Answer:
Price of bond=$1,753.96
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).
Value of Bond = PV of interest + PV of RV
The value of bond for Gugenheim, Inc can be worked out as follows:
Step 1
Calculate the PV of interest payments
Annual interest payment
= 6.5%% × 2000 = 130
PV of interest payment
PV = A× (1- 1+r)^(-n)
A- 130, r- 7.7, n- 21
= 130 × (1-(1.077)^(-21)/0.077) = 1,332.743
Step 2
PV of redemption Value
PV = RV × (1+r)^(-n)
RV - 2000, r- 7.7%, n- 21
PV = 2000 × (1.077)^(-21) = 421.2115063
Step 3
Price of bond
= 1,332.743 + 421.211
=$1753.955
Price of bond=$1,753.96
