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Multiple Choice
Which of the following best explains the current value of a bond?
A
The original issue price of the bond.
B
The face value of the bond as stated on the certificate.
C
The present value of all future cash flows (interest and principal) discounted at the market rate of interest.
D
The sum of all future interest payments to be received from the bond.
Verified step by step guidance
1
Understand the concept of bond valuation: A bond's current value is determined by the present value of all future cash flows (interest and principal) that the bondholder will receive, discounted at the market rate of interest.
Identify the cash flows associated with the bond: These include periodic interest payments (coupon payments) and the principal repayment at maturity.
Apply the present value formula for each cash flow: The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value (cash flow), r is the market rate of interest, and n is the number of periods until the cash flow is received.
Calculate the present value of the interest payments: Sum the present values of all periodic coupon payments by applying the formula to each payment individually.
Calculate the present value of the principal repayment: Discount the face value of the bond (principal) to its present value using the same formula, and then add this to the total present value of the interest payments to determine the bond's current value.