r=0% on deposits. Consumer needs to borrow $50 loan and the consumer has uncertain income of y=50,80,100 each with 1/3 chance. There may be multiple equilibrium R's. What is the R that's other than 0 or infinity? R=____%.
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- 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 hourYou have $1,000 that you can invest. If you buy Ford stock, you face the following returns and probabilities from holding the stock for one year: with a probability of 0.2 you will get $1,500; with a probability of 0.4 you will get $1,100; and with a probability of 0.4 you will get $900. If you put the money into the bank, in one year’s time you will get $1,100 for certain. a) What is the expected value of your earnings from investing in Ford stock? b) Suppose you are risk-averse. Can we say for sure whether you will invest in Ford stock or put your money into the bank?3. Assume W(F)=F². Probability of sun is 2/3 and hurricane, 1/3. Plot the IC that runs through Fs, Fh=(400, 400). Plot the constant expected consumption line that run through the same point. Is this person risk neutral or risk averse?
- 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 usefulDomingo has a total wealth of $500,000 composed of a house worth $100,000 and $400,000 in cash. He keeps the cash in a safe deposit box, so that it is completely safe. However, there is a 10% chance that his house will burn down by the end of the year and be worth nothing and a 90% chance that nothing will happen to it. Without insurance, the expected value of his end-of-year wealth is: Select one: a. $410,000. b. $490,000. c. $450,000. d. $485,000.Q.2 - While calculating risk, what are the 3 situations that prevail in the economy? (URGENT)
- Suppose we have 2 countries: Home and Foregin. Each has one asset: a banana tree. The bananas go bad after every month, so they cannot be saved. The prouction is as follows: {Home, Foreign} {200, 100} with probability 1/4. {100, 150} with probablity 3/4. A) What would be the expected yield for each country without trade? B) Countries can now trade shares of stock of any size. How much Foreign stocks will Home buy? How much stocks will Home trade in return?A person has an expected utility function of the form u(w) = w0.5 . He initially has wealth of $4. He has a lottery ticket that will be worth $12 with probability 1/2 and will be worth $0 with probability 1/2. What is his expected utility? What is the lowest price p at which he would part with the ticket?A risk-averse investor will: a. Always accept a greater risk with a greater expected return b. Only invest in assets providing certain returns c. Sometimes accept a lower expected return if it means less ri d. Never accept lower risk if it means accepting a lower expected return
- 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?Suppose that the probability of low demand is 0.75. (a) What is the maximum Expected Monetary Value (EMV)? (show calculation steps) (b) What is the Expected Value of Perfect Information (EVPI)? Hint: EVPI=EVwPI-maximum EMV.A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. What is the consumer's expected wealth one year from now? b. An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? c. Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing the above described uncertain situation. What is the maximum premium that the insurance company will be able to charge this consumer for its full insurance policy?