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: O O 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 $

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: O O 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 $

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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21. A winner of sweepstake is given two options: option #1 receives a one-time payment of $ 1,000,000 or option #2 receives $80,000 now plus $80, 000 per year payments for 20 years. Whichever option selected is guaranteed. If the value of money is 5%, what is the present worth of option #2? What is the best choice? 996,960, 1,076, 960, 876, 200, NO CORRECT ANSWER, 990, 500, 1, 455, 600
Suppose that we can describe the world using two states and that two assets are available, asset K an asset L. We assume the asset’s future prices have the following distribution State Future Price Asset K Future Price Asset L 1 $55 $60 2 $45 $30 The current price of asset K is $50, and the current price of asset L is $50. You plan to buy a home for $100,000 in the future. You want to guarantee that you will have the money. What would you buy/sell today to accomplish this, and what would it cost today?
4) Retirement: You have just retired from your company after working for twenty years. Your company provides a retirement package and gives you the option of i) receiving $250,000 today, or ii) receiving $350,000 in five years (T=5). What option would you select if the interest rate is R=5%? What option would you select if the interest rate is R=10%? What interest rate would make the present value of both options equal? (Hint: use Excel’s Data-What If - Goal Seek to solve for the interest rate T).
Suppose that Dmitri just won the lottery and must choose between three award options: 1. A lump sum of $40,000,000 received today 2. 15 end-of-year payments of $5,000,000 3. 40 end-of-year payments of $3,600,000 Assume the interest rate is 8.00%, entered as 8 on your financial calculator. Note: Take the absolute value of the present value when answering this question. Using a financial calculator yields a present value for option 2 of approximately and a present value for option 3 of approximately (when the interest rate is 8.00%). Based on this, Dmitri should choose option if he seeks to maximize present value. Now assume the interest rate is 9.00%, entered as 9 on your financial calculator. Note: Take the absolute value of the present value when answering this question. Using the table you just filled out and a financial calculator, yields a present value for option 2 of approximately and a present value for option 3 of approximately v (when the interest rate is 9.00%). Based on…
You have a choice between receiving $550 now or $570 in six months' time. Current interest rates are 10% p.a. (simple interest). a) As a rational investor, which option would you choose, and why? b) Calculate the minimum interest rate p.a. that would reverse your choice above.
What questions 25, 26
You Just won a lottery that promise to pay you 100,000 exactly 10 years from now. Because the 100,000 is guaranteed by the government, opportunities exist to sell the claim today for an immediate single cash payment. a- What is the least you will sell your claim for it you can earn the following rates of retum on similar risk investment during the 10-year period? 1- 5% 2- 8% 3- 11% b- Rework on part a under the assumption that 100,000 payment will be received in 15 years rather than 10 years. c- Explain why you want or do not want to explain you claim.
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%
28,29,30
Bill Padley expects to invest $6,000 for 3 years, after which he wants to receive $6,945.60. What rate of interest must Padley earn? (PV of $1. EV of $1. PVA of $1. and EVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.) Future Value Present Value Table Factor Interest Rate %
You have just won the state lottery and have two choices for collecting your winnings. You can collect $111,000 today or receive $21,900 at the end of each year for the next seven years. A financial analyst has told you that you can earn 9 percent on your investments. Required: 1. Calculate the present value of both the options (FV of $1, PV of $1, FVA of $1, and PVA of $1) Note: Use appropriate factor(s) from the tables provided. 2. Which alternative should you select?
Suppose an Investor, Erik, is offered the Investment opportunities described in the table below. Each Investment costs $1,000 today and provides a payoff, also described below, one year from now. Option Payoff One Year from Now 1 100% chance of receiving $1,100 2 50% chance of receiving $1,000 50% chance of receiving $1,200 3 50% chance of receiving $200 50% chance of receiving $2,000 If Erik is a risk neutral investor, which investment will he prefer? O Erik will be indifferent toward these options. Erik will choose option 1. Erik will choose option 2. Erik will choose option 3. In contrast, Erik's brother, Devin, is risk averse. Which of the following statements is true about Devin? Everything else remaining constant, Devin will prefer option 1. Everything else remaining constant, Devin will prefer option 2. ○ Everything else remaining constant, Devin will prefer option 3. O None of these options is preferred.

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