Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Suppose you want to compare the price sensitivity of two 10-year bonds. Bond A Has a par value of $1,000. Has a coupon rate of

Suppose you want to compare the price sensitivity of two 10-year bonds.

Bond A
Has a par value of $1,000.
Has a coupon rate of 5 percent with coupon payments made annually.
The initial required rate of return, k, is 8 percent.
Bond B
Has a par value of $1,000.
Has a coupon rate of 10 percent with coupon payments made annually.
The initial required rate of return, k, is 8 percent.

Suppose the federal government announces that it will be running a smaller budget deficit than it anticipated, which results in an investors required rate of return on a bond to decrease to 6%.

Using this information, fill in the values for the percentage change in bond price, percentage change in k, and bond price elasticity for each bond in the table.

Bonds: Initial Price of Bonds when k=8%=8% Price of Bonds when k=6%=6% Percentage Change in Bond Price Percentage Change in k Bond Price Elasticity (Pbe)()
Bond A $798.70 $926.40
Bond B $1,134.20 $1,294.40

Now suppose that instead the federal government announces that it will be running a larger budget deficit than it anticipated, which results in an investors required rate of return on a bond to increase to 12%.

Using this information, fill in the values for the percentage change in bond price, percentage change in k, and bond price elasticity for each bond in the table.

Bonds with a Coupon Rate of: Initial Price of Bonds when k=8%=8% Price of Bonds when k=12%=12% Percentage Change in Bond Price Percentage Change in k Bond Price Elasticity (Pbe)()
Bond A $798.70 $604.48
Bond B $1,134.20 $887.00

Based on the calculations, it can be said that the bond price elasticity is in each scenario, which reflects relationship between interest rate movements and bond price movements.

The price elasticity of bond A with a required rate of return of 12 percent can be interpreted as:

A 1 percent increase in interest rates leads to a 0.436 percent decrease in the price of the bond.

A 1 percent increase in interest rates leads to a 0.486 percent increase in the price of the bond.

A 1 percent increase in interest rates leads to a 0.486 percent decrease in the price of the bond.

A 1 percent decrease in interest rates leads to a 0.486 percent decrease in the price of the bond.

Based on the calculations, it can be said that a bond with a high required rate of return is price sensitive than a bond with a low required rate of return.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Earnings Quality

Authors: Andrew P.C.

1st Edition

1521507724, 978-1521507728

More Books

Students also viewed these Finance questions

Question

Identify four applications of HRM to healthcare organizations.

Answered: 1 week ago