Consider the decision you might have to make if you won a state lottery. Which would a lump-sum payment of $54,000 today or a payment of $3,500 each year for the next 30 years? Assume a 6% annual interest rate. Lump-sum today of 54,000 O 3.500 each year for 30 years
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- 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.) $What uniform annual payment for 30 years is equivalent to spending $10,000 immediately, $10,000 at the end of 10 years, $10,000 at the end of 20 years, and $2,000 a year for 30 years? Assume an interest rate of 8%.Your retirement account has a current balance of $56,500. What interest rate would you need to be earned in order to accumulate a total of $1,500,000 in 40 years, by adding $6,700 annually? Suppose deposits are made at the beginning of the year. Make sure to show your work.
- Suppose you expect to receive a $10,000 bonus from your employer in two years upon completing your college degree. If the interest rate is 5%, what is the present value of the $10,000? The present value is $9,070.30 $9,523.80 $11,025.00 $10,500.00The 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 $Your coin collection contains fifty 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2062, assuming they appreciate at an annual rate of 4.5 percent?
- Calculate the price of a zero-coupon bond that matures in 20 years if the market interest rate is 3.8 percent. Assume semiannual compounding. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)An investment promises to pay into an account that pays you 6 percent annually, $150 per month for the next twenty-two years. Suppose the first deposit into the account is made one month from today what is the value of the amount which will be in the account at the end of thirty years? Rounded to 2 decimal places. (Answer up to 2 decimal places)Suppose a man purchases a luxury car with an initial down payment of $20,000 and then makes quarterly payments: $2000 at the each of each quarter for six years and $3500 at the end of each quarter for eight more years. Given an interest rate of 6% compounded quarterly, find the present value of the payments and the list price of the luxury car.
- You deposit $100 now, and another $100 at the end of 20 years. The account earns a nominal discount rate of 4% compounded monthly for the first 20 years, and a nominal discount rate of d(52) compounded weekly thereafter. If the account has $700 at the end of 40 years then find this nominal discount rate compounded weekly.An investment promises to pay into an account that pays you 6 percent annually, $150 per month for the next twenty-two years. Suppose the first deposit into the account is made one month from today what is the value of the amount which will be in the account at the end of thirty years? Rounded to 2 decimalAn insurer needs to make the following annuity payments to an individual: £2176 paid at the end of each year for the first 15 years and then £2177 paid at the end of each year for the following 12 years. Calculate the total amount of fund the insurer needs to hold today in order to meet these payments, given that the effective rate of interest is: 5.8% pa for the first 7 years and then 6.2% pa thereafter. Express your answer in £s to 2 decimal places. (correct answer = 28787.58)
