An insurance company has liabilities of £15 million due in 11 years' time and £6 million due in 15 years' time. The assets of the company consist of two zero-coupon bonds, one paying  million in 7 years' time and the other paying  million in 19 years' time. The current interest rate is 7% per annum effective. Find the nominal value of Y (i.e. the amount, IN MILLIONS, that bond Y pays in 19 year's time) such that the first two conditions for Redington’s theory of immunisation are satisfied. Express your answer to THREE DECIMAL PLACES.

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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An insurance company has liabilities of £15 million due in 11 years' time and £6 million due in 15 years' time.

The assets of the company consist of two zero-coupon bonds, one paying  million in 7 years' time and the other paying  million in 19 years' time.

The current interest rate is 7% per annum effective.

Find the nominal value of Y (i.e. the amount, IN MILLIONS, that bond Y pays in 19 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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