correct Question 19 Imagine your utility is given by In(w), where w is the amount of wealth you have and "In" is the natural log function. You are offered the following game: a dealer will flip a fair coin. If it lands on heads, you will get $247, but if lands on tails, you will get $57. What is the most that you would be willing to pay to play this game? Hint: Think about the certainty equivalent. Enter your answer with one decimal point and NO dollar signs or commas (i.e., 30.4, not $30.38). The question will allow for slight rounding errors. 94.5
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- Mf. Mean variance utility defines risk using certainty equivalent wealth. The lower the certainty equivalent wealth, the lower the mean variance utility. uestion Select one: O True O False Under constant relative risk aversion, the lower the certainty equivalent wealth is than the average wealth of a lottery the riskier the lottery. Select one: O True O False Given a normally distributed risky asset and a risk free asset, a person with a lower CRRA risk aversion coefficient will put less in the risk free asset than a person with a higher CRRA risk aversion. Select one: O True O False Greater risk aversion means a plot of utility vs. wealth would look less curved. Select one: O True O False The greater the wealth, the less the utility of the next dollar of wealth. Select one: O True O False People don't like risk because it means they get poorer when they're poorer and richer when they're rich. In fact, a financial security…Microeconomics Wilfred’s expected utility function is px1^0.5+(1−p)x2^0.5, where p is the probability that he consumes x1 and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.4 and $3700 with probability 1 - p. Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is equal to ___ (please round your final answer to two decimal places if necessary)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?
- Give typing answer with explanation and conclusion Suppose that the government must undertake an irreversible policy decision regarding the extent of air pollution regulation. The government is making this decision in a situation of uncertainty, however. In particular, there is some probability p that the benefits will remain the same as they are this year for all future years, but there is some probability 1 - p that benefits will be less in all future years. If we take into consideration the multiperiod aspects, should we err on the side of overregulation or underregulation, compared to what we would do in a single-period choice?Suppose Caroline is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds.CombinationFraction of Portfolio in Diversified StocksAverage Annual ReturnStandard Deviation of Portfolio Return (Risk)(Percent)(Percent)(Percent)A 0 1.50 0B 25 3.00 5C 50 4.50 10D 75 6.00 15E 100 7.50 20There is a relationship between the risk of Caroline's portfolio and its average annual return.Suppose Caroline currently allocates 75% of her portfolio to a diversified group of stocks and 25% of her portfolio to risk-free bonds; that is, she chooses combination D. She wants to reduce the level of risk associated with her portfolio from a standard deviation of 15 to a standard deviation of 5. In order to do so, she must do which of the following? Check all that apply. Sell some of her stocks and use the proceeds to purchase…The Financial Markets proficiency has been more inclined to interest rates productssuch as loans and term deposits in Zambia than structured products. With the adverseeconomic repercussions that countries, including Zambia experienced during theoutbreak of COVID-19, the market has moved to structured products provision such asoptions, forwards, to mention but a few. The implementation of risk mitigation strategicby most companies made the financial market to enhance structured products that aresuitable to hedge all risks arising from investments and business operations.Assuming Zambeef employees you as the Investment Hedging Director to manage theinvestment in Zambia, you approach your bank, Standard Chartered Bank to structurean option to help hedge Zambeef future shares transactions. You enter into a 5 yearscall option contract at an exercise price of K350 and paid option premium amounting toK50. Three years later, the company has an increase in operational needs and decidesto assess…
- Seung’s utility function is given by U = ln(C), where C is consumption. She makes $30,000 per year and enjoy jumping out of airplanes. There's a 5% chance that in the next year, she will break both legs, incur medical costs of $15,000, and lose an additional $5,000 from missing work. (a) What is Seung’s expected utility without insurance? (b) Suppose Seung can buy insurance that will cover the medical expenses but not the forgone part of her salary. How much would an actuarially fair policy cost, and what is her expected utility if she buys it? (c) Suppose Seung can buy insurance that will cover her medical expenses and forgone salary. How much would such a policy cost if it's actuarially fair, and what is her expected utility if she buys it?Prospect Y = ($6, 0.25 ; $15, 0.75) If Will's utility of wealth function is given by u(x)=x0.25, what is the value of CE(Y) for Will? (In other words, what is Will's certainty equivalent for prospect Y?) (The certainty equivalent represents the maximum amount a person would be willing to pay to acquire a risky prospect, and equivalently, the lowest price for which they would be willing to sell a risky prospect if they already owned it) (Note: The answer may not be a whole number; please round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully)6. During an evolution, the minimum, maximum, and average fitness of a population is 1.2, 270, and 40, respectively. If the most fit individual is to be 3 time more likely than the average fit individual to be selected, and the least fit individual is l1/3 as likely as the average fit individual to be selected, what is the scaled fitness of an individual whose raw fitness is 58.
- Enumerate THREE reasons as to why expected utility of wealth mignt be equally good or even a better measure than expected wealth in evaluating investment opportunities.(maximum of tiwo sentences per reason)Seung's utility function is given by U - C^(1/2), where C is consumption and C^(1/2) is the square root of consumption. She makes $50,625 per year and enjoys jumping out of airplanes. There's a 5% chance that in the next year, she will break both legs, incur medical costs of $30,000, and lose an additional $5,000 from missing work. a. What is Seung's expected utility without insurance? b. Suppose Seung can buy insurance that will cover the medical expenses but not the forgone part of her salary. How much would an actuarially fair policy cost, and what is the expected utility if she buys it? Policy cost: $___ Expected utility: ___ c. Suppose Seung can buy insurance that will cover her medical expenses and foregone salary. How much would such a policy cost if it's actuarially fair, and what is her expected utility if she buys it? Policy cost: $___ Expected Utility: ___Prospect Y = ($4, 0.25 ; $16, 0.75) If Will's utility of wealth function is given by u(x)=x0.25, what is the value of U(EV(Y)) for Will? (In other words, how much utility would Will get were he to receive the expected value of Y?) (Note: The answer may not be a whole number; please round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully)