Consider a consumer that lives only for two periods. He works in period 1 (and gets income Y1) and moves up the corporate ladder in period 2 (and gets income Y1 < Y2). This consumer has the usual preferences over time: u(C1) + βu(C2) Assume once again that a consumer cannot borrow, but can borrow and immediately sell some MacGuffins, and in the next period, the consumer must buy back the MacGuffins to return to the lender. Assume that MacGuffin t r a d e s a t P1 > 0 in the first period and is expected to trade at P ̃2 in the second period. Write down the new budget constraint. Would a consumer borrow a MacGuffin? What is the condition on the P ̃2? Is P ̃2 a fair price of a MacGuffin? Could the consumer be better off with a MacGuffin?

Consider a consumer that lives only for two periods. He works in period 1 (and gets income Y1) and moves up the corporate ladder in period 2 (and gets income Y1 < Y2). This consumer has the usual preferences over time: u(C1) + βu(C2) Assume once again that a consumer cannot borrow, but can borrow and immediately sell some MacGuffins, and in the next period, the consumer must buy back the MacGuffins to return to the lender. Assume that MacGuffin t r a d e s a t P1 > 0 in the first period and is expected to trade at P ̃2 in the second period. Write down the new budget constraint. Would a consumer borrow a MacGuffin? What is the condition on the P ̃2? Is P ̃2 a fair price of a MacGuffin? Could the consumer be better off with a MacGuffin?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section11.3: Financial Models

Problem 22P: In the financial world, there are many types of complex instruments called derivatives that derive...

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The IRR is the discount rate r that makes a project have an NPV of 0. You can find IRR in Excel with the built-in IRR function, using the syntax =IRR(range of cash flows). However, it can be tricky. In fact, if the IRR is not near 10%, this function might not find an answer, and you would get an error message. Then you must try the syntax =IRR(range of cash flows, guess), where guess" is your best guess for the IRR. It is best to try a range of guesses (say, 90% to 100%). Find the IRR of the project described in Problem 34. 34. Consider a project with the following cash flows: year 1, 400; year 2, 200; year 3, 600; year 4, 900; year 5, 1000; year 6, 250; year 7, 230. Assume a discount rate of 15% per year. a. Find the projects NPV if cash flows occur at the ends of the respective years. b. Find the projects NPV if cash flows occur at the beginnings of the respective years. c. Find the projects NPV if cash flows occur at the middles of the respective years.
A European put option allows an investor to sell a share of stock at the exercise price on the exercise data. For example, if the exercise price is 48, and the stock price is 45 on the exercise date, the investor can sell the stock for 48 and then immediately buy it back (that is, cover his position) for 45, making 3 profit. But if the stock price on the exercise date is greater than the exercise price, the option is worthless at that date. So for a put, the investor is hoping that the price of the stock decreases. Using the same parameters as in Example 11.7, find a fair price for a European put option. (Note: As discussed in the text, an actual put option is usually for 100 shares.)
Rerun the new car simulation from Example 11.4, but now use the RISKSIMTABLE function appropriately to simulate discount rates of 5%, 7.5%, 10%, 12.5%, and 15%. Comment on how the outputs change as the discount rate decreases from the value used in the example, 10%.
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Suppose you begin year 1 with 5000. At the beginning of each year, you put half of your money under a mattress and invest the other half in Whitewater stock. During each year, there is a 40% chance that the Whitewater stock will double, and there is a 60% chance that you will lose half of your investment. To illustrate, if the stock doubles during the first year, you will have 3750 under the mattress and 3750 invested in Whitewater during year 2. You want to estimate your annual return over a 30-year period. If you end with F dollars, your annual return is (F/5000)1/30 1. For example, if you end with 100,000, your annual return is 201/30 1 = 0.105, or 10.5%. Run 1000 replications of an appropriate simulation. Based on the results, you can be 95% certain that your annual return will be between which two values?
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You are thinking of starting Peaco, which will produce Peakbabies, a product that competes with Ty's Beanie Babies. In year 0 (right now), you will incur costs of $4 million to build a plant. In year 1, you expect to sell 80,000 Peakbabies for a unit price of $25. The price of $25 will remain unchanged through years 1 to 5. Unit sales are expected to grow by the same percentage (g) each year. During years 1 to 5, Peaco incurs two types of costs: variable costs and SG&A (selling, general, and administrative) costs. Each year, variable costs equal half of revenue. During year 1, SG&A costs equal 40% of revenue. This percentage is assumed to drop 2% per year, so during year 2, SG&A costs will equal 38% of revenue, and so on. Peaco's goal is to have profits for years 0 to 5 sum to 0 (ignoring the time value of money). This will ensure that the $4 million investment in year 0 is paid back by the end of year 5. What annual percentage growth rate g does Peaco require to pay back…
Suppose savers either buy bonds or make deposits in savings accounts at banks. Initially, the interest income earned on bonds or deposits is taxed at a rate of 20%. Now suppose there is a decrease in the tax rate on interest income, from 20% to 15%. Shift the appropriate curve on the graph to reflect this change. This change in the tax treatment of saving causes the equilibrium interest rate in the market for loanable funds to (fall,rise) and the level of investment spending to (decrease,increase). An investment tax credit effectively lowers the tax bill of any firm that purchases new capital in the relevant time period. Suppose the government repeals a previously existing investment tax credit. Shift the appropriate curve on the graph to reflect this change. The repeal of the previously existing tax credit causes the interest rate to (fall,rise) and the level of saving to (fall,rise). Initially, the government's budget is balanced, then the government responds…
each company sinks wells of the same size at the same time. If both companies sink wide wells, each will extract 2 million barrels in 6 months, but each company will receive profit of only GHC 1 million. On the other if each company sinks a narrow well, it will take a year for Clampett and TEXplor to extract their respective shares, but their profits will be GHC14 million apiece. Finally, if one company drills a wide well while the other company drills a narrow well, the first company will extract 3 million barrels and the second company will extract only 1 million barrels. In this case, the first company will earn profits of GHC 16 million and the second company will actually lose GHC 1million.1. Illustrate this using a normal form game. 2. Does either firm have a strictly dominant strategy? If yes, what is (are) these strategies? Explain your answer. 3. What strategy will each firm adopt? Explain your answer. 4. Does this game have a Nash equilibrium? Explain your answer5. Is…
Company A's stock sells for $142 a share and has a 3-year average annual return of $27 per share. The beta value, a measure of risk, is 0.38. Company B sells for $149 a share and has a 3-year average annual return of $61 a share. The beta value is 1.23. Tori wants to spend no more than $12000 investing in these two stocks, but she wants to obtain at least $3000 in annual revenue. Tori also wants to minimize the risk, that is, the beta value. Determine how many shares of each stock Tori should buy.
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