Answer :
Final answer:
The terminal value at the call date for the callable bonds is $1,100.
Explanation:
To calculate the terminal value at the call date, we need to determine the call price, which is 110 percent of the par value. The par value of each bond is $1,000, so the call price would be $1,000 * 110% = $1,100.
If the bonds are called at the end of 5 years, investors would receive $1,100 for each bond. This would be the terminal value at the call date.
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The bond Valuation is the present value of its future cash flows, including annual coupon payments and the face or call value at maturity. The bond price can change depending on whether investors expect the bonds to be called. The terminal value at the call date is 110% of the par value. So, the correct option is $1100.
The bond value, or price, is determined by the present value of its future cash flows, which are the annual coupon payments and the face value or call value at maturity. In this case, the annual coupon payment is 11% of the $1000 par value, or $110. The discount rate is the rate required by investors, which is 13%.
The formula for the present value of an annuity (PV) is used to calculate the present value of the coupon payments:[tex]PV = PMT * [1 - (1 + r)^ -n] / r[/tex] , where PMT is the annual payment, r is the discount rate, and n is the number of periods. The face value at maturity or call value is discounted using the formula: [tex]FV / (1 + r)^ n.[/tex]
Therefore, if investors do not expect the bonds to be called, the bond price is calculated using a 10-year maturity: Bond price = PV of coupon payments + PV of face value at maturity. The correct option is $1100.
If investors expect the bonds to be called, the bond price is calculated using a 5-year maturity and the call value: Bond price = PV of coupon payments + PV of call value. According to the call features, the terminal value at the call date is 110% of par, or $1100.
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