Answers
a). Bond's Market Value = PV of Coupon Payment + PV of Maturity Value
= [Periodic Coupon Payment * {(1 - (1 + r)^-n) / r}] + [Face Value / (1 + r)^n]
= [{(11%/2)*$1,000} * {(1 - (1 + 0.105/2)^-(17*2)) / (0.105/2)}] + [$1,000 / {1 + (0.105/2)}^(17*2)]
= [$55 * {0.8244 / 0.0525}] + [$1,000 / 5.6958]
= [$55 * 15.7034] + $175.57
= $863.69 + $175.57 = $1,039.26
b). Bond's Market Value = PV of Coupon Payment + PV of Maturity Value
= [Periodic Coupon Payment * {(1 - (1 + r)^-n) / r}] + [Face Value / (1 + r)^n]
= [{(11%/2)*$1,000} * {(1 - (1 + 0.115/2)^-(17*2)) / (0.115/2)}] + [$1,000 / {1 + (0.115/2)}^(17*2)]
= [$55 * {0.8506 / 0.0575}] + [$1,000 / 6.6916]
= [$55 * 14.7923] + $149.44
= $813.58 + $149.44 = $963.02
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