Math Problem Statement
Abner Corporation's bonds mature in 16 years and pay 12 percent interest annually. If you purchase the bonds for $700, what is your yield to maturity?Your yield to maturity on the Abner bonds is
enter your response here%. (Round to two decimal places.)
Solution
To calculate the yield to maturity (YTM) of a bond, we can use the following formula for YTM:
Where:
- = Annual coupon payment = (face value)
- = Face value of the bond (typically assumed to be $1000 for U.S. bonds if not specified)
- = Price of the bond (the amount you purchased the bond for, $700)
- = Number of years to maturity (16 years)
First, let's break it down:
Now, I'll plug these values into the formula to compute the YTM.The yield to maturity (YTM) on the Abner Corporation bonds is approximately 16.32%.
Would you like more details or have any questions?
Here are 5 related questions to deepen your understanding:
- How does the bond's price affect its yield to maturity?
- What is the relationship between bond prices and interest rates in the market?
- Can you calculate the current yield of this bond, and how does it differ from YTM?
- How does YTM change if the bond price increases or decreases?
- What are the risks associated with buying bonds at a discount?
Tip: Remember, YTM assumes the bond is held until maturity and that all interest payments are reinvested at the same rate.
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Math Problem Analysis
Mathematical Concepts
Finance
Bond Valuation
Yield to Maturity
Formulas
YTM = (C + (F - P) / n) / ((F + P) / 2)
Theorems
Yield to Maturity Formula
Suitable Grade Level
Undergraduate Finance
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