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Multiple Choice
If a company issues a 4-year bond with a 6% annual coupon rate and makes coupon payments quarterly, what will be the amount of each coupon payment for a bond with a face value of $1,000?
A
$150
B
$60
C
$15
D
$6
Verified step by step guidance
1
Step 1: Understand the problem. The bond has a face value of $1,000, a 6% annual coupon rate, and coupon payments are made quarterly. The goal is to calculate the amount of each coupon payment.
Step 2: Determine the annual coupon payment using the formula: Annual Coupon Payment = Face Value × Annual Coupon Rate. In MathML:
Step 3: Since the bond pays coupons quarterly, divide the annual coupon payment by 4 to find the quarterly coupon payment. In MathML:
Step 4: Substitute the values into the formulas. Use the face value of $1,000 and the annual coupon rate of 6% (0.06 in decimal form) to calculate the annual coupon payment, then divide by 4 to find the quarterly payment.
Step 5: Verify the calculation by ensuring the quarterly coupon payment is consistent with the annual coupon rate and the bond's terms. This ensures the result aligns with the bond's structure and payment schedule.