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- Prospect X = ($4, 0.04 ; $15, 0.05 ; $24, 0.01 ; $38, p) What is the expected value of prospect X? (Hint 1: To answer this question, you'll need to first determine the value of "p"). (Hint 2: To determine "p", remember that probabilities sum to 1). (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)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 usefulSuppose you bought a condo for $100,000 financing it with a $20,000 down payment of your own funds and an $80,000 mortgage loan from a bank. Now, instead of (a) or (b), suppose the value of the condo fell from $100,000 to $70,000. Assuming you paid $100,000, financing it with $20,000 of your own money and $80,000 with a mortgage loan, and ignoring interest and other costs, calculate your rate of return on your asset (ROA) and your rate of return on equity (ROE). What is the value of your equity stake in the condo after the price fall?
- Robin Hood is 23 years old and has accumulated $4,000 in her self-directed defined contribution pension plan. Each year she contributes $2,000 to the plan, and her employer contributes an equal amount. Robin thinks she will retire at age 67 and figures she will live to age 81. The plan allows for two types of investments. One offers a 3.5% risk-free real rate of return. The other offers an expected return of 10% and has a standard deviation of 23%. Robin now has 5% of her money in the risk-free investment and 95% in the risky investment. She plans to continue saving at the same rate and keep the same proportions invested in each of the investments. Her salary will grow at the same rate as inflation. What is the expected value of Robin's risky assets at retirement?You are presented 2 investment options. Which one gives you a better return? In option A, you pay $3,000 today and receive $750 at the end of the year for the next 5 years. In option b, you pay $2,000 today and receive $3,000 at the end of five yearsI get a stock tip that Canada Goose is about to diversify their products by releasing a line of summer swimwear. I have $3,000 of my own money that I invest in Canada Goose stock. Suppose that their swimwear does very well and the value of their stock rises by 50%. How much money have I made (in dollar terms)?
- Imagine that at age 25 you have the choice to begin to deposit $8000 per year into your 401k. You will retire at 65. The 401k grows at (an average of) 6% per year (it compounds yearly). Say that your utility for money is just the value of money: u(x) = x. Say that you have a “standard” discount rate of 0.95, which choice would an individual make? What is the implied break-even \beta if you have quasi-hyperbolic preferences?Sylvie lives in Ontario and has always contributed to the Canada Pension Plan (CPP). She is ready to retire at age 65 and is looking to receive the maximum CPP benefit. Joan is Sylvie's twin sister, who moved to Quebec when she was 18 to go to Concordia and has been there since. Both know that the Canada Pension Plan (CPP) and Quebec Pension Plan (QPP) are contributory pension plans that you receive based on the dollar value of contributions and the number of years that you contribute to the plan during your employment years. Since contributions can fluctuate over the years (ie. loss of employment, years in university etc.), you can exclude certain amounts in order to receive a higher pension at retirement based on drop-out provisions. Name three exclusions that Sylvie and Joan may be eligible for to increase their CPP/QPP pension at retirement under the pension drop-out provisions. Sylvie (CPP)- 1. 2. 3. Joan (QPP) 1. 2. 3.You live in an area that has a possibility of incurring a massive earthquake, so you are considering buyingearthquake insurance on your home at an annual cost of $180. The probability of an earthquake damagingyour home during one year is 0.001. If this happens, you estimate that the cost of the damage (fully coveredby earthquake insurance) will be $160,000. Your total assets (including your home) are worth $250,000.
- 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)Jane, who works for the economic research department in a multinational corporation, is preparing a report for the advisory board of the company. The report intends to clarify in which country they should invest given the expected change in demand. The objective is, of course, to identify the country with greater change in demand. Jane analyzes countries A and B that currently have the same demand. She calculates the partial derivatives of demand with respect to income and finds that for country A it is greater than for country B. Demand in country A is measured in pounds and in country B in Kg. Can we conclude that if the only change expected in both countries is a change in income of 3.5%, then the company should invest in country A? no, we should calculate instead the income elasticity for the consumption of the good the company sells in each country. There is no statistic that can illuminate the advisory board on this problem. yes, because the derivative tells us that for each…hand written asap
