Calculate the expected payoff of the game with the given payoff matrix using the mixed strategies supplied. 20-1 2 R= [0 0.50 0.5], C = [0.5 0.5 0 0 P = -1 0 -2 0 0-2 0 1 1 3 1 -1

Please answer all three question.

First Securities, Inc., an investment firm, has $380,000 on account. The chief investment officer would like to reinvest the $380,000 in a portfolio that would maximize return on investment while at the same time maintaining a relatively conservative mix of stocks and bonds. The following table shows the investment opportunities and rates of return.   Investment Opportunity   Rate of Return     Municipal Bonds (X1) 0.095   High Tech Stock (X2) 0.146   Blue Chip Stock (X3) 0.075   Federal Bonds (X4) 0.070                                               a) The Board of Directors has mandated that at least 60 percent of the investment consist of a combination of municipal and federal bonds, at least 25 percent Blue Chip Stock, no more than 30 percent High Tech and Blue Chip Stock, and no more than 15 percent High Tech Stock.   Based on above problem, how many constraints are in this problem?   A) 3 B) 4 C) 5 D) 2   b) Based on part a, which of the…

A regional fast-food restaurant is considering an expansion program. The major factor influencing the success of such a program is the future level of interest rates. It is estimated that there is a 20% chance that interest rates will increase by 2 percentage points, a 50% chance that they will remain the same, and a 30% chance that they will decrease by 2 percentage points. The alternatives they are considering and possible payoffs are shown in the following table. Build 50 restaurants Build 25 restaurants Do nothing Rates up 2% - $220,000 -$125,000 - $60,000 Which alternative is best, based on expected value? O They should build 50 restaurants. O They should build 25 restaurants O They should do nothing. Rates unchanged Rates down 2% $55,000 $25,000 $0 $151,000 $83,000 $5,000

ASAP PLEASE   If your trading systerm has a losing percentage of 45%, how likely it is to have a series of four losses in a row?   1%   2.25%   45%   4.10%

GAME THEORY For the following game: 1. Find the saddle point. 2. What is the value of the game? 3. Interpret the solution. 4. The use of software to solve problems is not allowed. Strike Friend Contrary Retreat 5 Strike Retreat 3 *Please be as clear and legible as possible. Show and explain in detail all the steps. Thank you. 8 4

How do you do this?

you are analyzing the variables that explain the returns on the stock of the Boeing Com- pany. Because overall market returns are likely to explain a part of the returns on Boeing, you decide to include the returns on a value-weighted index of all the companies listed on the nySe, aMeX, and naSdaQ as an independent variable. Further, because Boeing is a large company, you also decide to include the returns on the S&P 500 index, which is a value-weighted index of the larger market-capitalization companies. Finally, you decide to include the changes in the uS dollar’s value. to conduct your test, you have collected the following data for the period 1990–2002. Rt = monthly return on the stock of Boeing in month t RALLt = monthly return on a value-weighted index of all the companies listed on the nySe, aMeX, and naSdaQ in month t RSPt = monthly return on the S&P 500 index in month t ΔXt = change in month t in the log of a trade-weighted index of the foreign exchange value of the uS…

Investing: Inverse ETFs (Exchange Traded Funds) Inverse ETFs, sometimes referred to as "bear market" or "short" funds, are designed to deliver the opposite of the performance of the index or category they track, and so can be used by traders to bet against the stock market. The following table shows the performance of three such funds as of August 5, 2015.† Year-to-Date Loss (%) MYY (ProShares Short Midcap 400) 6 SH (ProShares Short S&P 500) 5 REW (ProShares UltraShort Technology) 7 You invested a total of $13,000 in the three funds at the beginning of 2011, including an equal amount in SH and REW. Your year-to-date loss from the first two funds amounted to $570. How much did you invest in each of the three funds? MYY$ SH$ REW$

Suppose you are the marketing manager of a firm, and you plan to introduce a new product to the market. You have to estimate the first year net profit, which depends on several variables • Sales volume (in units) • Price per unit • Unit cost . Fixed costs Your net profit is net profit = sales volume x (price per unit-unit cost) - fixed cost The fixed cost is $120, 000, but other factors have some uncertainty. Based on your market research, there are equal chance that the market will be slow, ok, or hot. • Slow market the sales volume follows Poisson distribution with mean 50,000 units product, and the average price per unit is $11.00 ● Ok market the sales volume follows Poisson distribution with mean 75,000 units product, the average price per unit is $10.00 Hot market: the sales volume follows Poisson distribution with mean 100,000 units product, but the competition is severe so you expect the average price per unit is just $8.00 No matter what the market type is, your average unit…