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Bond Discount

You can make money and lose money in bonds if the market interest rate changes.  The bond price will go down if the market interest rate goes up. The bond will sell at a discount.

The equations to calculate discount is as follows:

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Bond payment = (face value) ´ (coupon rate)

Bond payment fixed = (bond price new) ´ (interest rate new)

example.gif (1751 bytes)Bond Discount
John buys a $1,000 bond at a 10% coupon rate. If the market interest rate goes up to 12.5% for how much can he sell the bond?

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Bond payment = 1,000 ´ 0.1 = $100

Bond payment fixed
= (bond price new) ´ (interest rate new)

$100 = bond price new * 0.125
thus,
bond price new = $100/0.125
= $800

John will sell the bond at a discount and lose $200.

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Pat paid $900 for a bond with a face value of $1,000, a 5% coupon rate, and a maturity of one year. What is the rate of return of Pat's investment?

Estimate the answer:

ans_a.gif (231 bytes) Less than 5%
ans_b.gif (220 bytes) Between 5% and 10%
ans_c.gif (227 bytes) Over 10%

 
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