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A 20-year, $1,000 par value bond has a 7% annual payment coupon. The bond currently sells for $840. If the yield to maturity
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Answer #1

First, let's find the yield to maturity.

N = 20

Coupon payment = 1,000 * 0.07 = 70

PMT = 70

PV = -840

FV = 1,000

CPT I/Y

I/Y = 8.7176134781

The price after 10 years is equal to the present value of the remaining coupon payments.

n = 10

cpn = 70

FV = 1,000

r = 0.087176134781

FV Price = cpn cpn Price = - 1- (1 + r) + (1+r)

1,000 Price = 0.087176134781* | - ( + 0.087176134781)w] + ( + 0.087176134781)in

Price = 802.972053944 * 0.5664882271 + 433.5117729219

Price = $888.3859881715

Answer: 888.39

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