Show complete solution David won a lottery worth $10,000,000. He has opted for an annuity payment at the end of each year for the next 20 years as a payout. Determine the amount that David will be paid as annuity payment if the ongoing rate of interest in the market is 5%. Determine
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- David won a lottery worth $10,000,000. He has opted for an annuity payment at the end of each year for the next 20 years as a payout. Determine the amount that David will be paid as annuity payment if the ongoing rate of interest in the market is 5%. Determine what is the Lumpsum if David decides to withdraw everything at the end of 20.
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- Define the following: i) Simple interest. ii) Breakeven point. iii) Ordinary annuity. b) When the price of a commodity is Sh. 530 the unit demand is 55 units. The demand is 120 units when the price is Sh. 270. If the cost of production is C = 2q + 150, Calculate the profit when 5 units are produced and sold. c) The present value of an annuity due is Sh. 284,000 after 4 years at a discount rate of 10%. Calculate the annual payment. d) A man deposits Sh. 12,000 in a bank at the beginning of each year. The compound interest is 12% per year. Calculate how long it will take for an accumulated amount of Sh. 95,000.Jack Rabbit has saved $10,000 annually for the last 35 years in an account eaming 8%. If Jack estimates that he will live for an additional 25 years, how much would he be able to start withdrawing annually for his retirement ( 8% interest)? The answer should be one of these $120,139 $177,567 $161,424 $145,282A bond pays $2500 in 10 years an earns an annual interest rate of 2.75%. What is the bond's price? Assume annual compounding. Round your answer to two decimal places.
- A local bank advertises the following deal: "Pay us $100 at the end of each year for 10 years and then we will pay you (or your beneficiaries) $100 at the end of each year forever." Calculate the present value of your payments to the bank if the interest rate is 6%. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. What is the present value of a $100 perpetuity deferred for 10 years if the interest rate is 6%? Note: Do not round intermediate calculations. Round your answer to 2 decimal places.Suppose a state lottery prize of $2 million is to be paid in 20 payments of $100,000 each at the end of each of the next 20 years. If money is worth 11%, compounded annually, what is the present value of the prize? (Round your answer to the nearest cent.) $Ex Ante and Ex Post Real Interest Rates
- What would be the selling price of a 10-year bond with a face value of 100000, interest at 20% which is paid quaterly if an investor desires to earn a 16% nominal interest on 100000 worth of these bonds?Lourdes has just retired and plans to consume $14257 from the retirement account every year for the next 12 years starting one year from today, meeting the rest of the expenses from other resources. If the annual interest rate is 9.6% compounded semiannually, how much does Lourdes have in the retirement account today? Round off interest rate to six decimal places.Find the future value (accumulation) at 4% interest compoundedcontinuously for 7 years for the continuous income stream with a rate of flow of income of f(x) = 2000e0.05t continuously.
- Your goal again is to accumulate a million dollars in the next thirty years, this time on a monthly investment plan. The interest rate is again 12 percent (nominal) compounded monthly, how much should you invest every month!?Subject: engineering economics A 1,500-bond which will mature in 10 years and with a bond rate of 15% payable annually is to be redeemed at par at the end of this period. If it is sold now for 1, 200 determine the yield at this price.The price of a new car is $20,000. Assume that an individual makes a down payment of 25% toward the purchase of the car and secures financing for the balance at the rate of 7%/ year compounded monthly. (Round your answers to the nearest cent.) (a) What monthly payment will she be required to make if the car is financed over a period of 36 months? Over a period of 60 months? 36 months $ 60 months $ (b) What will the interest charges be if she elects the 36-month plan? The 60-month plan? 36-month plan $ 60-month plan $