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Bond A has 5 years maturity with  7 percent coupon rate, Bond B also has 5 years maturity but the coupon rate is 10 percent.  Both bonds are exposed to the same market interest rates, hence the same required rate of returns.  If the market interest rates of both bonds decrease by the same amount, which of the following statements is most correct?Group of answer choicesBoth bonds will increase in price, Bond A  will have a greater percentage increase in price than Bond B.Both bonds will increase  in price, Bond B will have a greater percentage increase in price than Bond A.The prices of both bonds will increase by the same amount.Both bonds will decline in price, Bond A will have a greater percentage decline in price than Bond B.

Question

Bond A has 5 years maturity with  7 percent coupon rate, Bond B also has 5 years maturity but the coupon rate is 10 percent.  Both bonds are exposed to the same market interest rates, hence the same required rate of returns.  If the market interest rates of both bonds decrease by the same amount, which of the following statements is most correct?Group of answer choicesBoth bonds will increase in price, Bond A  will have a greater percentage increase in price than Bond B.Both bonds will increase  in price, Bond B will have a greater percentage increase in price than Bond A.The prices of both bonds will increase by the same amount.Both bonds will decline in price, Bond A will have a greater percentage decline in price than Bond B.

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Solution

When market interest rates decrease, bond prices increase. This is because the fixed coupon payments of the bond become more attractive compared to the lower interest rates available in the market.

However, the percentage increase in price is greater for bonds with lower coupon rates. This is because the present value of the future cash flows (which are the coupon payments and the face value of the bond) increases more when the discount rate (the market interest rate) decreases.

Therefore, both bonds will increase in price, but Bond A (which has a lower coupon rate of 7 percent) will have a greater percentage increase in price than Bond B (which has a higher coupon rate of 10 percent).

So, the correct answer is: "Both bonds will increase in price, Bond A will have a greater percentage increase in price than Bond B."

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Similar Questions

Bond A has a coupon rate of 10% and a yield of 13%. Bond B has coupon rate of 5% and sells for the same price as Bond A. Both bonds have the same face value and maturity. From this, which of the followings is the most inappropriate statement?A.The yield of Bond B is greater than 5%.B.Bond A is a discount bond.C.Both bonds are discount bonds.D.The yield of Bond B is less than 10%.

If the stated rate of a bond is higher than the market interest rate:Group of answer choicesThe stated rate will increaseThe bond will trade at a discountThe bond will be priced above the face valueThe coupon payment will increase

Bond A is currently selling at par and has a yield of 5%. Bond B has the same coupon rate as A but is selling at a premium. Given this information, which of the following statements is correct.  Bond B's coupon rate is below 5%.  Bond B's coupon rate is above 5%.  Bond B's yield is below 5%.  Bond B's yield is above 5%.

If two bonds have the same coupon rate and par value, but one has a longer maturity, which bond is likely to have a higher price?  A. The bond with the longer maturity  B. The bond with the shorter maturity  C. Both bonds will have the same price  D. Cannot be determined

Which of the following statements about the relationship between interest rates and bond prices is true?Group of answer choicesThere is an inverse relationship between bond prices and interest rates, and the price of long-term bonds fluctuates more than the price of short-term bonds for a given change in interest rates (assuming that the coupon rate is the same for both).There is a direct relationship between bond prices and interest rates, and the price of long-term bonds fluctuates more than the price of short-term bonds for a given change in interest rates (assuming that the coupon rate is the same for both).There is an inverse relationship between bond prices and interest rates, and the price of short-term bonds fluctuates more than the price of long-term bonds for a given change in interest rates (assuming that the coupon rate is the same for both).There is a direct relationship between bond prices and interest rates, and the price of short-term bonds fluctuates more than the price of long-term bonds for a given change in interest rates (assuming that the coupon rate is the same for both).

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