2. An insurance company uses the model above to calculate premiums for a special T-year term life insurance policy. The basic sum insured is $100,000, but the death benefit is $150,000 if death occurs as a result of an accident. The death benefit is payable immediately on death. Premi- ums are payable continuously throughout the term. The effective rate of interest is 3% per year and there are no expenses. The policy is issued to a life aged 35. 毎回 (ii) (iii) calculate the annual premium for this policy calculate the policy value at time 1, 2, 1-2, 1-1 and t in state Q comment on the results in (ii)

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. An insurance company uses the model above to calculate premiums for
a special T-year term life insurance policy. The basic sum insured is
$100,000, but the death benefit is $150,000 if death occurs as a result of
an accident. The death benefit is payable immediately on death. Premi-
ums are payable continuously throughout the term. The effective rate of
interest is 3% per year and there are no expenses. The policy is issued to
a life aged 35.
毎回
(ii)
(iii)
calculate the annual premium for this policy
calculate the policy value at time 1, 2, 1-2, 1-1 and t in state Q
comment on the results in (ii)
Transcribed Image Text:2. An insurance company uses the model above to calculate premiums for a special T-year term life insurance policy. The basic sum insured is $100,000, but the death benefit is $150,000 if death occurs as a result of an accident. The death benefit is payable immediately on death. Premi- ums are payable continuously throughout the term. The effective rate of interest is 3% per year and there are no expenses. The policy is issued to a life aged 35. 毎回 (ii) (iii) calculate the annual premium for this policy calculate the policy value at time 1, 2, 1-2, 1-1 and t in state Q comment on the results in (ii)
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