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Bond Premium

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

The equations to calculate premium 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 Premium
Mary buys a $1,000 bond at a 10% coupon rate. If the market interest rate goes down to 8%, for how much can she 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 ´ 0.08
thus,

bond price new= $100/0.08
= $1,250

Mary will sell the bond at a premium and make a profit of $250.

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Tom paid $10,200 for a bond with a face value of $10,000, a coupon rate of 12%, and one year to maturity.  How much money will Tom make?

Estimate the answer:

ans_a.gif (231 bytes) Less than $600
ans_b.gif (220 bytes) Between $600 and $1,100
ans_c.gif (227 bytes) Over $1,100

 
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