Annual premiums are paid into a 3 year unit linked endowment policy where 98% of each premium is allocated to units in a fund that carries a 3% bid- offer spread and charges management fees of 0.75% of assets at the end of each policy year. The policy has a death benefit of the bid value of units payable at the end of the year of death subject to a minimum of £12,500. The survival benefit is the bid value of units at the end of the term. The life assurance company estimates that expenses are £95 per policy per year. (a) Produce projected revenue accounts for each year of a policy with an annual premium of £5,000 assuming the annual rate of mortality is 0.00498, an investment return of 6.9% per annum and an interest rate on cash balances of 3% per annum. (b) Does the life assurance company meet its internal profit margin objective of 5% on this policy if its risk discount rate is 5.5% per annum?
Annual premiums are paid into a 3 year unit linked endowment policy where 98% of each premium is allocated to units in a fund that carries a 3% bid- offer spread and charges management fees of 0.75% of assets at the end of each policy year. The policy has a death benefit of the bid value of units payable at the end of the year of death subject to a minimum of £12,500. The survival benefit is the bid value of units at the end of the term. The life assurance company estimates that expenses are £95 per policy per year. (a) Produce projected revenue accounts for each year of a policy with an annual premium of £5,000 assuming the annual rate of mortality is 0.00498, an investment return of 6.9% per annum and an interest rate on cash balances of 3% per annum. (b) Does the life assurance company meet its internal profit margin objective of 5% on this policy if its risk discount rate is 5.5% per annum?
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.6P
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