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True/False (Explain): Higher the interest rate, higher the Present Value of future cash flows.
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- Which of the following is different? A. present value B. accumulated amount C. Future Value D. Maturity ValueA state lottery gives a winner the choice of receiving the winning amount in equal monthly payments for 20 years or receiving a lump sum equal to the present value of an annuity with future value equal to the winnings. The winner selecting monthly payments will receive $4,000,000/240 = $16,666.67 each month for each million dollars of winnings. (Round your final answers to two decimal places.) (a) Find the present value of an annuity with monthly payments of $16,666.67, at an Interest rate of 5.2% for 20 years, for the winner who wants a lump-sum payment. $ X (b) In order for the lottery to be more profitable, it is decided to pay the winnings in equal monthly payments for 25 years. Find the monthly payments of $4 million in winnings. $ Find the present value of an annuity with those monthly payments at 5.2% for 25 years. $The market for a product is expected to increase at an annual rate of 6%. First-year sales are estimated at $45,000, the horizon is 12 years, and the interest rate is 8%. What is the present value?
- Sam has the option of purchasing a car for $30,000 or leasing it for a $375 payment made at the beginning of each month for 4 years. The interest rate is 2.7% compounded semi-annually, a down payment of $7,500 is required and the residual value is $7,000 payable at the end of the lease. Should Sam lease or buy? What is the economic advantage of the better choice? Correct your answer to 2 decimal placesAn engineer invests $7350 at the end of every year for a 30-year career. If the engineer wants $1 million in savings at retirement, what interest rate must the investment earn?Kathy buys a tv set fir 12,500 cash after 60 days. Kathy wishes to pay immediately and the seller needs to compute the cash price on the assumption that money is worth 8% simple interest. What is the cash price today?
- 14. When you complete your MBA, you will treat yourself to a new car. The car you want to buy costs $25,000 and you have enough to put 20% down in cash. You can take out a loan for the rest of the cost of the car. Calculate your monthly car payments assuming the auto finance department states that the annual interest rate on the car loan is 8% and you pay the loan over a 3-year period.If a person wants to invest $5,000.00 now for the next 10 years plans to withdraw $7,500.00 after 10 years, what is the exact interest rate he should ask for his investment?An annuity-due has 26 payments of $200 per period. The effective rate of interest per period is 8% for the first 12 periods and 4% for the following 14 periods. (A) Find the accumulated value of the annuity using the portfolio method. Round your answer to 2 decimal places. (B) Find the accumulated value of the annuity using the yield-curve method.. Round your answer to 2 decimal places.
- Living in retirement 25 years Retirement age 65 Annual income $100,000 Interest Rate 6% Need 2 million to live comfortably What is the present value of the retirement income needs? ( this is how much you will need k retirement savings on the day you retire in order to meet your goals) How much must you save each year (or each month) during your working years to meet this goal? ( compute the required payment to achieve a future value equal to the amount you need to have on the day you retire, which was computed above) Is the goal realistic?What type of interest is the capital invested in a transaction is principal and at any time after the investment of the principal, the sum of the principal and the interest due is future amount?A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $3,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 4% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 15% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made? ARCKICHI a. What is today's value of the bequest? Today's value of the bequest is $(Round to the nearest dollar. b. What is the value of the bequest immediately after the first payment is made? The value of the bequest immediately after the first payment is made is $ (Round to the nearest dollar.)