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Multiple Choice
The price of a bond is based on which cash flow(s)?
A
The sum of the bond's face value and coupon rate
B
The present value of all future interest payments and the principal repayment at maturity
C
Only the future interest payments
D
Only the principal repayment at maturity
Verified step by step guidance
1
Understand the concept of bond pricing: A bond's price is determined by the present value of its future cash flows, which include periodic interest payments (coupon payments) and the repayment of the principal (face value) at maturity.
Identify the cash flows involved: Bonds typically have two types of cash flows—(1) periodic coupon payments, which are calculated as the bond's coupon rate multiplied by its face value, and (2) the principal repayment at maturity, which is the face value of the bond.
Apply the concept of present value: To determine the bond's price, each cash flow must be discounted to its present value using the appropriate discount rate, which is often the market interest rate or yield to maturity.
Use the formula for present value: The present value of a future cash flow is calculated using the formula \( PV = \frac{FV}{(1 + r)^n} \), where \( FV \) is the future value (cash flow), \( r \) is the discount rate, and \( n \) is the number of periods until the cash flow occurs.
Sum the present values: Add the present values of all future coupon payments and the principal repayment at maturity to calculate the total price of the bond.