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A life is subject to a constant force of mortality of 0.15. The force of interest is a constant 0.10. An insurance contract on this life provides for a death benefit of e.05t for death at time t, with level premiums payable continuously for life.

(a) Find tV.

(b) Write down Thiele's differential equation for the reserve, and verify that your answer to (a) satisfies this equation.

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