Question

The bond, which has a $1,000 face value and a coupon rate equal to 10 percent, matures in six years. Interest is paid every six months; the next interest payment is scheduled for six months from today. Assuming the yield on similar risk investments is 14 percent, calculate the current market value (price) of the bond.

Answer 1

Market value of bond = 841.14

Step-by-step explanation:

Explanation:

The value of the bond is the present value(PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV) discounted at the yield rate.

Value of Bond = PV of interest + PV of RV

The value of bond can be worked out as follows:

Step 1

Calculate the PV of interest payments

Semi annual interest payment

= 10% × 1,000× 1/2 = 50

PV of interest payment

A ×(1- (1+r)^(-n))/r

r- semi-annual yield = 14%/2 = 7%

n- 6× 2 = 12

= 50× (1-(1.07^(-12)/0.07

= 397.13

Step 2

PV of redemption Value

PV = $1000 × (1.07)^(-12)

= 444.011

Step 3

Price of bond

= 397.13 +444.01

=841.14

Market value of bond = 841.14