Answer:
Coupon rate = 5.8%
Explanation:
The price of a bond is the present value (PV) of the future cash flows discounted at its yield.
So we will need to work back to ascertain the coupon rate
Step 1
<em>Calculate the PV of redemption value and PV of interest payments</em>
<em>PV of Redemption </em>
= 1.067^(-5) × 1000
=723.06
<em>PV of the annual interest rate</em>
= price of the bond - PV of redemption
= $964- 723.06
= 240.934
Step 2
<em>Calculate the interest payment</em>
Interest payment = PV of redemption value / annuity factor
Annuity factor =( 1 -(1+r)^(-n) )/r
<em>Annuity factor at 6.7% for 5 years</em>
Factor =( 1-1.067^(-5) )/0.067
= 4.1333
Interest payment = <em>PV of the annual interest rate</em> / Annuity factor
Interest payment=
=240.93/4.1333
=58.290
Step 3
<em>Calculate the coupon rate</em>
Coupon rate = interest payment/ par value
Coupon rate = (58.290/1000) × 100
= 5.8%
Coupon rate = 5.8%
