1. Robert has a lifetime wealth of £225,000 and faces the following gamble: -50 per cent chance of winning £775 50 per cent chance of losing £725 Explain how expected utility theory and prospect theory differ in the way they predict Robert will assess this gamble.
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- What are some ways that someone looking for a loan might reassure a bank that is faced with imperfect information about whether the borrower will repay the loan?B. Richard's nickname is "No-Risk Rick" because he is an extremely risk-averse individual. His utility function is given by U(W) = √W. where W represents his current wealth in dollars. He currently has $100 worth of property, but there is a 50% chance that all of it will be stolen. What is Richard's expect wealth and expected utility of wealth? An insurance company offers to reimburse Richard for his loss if the money is stolen. What is the most that Richard would pay for such a policy? Explain. Please solve this with in 1 hourA. From the graph below explain how an insurance plan which provides the buyer a $15,000 wealth level, regardless of any uncertain event, is a good deal for the buyer? In other words, what does the distance between points D’ and C’ represent? Note we are referring to D prime, not D. B. Considering the graph below, can you explain the difference between expected utility and certainty utility?
- Suppose you have a house worth $200,000 (wealth). Your utility of wealth is given by U(w) = ln(w). There is a small chance that a fire will damage your house causing a loss of $75,000. You estimate there is a 2% chance of fire. a) What is your expected wealth? b) What is your expected utility from owning the house? c) Suppose you can add a fire detection/prevention system to your house. This would reduce the chance of a bad event to 0 but it would cost you $C to install. What is the most you are willing to pay for the security system? (Here is an identity you will find useful2. Consider an individual with a current wealth of $100,000 who faces the prospect of a 25% chance of losing $20,000 through theft of her car during the next year. If the person’s utility function is U(X) = ln(X), where X is wealth: a. calculate expected utility without insurance, b. calculate the actuarially fair premium for full insurance, c. calculate expected utility with full insurance at the actuarially fair premium d. calculate the maximum amount the individual would pay for full insurance.1. What is “implied volatility”, how is it calculated, and how can it be used? (1000 words)
- 6. Risk-averse people will choose different asset portfolios than people who are not risk averse. Over a long period of time, we would expect thatA.every risk-averse person will earn a higher rate of return than every non-risk averse person.B.every risk-averse person will earn a lower rate of return than every non-risk averse person.C.the average risk-averse person will earn a higher rate of return than the average non-risk averse person.D.the average risk-averse person will earn a lower rate of return than the average non-risk averse person. 7.The real exchange rate equals the relative A.price of domestic and foreign currency.B.price of domestic and foreign goods.C.rate of domestic and foreign interest. D.None of the above is correct. 8.According to the theory of liquidity preference, an increase in the price level causes theA.interest rate and investment to rise.B.interest rate and investment to fall.C.interest rate to rise and investment to fall.D.interest rate to fall and…Angie owns an endive farm that will be worth $90,000 or $0 with equal probability. Her Bernouilli utility function is u(w) =√w, where w is her wealth level (sum of initial wealth and the worth of the endive farm). 1. Suppose her firm is the only asset she has, that is, she has no initial wealth. What is the lowest price P at which she will agree to sell her endive farm before she knows how much it will be worth? 2. Redo part (1) assuming that she has $160,000 in her bank safe. 3. Compare and discuss your results in parts (1) and (2). What relationship can you find between Angie’s initial wealth level (zero versus $160,000) and her risk aversion?3. You are in the market for a used car and decide to visit a used car dealership. Youknow that the Blue Book value of the car you are looking at is between $14,000 and$18,000.a. If you believe the dealer knows as much about the car as you do, how much areyou willing to pay? Why? Assume that you care only about the expected value ofthe car you will buy and that the car values are symmetrically distributed.b. Now you believe the dealer knows more about the car than you do. How much areyou willing to pay? Why? How can this asymmetric information problem beresolved in a competitive market?
- Problem 17-03 (algo) Suppose that a risk-free investment will make three future payments of $500 in 1 year, $500 in 2 years, and $500 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 16 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 18 percent? $First, explain the concept of risk-return trade off. How do you define return? How do you define risk? What does the trade-off says, in you own words? show the application of the risk-return trade-off for pensions choice. Does the existence of a risk-return trade-off means that all the investors select the same type of pension? show how the selection of the adequate risk-return trade-off is dependant on the investor’s risk-aversion. Detail the influence of other objective factors such as age, economic situation and personal wealth. As you can see, understanding the risk-return trade-off is essential in finance. A popular phrase in Finance is “there is no such thing as a free lunch”. Try to explain this expression based on your new understanding of the risk-return trade off. Last, reflect on how the risk-return trade-off can be applied to your own life. Identify an area in your professional life where you can apply the risk-return trade-off approach. Then find an area in your personal…Economics What is the probability of default if the risk premium demanded by bond holders is 2% and the return on the riskless bond is 5% (round to the nearest decimal point) Savet a. 1.9% b. All of the answers here are incorrect Oc 1.3% Od. 21% Oe2.8%