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.Both bonds are discount bonds.B.The yield of Bond B is less than 10%.C.The yield of Bond B is greater than 5%.D.Bond A is a discount bond.
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.Both bonds are discount bonds.B.The yield of Bond B is less than 10%.C.The yield of Bond B is greater than 5%.D.Bond A is a discount bond.
Solution 1
To determine which statement is the most inappropriate, we need to understand the relationship between bond prices, yields, and coupon rates.
A bond is considered a discount bond when its market price is less than its face value. This typically happens when the yield (the return an investor would get if they bought the bond today and held it until maturity) is higher than the coupon rate (the interest rate stated on the bond when it was issued).
Given that Bond A has a yield of 13% which is higher than its coupon rate of 10%, it is indeed a discount bond. So, statement D is correct.
For Bond B, we know it sells for the same price as Bond A, which is a discount bond. Therefore, Bond B must also be a discount bond because it is selling for less than its face value. So, statement A is correct.
The yield of a bond is determined by its price, coupon rate, and time to maturity. Since Bond B has a lower coupon rate than Bond A but sells for the same price, its yield must be higher than its coupon rate of 5%. So, statement C is correct.
However, we cannot definitively say that the yield of Bond B is less than 10% just based on the information given. The yield depends on the bond's price, coupon rate, and time to maturity. Without knowing the price and time to maturity, we cannot accurately determine the yield. Therefore, statement B is the most inappropriate statement.
Solution 2
A bond is considered a discount bond when it is selling for less than its face value. This typically happens when the yield (the return an investor gets if they hold the bond until maturity) is higher than the coupon rate (the annual interest payment the bondholder receives).
A. Both bonds are discount bonds - This could be true. Bond A is a discount bond because its yield (13%) is higher than its coupon rate (10%). If Bond B sells for the same price as Bond A, it could also be a discount bond if its yield is higher than its coupon rate (5%).
B. The yield of Bond B is less than 10% - This could be true. We don't have enough information to determine the yield of Bond B. However, if Bond B sells for the same price as Bond A, and Bond A is a discount bond, then it's likely that Bond B's yield is also higher than its coupon rate (5%).
C. The yield of Bond B is greater than 5% - This is likely true. If Bond B sells for the same price as Bond A, and Bond A is a discount bond, then it's likely that Bond B's yield is also higher than its coupon rate (5%).
D. Bond A is a discount bond - This is true. Bond A is a discount bond because its yield (13%) is higher than its coupon rate (10%).
Therefore, the most inappropriate statement is B. The yield of Bond B is less than 10%. We don't have enough information to determine the yield of Bond B, but if it sells for the same price as Bond A (a discount bond), then it's likely that Bond B's yield is also higher than its coupon rate (5%), and could possibly be more than 10%.
Solution 3
A bond is considered a discount bond when it is selling for less than its face value. This typically happens when the yield (the return an investor gets if they hold the bond until maturity) is higher than the coupon rate (the annual interest payment the bondholder receives).
A. Both bonds are discount bonds - This could be true. Bond A is a discount bond because its yield (13%) is higher than its coupon rate (10%). If Bond B sells for the same price as Bond A, it could also be a discount bond if its yield is higher than its coupon rate (5%).
B. The yield of Bond B is less than 10% - This could be true. We don't have enough information to determine the yield of Bond B. However, if Bond B sells for the same price as Bond A, and Bond A is a discount bond, then it's likely that Bond B's yield is also higher than its coupon rate (5%).
C. The yield of Bond B is greater than 5% - This is likely true. If Bond B sells for the same price as Bond A, and Bond A is a discount bond, then it's likely that Bond B's yield is also higher than its coupon rate (5%).
D. Bond A is a discount bond - This is true. Bond A is a discount bond because its yield (13%) is higher than its coupon rate (10%).
Therefore, the most inappropriate statement is B. The yield of Bond B is less than 10%. We don't have enough information to determine the yield of Bond B, but if it sells for the same price as Bond A (a discount bond), then it's likely that Bond B's yield is also higher than its coupon rate (5%), and could possibly be more than 10%.
Similar Questions
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