I have a couple Yield to Maturity practice questions I'm working on out of my textbook. Any help appreciated!
a.) Suppose that a bond has one year to maturity. What is the yield to maturity on the bond if it was bought for $1080 and has a $1300 face value with a coupon rate of 9%?
b.) Consider a coupon bond with a face value of $1500, one year to maturity, and a coupon rate of 6%. With a yield to maturity of 5%, what price will the bond sell for?
c.) If a coupon bond has two years to maturity, a coupon rate of 10%, a par value of $900, and a yield to maturity of 14%. What price will the coupon bond sell for?
Yield to maturity is defined as the effective yield of a bond based on its current price in the market. It is the best measure of the return rate. It can be calculated as -
where
C = annual coupon payment (in dollars, not a percent = coupon rate * face value
n = number of years to maturity
r = YTM
P = price of the bond
F= face value of the bomd
a)
n = 1
P = 1080
F = 1300
C = 0.09* 1300 = 117 (Assuming annual coupon rate of 9%)
Therefore
b)
n = 1
P = ?
F = 1500
C = 0.06* 1500 = 90 (Assuming annual coupon rate of 6%)
r = 5% = 0.05
Therefore
c)
Par value = face value = F = 900
n = 2
r = 14% = 0.14
C = 10% of 900 = 0.1*900 = 90
Therefore
I have a couple Yield to Maturity practice questions I'm working on out of my textbook....
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