Find out the present value, Basic Statistics

The present value (price) formula for a coupon bond is:

PV = C/(1+i) + C/(1+i)2 + ... + C/(1+i)n + F/(1+i)n

Part a

The present value (price) formula for a zero coupon bond is:

 PV = F/(1+i)n

Plugging in the given information,

 Price = $1000/(1+0.1)15 = $239.39

Thus the price of the fifteen-yr zero coupon bond is $239.39.

Part b

Semiannual coupon = 6%*$500/2 = $15

Plugging in the given information,

Price = $15/(1+(0.1/2)) + $15/(1+(0.1/2))2 +..... + $15/(1+(0.1/2)6 + $500/(1+(0.1/2)6 = $449.24

Thus the price of the three-yr semiannual 6% coupon bond is $449.24.

Posted Date: 3/5/2013 8:00:15 AM | Location : United States

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