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Multiple Choice
For a bond issue that sells for more than the bond face amount, the effective interest rate is:
A
less than the stated interest rate
B
greater than the stated interest rate
C
equal to the stated interest rate
D
unrelated to the stated interest rate
Verified step by step guidance
1
Understand the concept of bond pricing: Bonds can be issued at a premium (above face value), at par (equal to face value), or at a discount (below face value). The price at which a bond is sold depends on the relationship between the stated interest rate (coupon rate) and the effective interest rate (market rate).
Recognize the relationship between bond price and interest rates: When a bond sells for more than its face amount (premium), it indicates that the stated interest rate is higher than the effective interest rate. Investors are willing to pay more because the bond offers a higher return than the prevailing market rate.
Define the effective interest rate: The effective interest rate is the rate of return required by investors in the market. It reflects the current market conditions and is used to discount the bond's future cash flows to determine its present value.
Compare the stated interest rate and effective interest rate: For a bond issued at a premium, the effective interest rate is less than the stated interest rate because the bond's coupon payments are more attractive than what the market offers.
Conclude the relationship: Based on the above analysis, the effective interest rate for a bond issued at a premium is less than the stated interest rate. This is a key principle in bond valuation and pricing.