An insurance company has liabilities of £7 million due in 10 years' time and £9 million due in 17 years' time. The assets of the company consist of two zero-coupon bonds, one paying £X million in 7 years' time and the other paying £Y million in 20 years' time. The current interest rate is 6% per annum effective. Find the nominal value of X (i.e. the amount, IN MILLIONS, that bond X pays in 7 year's time) such that the first two conditions for Redington's theory of immunisation are satisfied. Express your answer to THREE DECIMAL PLACES.
An insurance company has liabilities of £7 million due in 10 years' time and £9 million due in 17 years' time. The assets of the company consist of two zero-coupon bonds, one paying £X million in 7 years' time and the other paying £Y million in 20 years' time. The current interest rate is 6% per annum effective. Find the nominal value of X (i.e. the amount, IN MILLIONS, that bond X pays in 7 year's time) such that the first two conditions for Redington's theory of immunisation are satisfied. Express your answer to THREE DECIMAL PLACES.
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 9P
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Transcribed Image Text:An insurance company has liabilities of £7 million due in 10 years' time and
£9 million due in 17 years' time.
The assets of the company consist of two zero-coupon bonds, one paying
£X million in 7 years' time and the other paying £Y million in 20 years' time.
The current interest rate is 6% per annum effective.
Find the nominal value of X (i.e. the amount, IN MILLIONS, that bond X pays
in 7 year's time) such that the first two conditions for Redington's theory of
immunisation are satisfied.
Express your answer to THREE DECIMAL PLACES.
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