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An investor holds a bond with a face value of $5 000, a coupon rate of 4%, and semi-annual payments that matures on 15/01/2012. How much will the investor receive on 15/01/2012?

Question

An investor holds a bond with a face value of $5 000, a coupon rate of 4%, and semi-annual payments that matures on 15/01/2012. How much will the investor receive on 15/01/2012?

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Solution

The investor will receive the face value of the bond plus the last coupon payment on the maturity date.

Here's how to calculate it:

  1. First, calculate the semi-annual coupon payment. The coupon rate is 4%, but since payments are made semi-annually, we divide this by 2. So, the semi-annual coupon rate is 2%.

  2. Next, calculate the amount of each coupon payment. This is done by multiplying the face value of the bond (5,000)bythesemiannualcouponrate(25,000) by the semi-annual coupon rate (2%). So, each coupon payment is 5,000 * 2/100 = $100.

  3. On the maturity date (15/01/2012), the investor will receive the face value of the bond (5,000)plusthelastcouponpayment(5,000) plus the last coupon payment (100).

So, the investor will receive 5,000+5,000 + 100 = $5,100 on 15/01/2012.

This problem has been solved

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