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?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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An investor has £13,000 in a fund generating a 5% return, with a 2.5% initial cost and an annual charge of 0.5%. What would that fund be worth after 5 years? Use the equation M = P (1+i)n to calculate the fund value.
6% n 1 2 3 4 5 6 7 8 9 10 Single Payments Compound Present Amount Worth P/F F/P 1.0600 1.1236 1.1910 1.2625 1.3382 TABLE 11 Discrete Cash Flow: Compound Interest Factors Uniform Series Payments Compound Amount F/A Capital Recovery A/P 1.4185 1.5036 1.5938 1.6895 1.7908 0.9434 0.8900 0.8396 0.7921 0.7473 0.7050 0.6651 0.6274 0.5919 0.5584 Sinking Fund A/F 1.00000 0.48544 0.31411 0.22859 0.17740 0.14336 0.11914 0.10104 0.08702 0.07587 1.0000 2.0600 3.1836 4.3746 5.6371 6.9753 8.3938 9.8975 11.4913 13.1808 1.06000 0.54544 0.37411 0.28859 0.23740 0.20336 0.17914 0.16104 0.14702 0.13587 Present Worth P/A 0.9434 1.8334 2.6730 3.4651 4.2124 4.9173 5.5824 6.2098 6.8017 7.3601 Arithmetic Gradients Gradient Present Worth P/G 0.8900 2.5692 4.9455 7.9345 11.4594 15.4497 19.8416 24.5768 29.6023 Gradient Uniform Series A/G 0.4854 0.9612 1.4272 1.8836 2.3304 2.7676 3.1952 6% 3.6133 4.0220 A family that won a $100,000 prize on America's Funniest Home Videos decided to put one-half of the money in a…
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Appledale Dairy is considering upgrading an old ice-cream maker. Moderate upgrading costs $7050 now and yields annual savings of $4800 in the first year, and decreases by $300 dollars every year after that. If the upgraded ice-cream maker will last for seven years, what is the present worth of the upgrading option? Use a present worth comparison. Appledale's MARR is 9 percent.