A winning lottery ticket offers the following two options: Option 1: A single payment of $5,000,000 today or Option 2: $2,500,000 today followed by annual payments of $1,000,000 for the next three years. a. If money can earn 6.9% compounded quarterly, which option should the winner select? O The winner should select the payment plan. The winner should select the single payment today. b. How much better is the option selected in part (a) in current dollars? Number

A winning lottery ticket offers the following two options: Option 1: A single payment of $5,000,000 today or Option 2: $2,500,000 today followed by annual payments of $1,000,000 for the next three years. a. If money can earn 6.9% compounded quarterly, which option should the winner select? O The winner should select the payment plan. The winner should select the single payment today. b. How much better is the option selected in part (a) in current dollars? Number

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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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?
The winner of a lottery is given a choice of $1,000,000 cash today or $2,000,000 paid out as follows: $100,000 cash per year for 20 years with the first payment today and 19 subsequent annual payments thereafter. The inflation rate is expected to be constant at 4%/yr over the award period and the winner’s TVOM (real interest rate) is 3.5%/yr. Solve, a. Which choice is better for the winner? Neglect the effect of taxes, life span, and uncertainty. b. At what value of inflation are the two choices economically equivalent? c. What would you do if you do NOT neglect the effect of life span and uncertainty?
You have just won the lottery and will receive $1,000,000 in one year. You will receive payments for 35 years and the payments will increase by 4 percent per year. If the appropriate discount rate is 8 percent, what is the present value of (Do not round intermediate calculations and round your answer to 2 decimal places, 32.16.) your winnings? e.g., Present value
You are the lucky winner of the $30 million state lottery. You can take your prize money either as (a) 30 payments of $1 million per year (starting in one year), or (b) $15 million paid today. If the interest rate is 5.5%, which option should you take? Select one: a. Option a, as it is equivalent to 15 333 101 $ b. Option a, as it is equivalent to 15 141 074 $ c. Option b d. Option a, as it is equivalent to 15 372 451 $
Imagine you have just won the Ohio Vax-Million lottery! However, you are infomed that you have two options to get the award maney. option A pays $1,000,000 immediately. Option B pays $1,750,000 at the end of five years from now. Using a discount rate of 5 percent, based on present values, find the present value of the Option B. Which would you choose? m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV
Lottery A pays $1,000 today and Lottery B pays $1,750 at the end of five years. If the discount rate is 5%, which lottery should you choose? ( Please show a detailed process) Lottery B, because its present value is $1,371 which is more than that of Lottery A. Lottery A, because its future value is $1,276. C.Lottery B, because it pays $1,750 which is more than $1,000 from Lottery A. Either option gives the same value over time.
1
Assume you win a lottery, and you are offered the following stream of payments by the lottery commission: $25,000 today, $32,000 one year from now, another $32,000 two years from now, and a final payment of $55,000 three years from now. You accept the offer. If you invest all of these proceeds at 6% compounded annually and extract nothing from the investment, how much will you have at the end of the fourth year? Excel Formula Please
The prize in last week’s lottery was estimated to be worth $90 million. If you were lucky enough to win, the payment will be $3.6 million per year over the next 25 years. Assume that the first installment is received immediately. If interest rates are 6%, what is the present value of the prize? If interest rates are 6%, what is the future value after 25 years? How would your answers change if the payments were received at the end of each year? How would your answers change if the interest rate was higher?
Suppose you just won the state lottery, and you have a choice between receiving $2,550,000 today or $270,000 a year for 18 years, with the first payment starting one year from today. What annual interest rate does the second choice provide? 6.75% 7.49% 7.89% 6.28%
Consider the following three options: (1) receive a one-time payment $102 now, (2) receive a one-time benefit of $115 in 5 years (from now), (3) receive $2 every year forever. If the yearly discount rate is 2%, which option would yield the most revenue? O option 3 O option 2 O option 1 O options 1 and 3
Assume you win a lottery that will pay you $10,000 immediately, plus $20,000 one year from now, $30,000 two years from now, $40,000 three years from now, and $75,000 four years from now. You’re curious about how much the lottery commission might offer you as an immediate lump sum instead. What is the minimum amount you should consider accepting today instead? Use a 5% annual discount rate. Please remember that we are ignoring taxation and other considerations and basing this only on the math itself.

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