A 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.

A 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.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

1. Future and present values Suppose a wealthy university booster has pledged a superstar high-school sophomore hockey recruit $1,000 as a gift the day they give a verbal commitment to play hockey at the booster's alma mater. Assuming a constant interest rate of 10%, consider the present and future values of this gift, depending on when the recruit announces their commitment. Complete the first row of the following table by determining the value of the gift in one and two years with interest if you become engaged today and save the money. Date Received Today In 1 year In 2 years Present Value (Dollars) 1,000.00 Value in One Year (Dollars) The present value of the gift is 1,000.00 Value in Two Years (Dollars) 1,000.00 Now complete the first column of the previous table by computing the present value of the gift if the recruit commits in one year or two years. if the recruit commits in one year than it is if you get engaged in two years.
You have won a lottery that pays you $100,000.00 at the end of this year, $110,000.00 at the end of the second, $120,000.00 the end of the third and so on for thirty years. A friend has offered you $1,200,000.00 today in exchange for all the income you will receive from the lottery win over the next 30 years. If you can get 8% interest on your savings is this a good deal?
A cash flow at time zero (now) of $14,551 is equivalent to another cash flow that is an EOY annuity of $2,700 over seven years (starting at year 1). Each of these two cash-flow series is equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same seven-year time interval? Assume that the cash flow at the end of year one is zero. ..... Choose the correct answer below. A. $989 B. $785 C. $392 D. $1,450 O E. Not enough information given.
Your firm is thinking about investing $250,000 in the overhaul of a manufacturing cell in a lean environment. Revenues are expected to be $39,000 in year one and then increasing by $13,000 more each year thereafter. Relevant expenses will be $15,000 in year one and will increase by $7,500 per year until the end of the cell's nine-year life. Salvage recovery at the end of year nine is estimated to be $10,000. What is the annual equivalent worth of the manufacturing cell if the MARR is 9% per year?
1. Mary buys a 20 year annuity immediate for $100,000 subject to 6% effective annual interest rate. The first payment is one year from the time of purchase. Mary reinvests each of the 20 payments, as soon as she received them at the end of each year, into a fund that earns 8% interest on deposits. What is the accumulated amount in Mary's fund right after the 20th annuity payment has been deposited into the fund?
Suppose that $4000 is placed in a bank account at the end of each quarter over the next 10 years. What is the future worth at the end of 10 years when the interest rate is 9% compounded at the given intervals? a. Quarterly b. Monthly c. Continuously There are a couple solutions out there but they are either not complete or wrong. Please take you time to complete a-c and explain what every aspect is please. Thanks!!
Maria deposits $1,300 in a savings account that pays interest at an annual compound rate of 4.0%. Two years after the deposit, the interest rate increases to 5.0% compounded annually. A second deposit of $2,700 is made immediately after the interest rate changes to 5.0%. How much will be in the fund 7 years after the second deposit? $ Round your final answer to 2 decimal places, e.g. 52.75. The cell tolerance is ±0.03
A cash flow at time zero (now) of $7,386 is equivalent to another cash flow that is an EOY annuity of $2,100 over five years (starting at year 1). Each of these two cash-flow series is equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same five-year time interval? Assume that the cash flow at the end of year one is zero. Choose the correct answer below. A. $1,050 B. $702 OC. $949 OD. $1,195 OE. Not enough information given.
(3) Suppose we invested $20,000 at an annual rate of 5% where interest is compounded continuously. (a) Write down an IVP that describes the amount of money y(t) that you will have in your account after t years. Then, solve the IVP and compute how much money you expect to have in your account after 10 years. (b) Now suppose you want to have $100,000 in your account after those 10 years. In order to accomplish that, you will make yearly deposits of D dollars. Find D, so that y(10) = $100,000. Note that we still have y(0) = $20,000.
You borrowed $10,000 from a local bank, with the agreement that you will pay back the loan according to a graduated payment plan. If your first payment is set at $1,500, what would the remaining payment look like at a borrowing rate of 7% over five years? (the value of G approximately is...) $10,000 0 $1.500 20 30 4G
1
← Use graphical approximation techniques to answer the question. When would an ordinary annuity consisting of quarterly payments of $430.20 at 8% compounded quarterly be worth more than a principal of $4600 invested at 5% simple interest? The annuity would be worth more than the principal in approximately (Round to one decimal place as needed.) years.