The bond has a coupon rate of 6.83 percent, it makes semiannual payments, and there are 4 months to the next coupon payment. A clean price of $1,049 and the par value is $1,000. What is the invoice price

The invoice price for the bond is $1,060.38

Explanation:

Given the following:

PV = Par value = $1,000,

CV = Clean Price = $1,049

Coupon Rate per annum = 6.83%

To calculate the Semiannual Coupon Rate = Coupon Rate per annum/2 = 3.415%

To calculate Semiannual Coupon = Semiannual Coupon Rate*PV

= 3.415% * $1,000 = $34.15

With an interest accured over 2 months, we calculate it thus:

Accrued Interest = $34.15 * 2/6 = $11.38

To calculate Invoice price:

Invoice Price = CP + Accrued Interest

Invoice Price = $1,049.00 + $11.38

Invoice Price = $1,060.38