Answered step by step
Verified Expert Solution
Link Copied!

Question

...
1 Approved Answer

An insurance firm needs to make a payment of $10000 in 3 years, the market interest rate to discount this obligation is 1%. The insurance

  1. An insurance firm needs to make a payment of $10000 in 3 years, the market interest rate to discount this obligation is 1%. The insurance firm funds this obligation with a 4-year zero-coupon bond and a 2-year coupon bond with a coupon rate of 10% (The coupon payments are made annually). Both bonds have a face value of $1000 and a yield of 1%.
    1. What is the price of the 2-year coupon bond?
    2. What is the duration of the 2-year coupon bond?
    3. What is the portfolio weight on the 2-year coupon bond to immunize the insurance firms obligation?
    4. How much money should the firm invest in the 2-year coupon bond?

Assume one year has passed, the firm needs to rebalance its portfolio to make sure its obligation is still immunized. Assume the market interest rate and the yields do not change.

  1. What is the duration of the 2-year coupon bond?
  2. What is the portfolio weight on the 2-year coupon bond to immunize the insurance firms obligation?
  3. How much money should the firm invest in the 2-year coupon bond?

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access with AI-Powered 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

Auditing

Authors: Alan Millichamp, John Taylor

12th Edition

9781473778993

Students also viewed these Finance questions