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.Bond A is a discount bond.B.Both bonds are discount bonds.C.The yield of Bond B is less than 10%.D.The yield of Bond B is greater than 5%.
Question
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.Bond A is a discount bond.B.Both bonds are discount bonds.C.The yield of Bond B is less than 10%.D.The yield of Bond B is greater than 5%.
Solution
To determine which statement is the most inappropriate, we need to understand the relationship between coupon rate, yield, and bond price.
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Bond A has a coupon rate of 10% and a yield of 13%. This means that the yield is higher than the coupon rate, which indicates that Bond A is selling at a discount (below its face value). So, statement A is appropriate.
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Bond B has a coupon rate of 5% and sells for the same price as Bond A. Since Bond A is a discount bond, Bond B must also be a discount bond because it sells for the same price. So, statement B is appropriate.
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The yield of a bond is determined by its price, coupon rate, and maturity. If Bond B sells at a discount (like Bond A), its yield must be higher than its coupon rate. So, statement D that the yield of Bond B is greater than 5% is appropriate.
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However, we cannot definitively say that the yield of Bond B is less than 10% just because it has a lower coupon rate than Bond A. The yield depends on the price of the bond, which is the same for both bonds, and the coupon rate, which is lower for Bond B. But without knowing the exact price and maturity, we cannot determine the yield. So, statement C is the most inappropriate because it makes an assumption that may not be correct.
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