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You are the CFO of Termination, Inc. Your company has 40 employees, each earning a salary of $40,000/year. Employee salaries grow at 4% per year. Starting from next year, and every second year thereafter, eight employees retire and no new employees are recruited. Your company has in place a pension plan that entitles retired workers to an annual pension which is equal to their annual salary at the moment of retirement. Life expectancy is 20 years after retirement, and the annual pension is paid at year-end. The return on investment is 10% per year. What is the total value of your pension liabilities as of now? Hint: The total value of your pension liabilities will be the sum of the PV of pension liability of each retirement cohort.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
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MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
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