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Suppose that you have a lottery with two states Yes and No. You are asked to toss a coin and
that if it comes up head, you will win 5% of your investment and if it comes up tail you will
lose 3% of your investment. Assume that your initial investment is K1000 and that you have
decided to only toss a coin three times.
i. Determine all the possible outcomes of the game at the end of the third toss and
present your answer on a tree diagram.
ii. What is the total wealth for each of the outcomes in (i) above?
iii. Find the expected value of the outcomes.
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- Millicent’s utility function is U(w) = W0.5 , where W is her wealth. She owns a “pure water” producing firm that will be worth GH100 or 0 Ghana cedis next year with equal probability. a. Suppose her firm is the only asset she has. What is the lowest price at which she will agree to sell her pure water? (Hint: price=amount that will give her the same expected utility) b. Assume that she has GH200 safely stored under her mattress, find the new lowest price at which she will agree to sell her “pure water” producing firm c. From your answers in parts (a) and (b), what is the relationship between her wealth and her degree of risk aversion?. If you examine the decision tree in Figure 9.12 (orany other decision trees from PrecisionTree), you willsee two numbers (in blue font) to the right of each endnode. The bottom number is the combined monetaryvalue from following the corresponding path throughthe tree. The top number is the probability that thispath will be followed, given that the best strategy isused. With this in mind, explain (1) how the positiveprobabilities following the end nodes are calculated,(2) why some of the probabilities following the endnodes are 0, and (3) why the sum of the probabilitiesfollowing the end nodes is necessarily 1.At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many dollars to contribute from the interval [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes. The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi, where bi>0.bi(1+d)xi−xi, where bi>0. Assume that d=4d=4, bi=0.25bi=0.25 for i=1,2,…,10i=1,2,…,10, andbi=0.5bi=0.5 for i=11,12,…,20i=11,12,…,20 What is the best contribution level of any employee ii for i=1,2,…,10i=1,2,…,10. At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many dollars to contribute from the interval [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes. The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi,…
- Adam is considering what skills to study in online school. Her utility function is based on the income she earns, and is defined by U(I) = I0.8. If she learns the skill of SPSS, she will earn $145,000 per year with probability 1. If she learns the skill of Tableau, she will earn $300,000 per year with probability 0.6 (assuming that she gets the certificate) and $30,000 with probability 0.4 (if she learns without earning a certificate and she has to find a waiter job). a. Is she risk averse, risk neutral, or risk loving? Explain.b. Write out the equation for her expected utility for each skill. c.Which skill will she learn? Show your work. d.Suppose someone offers her insurance for the possibility that she does not get a Tableau certificate. This insurance will provide her an amount of income in addition to the waiter job wages that makes her indifferent between learning SPSS and Tableau. What is this amount, and what is the cost of the insurance? (note: many possible answers)Lela must decide to go on a winter trip to norway with the hope of seeing northern light would yield a utility level of 2,000 but she has only a 50% chance that they will show during the days of her trip. making the trip without seeing the lights would yield a utility level of 100 and there is 50 % chance of this happening. what is lela's expected utilty if show goes on the trip? a. 2,100 b.1,050 c.42 d.9501. Now, imagine that Port Chester decides to crack down on motorists who park illegally by increasing the number of officers issuing parking tickets (thus, raising the probability of a ticket). If the cost of a ticket is $100, and the opportunity cost for the average driver of searching for parking is $12, which of the following probabilities would make the average person stop parking illegally? Assume that people will not park illegally if the expected value of doing so is negative. Check all that apply. A. 9% B. 18% C. 17% D. 10% 2. Alternatively, the city could hold the number of officers constant and discourage parking violations by raising the fine for illegal parking. Suppose the average probability of getting caught for parking illegally is currently 10% citywide, and the average opportunity cost of parking is, again, $12. The fine that would make the average person indifferent between searching for parking and parking illegally is ____ , assuming that people will not…
- Maximize Q=K^0.4L0.5 given the equation S+3K+4L=108A global equity manager is assigned to select stocks from a universe of large stocks throughout the world. The manager will be evaluated by comparing her returns to the return on the MSCI World Market Portfolio, but she is free to hold stocks from various countries in whatever proportions she finds desirable. Results for a given month are contained in the following table: Country Weight InMSCI Index Manager’sWeight Manager’s Returnin Country Return of Stock Indexfor That Country U.K. 0.29 0.24 22% 15% Japan 0.42 0.2 17 17 U.S. 0.23 0.22 10 13 Germany 0.06 0.34 7 15 Required: a. Calculate the total value added of all the manager’s decisions this period. (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.) b. Calculate the value added (or subtracted) by her country allocation decisions. (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount…14. Suppose an investment project has an NPV of $75 million if it becomes successful and an NPV of –$25 million if it is a failure. What is the minimum probability of success above which you should make the investment? Group of answer choicesa. 0.50b. 0.25c. 0.33d. 0.10
- Suppose that the consumer is asked to contemplate a gamble with a probability of 60% of winning Birr 10,000 with a utility of 10 utils, and a 40% probability of winning Birr 15,000 with a utility of 12 utils. A. What will be the expected income and expected utility of the consumer? B. If the utility of this consumer from a risk free alternative which gives him an income equal to the expected income of the risky alternative given above is equal to 11 utils, is this consumer risk lover or risk averse? Why? Illustrate your answer with the help of a diagramPls do fast and i will rate instantly for sure Solution must be in typed form Calculate the covariance for the returns of stock 1 and stock 2 given the six years of historical returns presented below: Given that the standard deviation of stock 1 and stock 2 in the table above is 0.2236 and 0.3225, respectively, use your answer in (A) to calculate and interpret the correlation between the 2 assets. Based on the characteristics of NSC and JSE above you are considering forming a portfolio comprising the two stocks such that you invest the following amounts: i. $40000 and $60000 in company NSC and JSE respectively in the first instance, and alternatively ii. $70000 and $30000 in company NSC and JSE respectively. C. What is the expected return and standard deviation of the portfolio in the two instances above? What is the expected return and standard deviation of the portfolio in the two instances above?Suppose Grace and Lisa are to go to dinner. Lisa is visiting Grace from outof town, and they are to meet at a local restaurant. When Lisa lived in town,they had two favorite restaurants: Bel Loc Diner and the Corner Stable. Ofcourse, Lisa’s information is out of date, but Grace knows which is betterthese days. Assume that the probability that the Bel Loc Diner is better isp > 1/2 and the probability that the Corner Stable is better is 1 - p. Naturedetermines which restaurant Grace thinks is better. Grace then sends amessage to Lisa, either “Let’s go to the Bel Loc Diner,” “Let’s go to theCorner Stable,” or “I don’t know [which is better].” Lisa receives the message, and then Grace and Lisa simultaneously decide which restaurant to go to. Payoffs are such that Grace and Lisa want to go to the same restaurant, but they prefer it to be the one that Grace thinks is better. More specifically, if, in fact, the Bel Loc Diner is better, then the payoffs from theiractions are as shown in the…