Professor's Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $180,000 at age 65, the firm will pay the retiring professor $1000 a month until death. If the professor's remaining life expectancy is 30 years. What is the effective annual rate (EAR)?
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- Professor’s Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $200,000 at age 65, the firm will pay the retiring professor $1,000 a month until death. If the professor’s remaining life expectancy is 25 years, what is the monthly rate on this annuity? What is the effective annual rate?Professor’s Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $76,000 at age 65, the firm will pay the retiring professor $500 a month until death. a. If the professor’s remaining life expectancy is 20 years, what is the monthly interest rate on this annuity? b. What is the effective annual interest rate? c. If the monthly interest rate is 1.00%, what monthly annuity payment can the firm offer to the retiring professor?Professor's Annuity Corporation offers a lifetime annuity to retiring professors. For a payment of $80,000 at age 65, the firm will pay the retiring professor $600 a month until his death. a. If the professor's remaining life expectancy is 20 years, what is the monthly interest rate on this annuity? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. b. What is the effective annual interest rate? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. If the monthly interest rate is .5%, what monthly annuity payment can the firm offer to the retiring professor? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. a. Monthly rate on annuity b. Effective annual rate c. Monthly annuity payment % %
- Professor’s Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $81,000 at age 65, the firm will pay the retiring professor $625 a month until death. a. If the professor’s remaining life expectancy is 15 years, what is the monthly interest rate on this annuity? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. What is the effective annual interest rate? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. If the monthly interest rate is 0.75%, what monthly annuity payment can the firm offer to the retiring professor? (Do not round intermediate calculations. Round your answer to 2 decimal places.)Professor’s Annuity Corporation offers a lifetime annuity to retiring professors. For a payment of $78,000 at age 65, the firm will pay the retiring professor $550 a month until his death. If the professor’s remaining life expectancy is 20 years, what is the monthly interest rate on this annuity? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. What is the effective annual interest rate? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. If the monthly interest rate is 0.50%, what monthly annuity payment can the firm offer to the retiring professor? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Don't use ExcelThe beneficiary of a life insurance policy is to receive $2000 a year for 5 years, the first payment to be made at the time of the death of the injured. Find the value of the annuity at the time of death of injured, assuming the current interest rate to be 4%. Answer: $9259.8
- You wish to retire in 11 years, at which time you want to have accumulated enough money to receive an annual annulty of $26,000 for 16 years after retirement. During the period before retirement you can earn 12 percent annually, while after retirement you can earn 14 percent on your money. What annual contributions to the retirement fund will allow you to receive the $26,000 annuity? Use Appendix C and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. Note: Do not round Intermediate calculations. Round your final answer to 2 decimal places. Annual contributionAssume that a pension plan offers to pay $500,000 on a person's retirement (his/her sixty-fifth birthday) or a semi-annual annuity for the remainder of the person's life - i.e., starting 6 months from the date of retirement and including his/her date of death. Interest rates are 7 percent compounded annually, and a person's life expectancy has been determined statistically as being 78.5 years. Calculate the amnunt of the annuity that would make a person indifferent between the options? A person joins a pension plan at age 40 (40" birthday). How much will s/he have to pay into the pension fund each year in order to accumulate a balance of $500,000 by the time s/he retires (age 65)? Assume that the final payment is on his/her 60th birthday. Interest rates are 9% compounded semi-annually.For a special 20-year temporary life annuity-due payable monthly on (50), you are given: - Mortality follows the Illustrative Life Table with ? = 0.06. - Deaths are uniformly distributed over each year of age. - 100 is payable at the beginning of each month from age 50 for 10 years. - 400 is payable at the beginning of each month from age 60 for 10 years. Calculate the expected present value of these annuity payments.
- To insure you, Assurances Nochance Ltd offers the following plan: you will pay 20 annual payments of $8,000 starting one year from today. Then, in year 21, you or your heirs will receive a pension for the following 15 years. The discount rate used by the company to calculate your pension is 6%. (a) What is the size of your annual pension? (b) Ifyoucouldtakeaone‐timelumpsumpayment25yearsfromtodayinsteadofthepension,how high would the equivalent lump sum payment have to be?.You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.Emerson Cammack wishes to purchase an annuity contract that will pay him $7,000 a year for the rest of his life. The Philo Life Insurance Company figures that his life expectancy is 20 years, based on its actuary tables. The company imputes a compound annual interest rate of 6 percent in its annuity contracts. a. How much will Cammack have to pay for the annuity? b. How much would he have to pay if the interest rate were 8 percent?
