For a whole life insurance of 1000 on (x) payable at the end of the year of death: (a) 9z = 0.045 and q+1 = 0.062 (b) v = 0.92 (c) Az+2 0.4523 Calculate the change in the expected present value of this insurance if q,+1 is doubled.
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- Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?A portfolio's value increases by 20% during a financial boom and by 7% during normal times. It decreases by 14% during a recession. What is the expected return on this portfolio if each scenario is equally likely?A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spores at 12:00am, estimate the expected number of mold spores at 3:30am.
- If : Present Value (PV) of a bond= $8000 Number of Years (N) it takes to mature = 20years. Interest Rate (r) = 7% Using the rule of 70, what is the Future Value (FV) ?A machine costs P 8,000.00 and an estimated life of 10 years with a salvage value of P500.00. What is its book value after 8 years using straight-line method?The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. Hence the total number of burglaries increased by 40% over the two year period. What is the mistaken assumption here? Why is that assumption incorrect?
- A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the value of the quantity after 10 weeks, to the nearest hundredth?If the total depreciation after 1 year and 2 years in an equipment are 21,776 and 36,153 respectively using DBM and the equipment has an expected life of 10 years, find the salvage value.A town wishes to plan a new hospital to meet the needs for 20 years and hence desires an estimates of the population in 20 years. The population is now 10000 and in the past has increased each year by 3% of the population at the beginning of the year. If the present rate of increase continues, find the population at the end of 20 years.
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