A $50,000, 9.00% bond redeemable at par, with annual coupon payments, is purchased 7 years before maturity to yield 6.00% compounded annually.
a. What was the purchase price of the bond?
Round to the nearest cent
b. What was the amount of discount or premium on the bond?
a. Bond price formula:
Where,
C = Periodic coupon payment,
P = Par value of bond,
r = Yield to maturity
n = No. of periods till maturity
C = 50,000 * 9% = $4,500
Substituting the values in the formula, we get:
b. The bond is selling above its par value, that means the bond is selling at a premium.
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