The price of a coupon bond and the yield to maturity are ________ related; that is, as theyield to maturity ________, the price of the bond ________.A) positively; rises; risesB) negatively; falls; fallsC) positively; rises; fallsD) negatively; rises; falls
Question
The price of a coupon bond and the yield to maturity are ________ related; that is, as theyield to maturity ________, the price of the bond ________.A) positively; rises; risesB) negatively; falls; fallsC) positively; rises; fallsD) negatively; rises; falls
Solution
The correct answer is D) negatively; rises; falls.
Here's why:
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The yield to maturity (YTM) is the total return anticipated on a bond if it is held until it matures. YTM is expressed as an annual percentage rate.
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The price of a bond is based on the present value of its future cash flows, which include periodic interest payments and the principal repayment at maturity.
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When the YTM rises, the present value of the bond's future cash flows falls, leading to a decrease in the bond's price. This is because the discount rate used in the present value calculation is the YTM. When the YTM increases, the discount rate increases, which reduces the present value of the bond's future cash flows.
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Therefore, the price of a coupon bond and the YTM are negatively related. As the YTM rises, the price of the bond falls.
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