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Multiple Choice
Why does a bond's value fluctuate over time?
A
Because the bond issuer can change the face value at any time.
B
Because changes in market interest rates affect the present value of the bond's future cash flows.
C
Because bonds are always redeemed at a premium before maturity.
D
Because the bond's coupon payments increase each year.
Verified step by step guidance
1
Understand the concept of a bond: A bond is a fixed-income security that represents a loan made by an investor to a borrower, typically corporate or governmental. It includes periodic coupon payments and a face value repaid at maturity.
Recognize the relationship between market interest rates and bond values: When market interest rates change, the present value of the bond's future cash flows (coupon payments and face value) is affected. This is because the discount rate used to calculate the present value is tied to the prevailing market interest rates.
Learn the formula for bond valuation: The value of a bond is the sum of the present value of its coupon payments and the present value of its face value at maturity. The formula is: \( P = \sum_{t=1}^{n} \frac{C}{(1 + r)^t} + \frac{F}{(1 + r)^n} \), where \( P \) is the bond price, \( C \) is the coupon payment, \( F \) is the face value, \( r \) is the market interest rate, and \( n \) is the number of periods until maturity.
Understand why bond values fluctuate: If market interest rates increase, the discount rate \( r \) increases, reducing the present value of the bond's future cash flows, and thus the bond's price decreases. Conversely, if market interest rates decrease, the bond's price increases.
Clarify misconceptions: The bond issuer cannot change the face value arbitrarily, coupon payments do not increase each year unless specified in the bond terms, and bonds are not always redeemed at a premium before maturity. The primary reason for bond value fluctuation is the impact of market interest rates on the present value of future cash flows.