Question

An insurance company must make payments to a customer of $8 million in one year and...

An insurance company must make payments to a customer of $8 million in one year and $4 million in four years. The yield curve is flat at 9%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.) b. What must be the face value and market value of that zero-coupon bond?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Additional Question 2: An insurance company must make payments to a customer of $10 million in...
Additional Question 2: An insurance company must make payments to a customer of $10 million in one year and $4 million in five years. The yield curve is flat at 10%. Use annual compounding. a) If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? b) What must be the face value and market value of that zero-coupon bond
SHOW ALL WORK PLEASE QUESTION: An insurance company must make payments to a customer of $10...
SHOW ALL WORK PLEASE QUESTION: An insurance company must make payments to a customer of $10 million in 5 years and $25 million in 30 years. The yield curve is flat at 8%. A) What is the present value of its obligation? B) What is the duration of its obligation? C) If it wants to fully fund and immunize its obligation to this customer by buying a single issue of a zero-coupon bond, what face value the bond must have?...
A corporate pension plan has to make the following payments over the next few years: Year...
A corporate pension plan has to make the following payments over the next few years: Year 1 2 3 4 Amount ($ million) 27 31 37 45 The appropriate interest rate is 7%. What is the present value of the liability (in $ million)? What is the duration of the liability? What is the duration of a perpetuity if the yield is 7%? The fund wants to immunize its interest rate risk by investing in a perpetuity and a 1-year...
. A small insurance company has liabilities of $5 million in 10 years’ time and $6...
. A small insurance company has liabilities of $5 million in 10 years’ time and $6 million in 11 years’ time. The current interest rate is 5.21% per annum effective. The investment manager plans to buy one 5-year zero coupon bond of maturity value $A million and one 15-year zero coupon bond of maturity value $B million. Find the values of A and B that immunize this portfolio.
We have liabilities of $50 million per year for the next 3 years, with payments made...
We have liabilities of $50 million per year for the next 3 years, with payments made at the end of the year. The term structure of interest rates is given by ?1 = ?2 = ?3 = 8%. We want to immunize these liabilities by using a 1-year zero coupon bond with face value of $1 million and a 3-year coupon bond with face value of $0.1 million, coupon rate 5%, and annual coupon payments. Assuming the bonds are correctly...
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension...
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $2.6 million per year to beneficiaries. The yield to maturity on all bonds is 16%. a. If the duration of 5-year maturity bonds with coupon rates of 12% (paid annually) is 4.0 years and the duration of 20-year maturity bonds with coupon rates...
A company must make payments of $10 annually in the form of a 10- year annuity-...
A company must make payments of $10 annually in the form of a 10- year annuity- immediate. It plans to buy two zero coupon bonds to fund these payments. The first bond matures in 2 years and the second bond matures in 9 years, and both are purchased to yield 10% effective. What face amount of each bond should the company buy in order to be immunized from small changes in the interest rate (redington immunization)?
A company must make payments of $10 annually in the form of a 10- year annuity-...
A company must make payments of $10 annually in the form of a 10- year annuity- immediate. It plans to buy two zero coupon bonds to fund these payments. The first bond matures in 2 years and the second bond matures in 9 years, and both are purchased to yield 10% effective. What face amount of each bond should the company buy in order to be immunized from small changes in the interest rate (redington immunization)?
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension...
Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $3.7 million per year to beneficiaries. The yield to maturity on all bonds is 20%. a. If the duration of 5-year maturity bonds with coupon rates of 16% (paid annually) is 3.7 years and the duration of 20-year maturity bonds with coupon rates...
Background: Suppose you will go to graduate school for 3 years beginning in year 5. Tuition...
Background: Suppose you will go to graduate school for 3 years beginning in year 5. Tuition is $25,109 per year, due at the end of each school year. Assume annual compounding. In the above description, if you see a flat yield curve of 0.08 for example, then it means that the yield at all maturities is 8%. Question: Suppose in the question above, the tuition obligations have a Macaulay duration of 6.36 in years, and that you wish to immunize...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT