.
Therefore, the present value of the coupon payments is $115 multiplied by 0.2864, which equals $32.96.
Next, we need to calculate the present value of the principal repayment. The principal repayment is the par value of $1,000. Using Table II, we find that the present value factor for 16 years and a required rate of return of 15 percent is 0.3159. Therefore, the present value of the principal repayment is $1,000 multiplied by 0.3159, which equals $315.90.
Finally, we add the present value of the coupon payments and the present value of the principal repayment to find the price at which the bonds would sell assuming investors do not expect them to be called.
$32.96 + $315.90 = $348.86.
Therefore, the bonds would sell for approximately $348.86 assuming investors do not expect them to be called.
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