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A disability insurance policy provides for payments at the moment of disability should this occur within 10 years. The amount of the benefit at time t is e0.10t. The policy is purchased by level annual premiums payable continuously for 10 years until either death or disability occurs. Nothing is paid on this policy if the insured dies before becoming disabled. If the force of disability is a constant 0.03, the force of mortality is a constant 0.06, and the force of interest is a constant 0.05, find the annual rate of premium payment.

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