Sample Project Summary PURPOSE This project finds the profit margin for a 20 -year unit linked assurance policy with guaranteed benefits for death and survival, issued to a 40 year old life by a particular life office. SUMMARY DATA We have been given the following policy details; Level premiums of 750 are payable yearly in advance throughout the term of the policy or until earlier death. In the first policy year, 25% of the premium is allocated to units and 101% in the second and subsequent years. The units are subject to a bid-offer spread of 5% and an annual management charge of 1.5% of the bid value of units is deducted at the end of each policy year. If the policyholder dies during the term of the policy, the death benefit of 10,000 or the bid value of the units, whichever is higher, is payable at the end of the policy year of death. The policyholder may surrender the policy only at the end of each policy year. On surrender, the bid value of the units is payable at the end of the policy year of exit. On maturity, 105\% of the bid value of the units is payable. ASSUMPTIONS \& PARAMETERS We have been provided with details of the assumptions used by the life office to price, reserve and profit test their policies; \begin{tabular}{|l|c|c|c|} \hline Risk Discount Rate & n/a & n/a & 8.5% p.a. \\ \hline \end{tabular} OBJECTIVES 1) Perform a full profit test for the model 2) Suggest an alternative charging structure which may appear better value to the policyholder while still maintaining a profit for the insurance company 3) Show the sensitivity of the profit to the assumptions by tabulating the profit margin for different rates of investment return and different mortality assumptions (i.e. by rating up or down the mortality tables by several years)
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