MATH 4/50056 - Homogeneous-Time Markov Chain Example - Actuarial Mathematics II Assignment Help

Assignment Task:

1. A 4-year term life insurance pays a death benefit of 1000n at the end of the year of death if death occurs in year n. In addition, it pays a benefit of 100 at the end of the year of disablement and pays 200 at the beginning of each year the insured is disabled.

(This means the insured gets300 at the beginning of the first full year of disablement,and200at the beginning of each subsequent year if still disabled then.) Premiums of P are payable at the beginning of each year while the insured is active (not disabled). The insurance is modeled as a three-state Markov chain with states (0) active, (1) disabled, and (2) dead.

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