Lottery. Your dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment plans for the $5,000,000 advertised jackpot. You can take annual payments of $250,000 at the end of the year for the next 20 years or $2,128,391 today. a. If your investment rate over the next 20 years is 12%, which payoff will you choose? b. If your investment rate over the next 20 years is 9%, which payoff will you choose? c. At what investment rate will the annuity stream of $250,000 be the same as the lump-sum payment of $2,128,391? a. If your investment rate over the next 20 years is 12%, what is the present value of the $250,000 annual payments today? (Round to the nearest dollar.)

Lottery. Your dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment plans for the $5,000,000 advertised jackpot. You can take annual payments of $250,000 at the end of the year for the next 20 years or $2,128,391 today. a. If your investment rate over the next 20 years is 12%, which payoff will you choose? b. If your investment rate over the next 20 years is 9%, which payoff will you choose? c. At what investment rate will the annuity stream of $250,000 be the same as the lump-sum payment of $2,128,391? a. If your investment rate over the next 20 years is 12%, what is the present value of the $250,000 annual payments today? (Round to the nearest dollar.)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You’re considering purchasing an apartment for $200,000. You believe that you can earn an initial rental income of $12,000 per year on it and that the rental income will grow at 3% per year. You also believe that you can sell the apartment for $225,000 after 5 years. The IRR calculation is shown below:
Your younger sibling asks you to borrow $20. You, a smart financial professional, agree but also charge interest on the $20. You plan to collect $5 from your sibling each week for 8 weeks to repay the initial loan. What is the NPV of this project, assuming you invest the $5 at 12%? a. $4.84 b. $2.11 c. $0 d. $6.88
Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you get to choose): 1. $8,750 a year at the end of each of the next seven years 2. $50,050 (lump sum) now 3. $98,650 (lump sum) seven years from now Calculate the present value of each scenario using a 6% interest rate. Which scenario yields the highest present value? Would your preference change if you used a 12% interest rate? (Click the icon to view the present value (Click the icon to view the present value annuity factor table.) factor table.) (Click the icon to view the future value annuity factor table.) factor table.) (Glick the icon to view the future value Using a 6% interest rate, calculate the present values for each scenario. (Round the amounts to the nearest dollar.) Present value of Scenario 1
Your dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment plans for the$4,000,000 advertised jackpot. You can take annual payments of $160,000 at the end of the year for the next 25 years or $1,864,573 today. b. If your investment rate over the next 25 years is 6%, what is the present value of the $160,000 annual payments today?
.You want to start a scholarship fund at your alma mater with giving one $10,000 scholarship annually beginning one year from now. And you have at most $150,000 to start the fund. You also want the scholarship to be given out indefinitely. Assuming an annual interest rate of 8% (compounded continuously , do you have enough money for the scholarship fund? 15%4 (Hint: 1. Derive the formula of the present value of a perpetuity .2. Find the present value.)
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Imagine that you won $100 million in the lottery and were offered the choice between two payment plans: Plan A: Receive $61 million in a lump sum today Plan B: Receive an initial payment of $1.5 million today and annual payments that increase by 5% annually over the next 29 years (30 payments total) a. Determine the net present value of each plan without discounting. Which plan is the better option? b. Assuming an interest rate of 4%, determine the future value of each plan at the end of the 29 years with discounting. Which plan is the better option?
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