You purchase a bond with a coupon rate of 8.6 percent, a par value of $1,000, semiannual coupons, and a clean price of $860. If the next coupon payment is due in three months, what is the invoice price

The answer is $881.5

Explanation:

Solution

Given that:

The accrued interest is refers to the payment (coupon) for the time with the fraction of the time that has exceed since the last coupon payment.

Since we have a semiannual coupon bond, the coupon payment for six months is 1/2 of the annual coupon payment.

Three months has exceeded since the last coupon payment.

So the accrued interest for the bond is given below:

Accrued Interest = $86/2 * 3/6

= $21.5

Thus

The price (dirty) = Clean Price + Accrued Interest

= $860 + $21.5

= $881.5

Therefore the invoice price is $881.5