Question
Understanding what maturity risk means for bonds is very important. Complete the following table by calculating the new bond prices and then the % price
Understanding what maturity risk means for bonds is very important. Complete the following table by calculating the new bond prices and then the % price change that results for the two bonds given below. For example, in the table if YTMs go up 1 percentage point (also known as 100 basis points or bp) on the short-term bond, that means that the YTM would go from 3% to 4%. Then calculate the new price at a YTM of 4% and then calculate the % change in price from today's price of $1,000 to the new price.
Short term bond: Face value of $1,000 with a fixed annual coupon rate of 3% with semi-annual payments, and a maturity in 2 years. Assume that today's YTM on a 2 year bond is 3% so therefore today's price is $1,000.
Long term bond: Face value of $1,000 with a fixed annual coupon rate of 3% with semi-annual payments, and a maturity in 30 years. Assume that today's YTM on a 30 year bond is 3% so therefore today's price is $1,000.
| YTM goes down by 1.0% (100 basis pts) | YTM goes down by 0.5% (50 basis pts) | Today's Price | YTM goes up by 0.5% (50 basis pts) | YTM goes up by 1.0% (100 basis pts) | ||||
| New $ Price | % change from Today | New $ Price | % change from Today |
| New $ Price | % change from Today | New $ Price | % change from Today |
Short Term Bond |
|
|
|
| $1,000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Long Term Bond |
|
|
|
| $1,000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started