Question: I am having trouble determining these values on a practice problem. Help would be greatly appreciated. Thank you!! Understanding what maturity risk means for bonds

I am having trouble determining these values on a practice problem. Help would be greatly appreciated. Thank you!!

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. For example, in the table if interest rates go up 1% on the short term bond, that means that the YTM would go from 4% to 5%. Then calculate the new price at a YTM of 5% 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 an annual coupon rate of 4% with semi-annual payments, and a maturity in 2 years. Assume that today's YTM on a 2 year bond is 4% so therefore today's price is $1,000.

Long term bond: Face value of $1,000 with an annual coupon rate of 5% with semi-annual payments, and a maturity in 30 years. Assume that today's YTM on a 30 year bond is 5% so therefore today's price is $1,000.

Interest Rates go down by 2%

Interest Rates go down by 1%

Today's Price

Interest Rates go up by 1%

Interest Rates go up by 2%

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

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