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An investor with assets of 10,000 has an opportunity to invest 5000 in a venture that is equally likely to pay either 15,000 or nothing. The investors utility function can be described by the log utility function U(x)=ln(x), where x is his total wealth.
a) What should the investor due?
b) Suppose the investor places a bet with a friend before making the investment decision. The bet is for 1000; if a fair coin lands heads up, the investor wins 1000, but if it lands tails up, the investor pays 1000 to his friend. Only after the bet has been resolved will the investor decide whether or not to invest in the venture. What is an appropriate strategy for the investor? If he wins the bet, should he invest? What if he loses the bet?
Suppose that the price of salt rises from 15 cents to 17 cents a kilogram. The quantity demanded decreases from 525 kilograms to 475 kilograms per month, and the quantity supplied increases from 525 kilograms to 600 kilograms per month.
What is the expected value and variance of R b. You are considering investing $150 in this asset. After 1 year, the value will be $150(1+R). What is the expected value and standard deviation of the value of your asset in 1 year
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In each case, draw a budget line that shows her available choices, and indicate her best choice by adding indifference curves. Assume that Jane only cares about the number of peanuts, and not about the size of the bag.
The firm currently uses 50,000 workers to produce 200,000 units of output per day. The daily wage per worker is $80, and the price of the firm's output is $25. The cost of other variable inputs is $400,000 per day.
Assume that all wages and prices are completely and immediately flexible. If the growth rate of the money supply is 5%, the growth rate of the velocity of money is 8% and the inflation rate is 9%, what is the Solow growth rate?
find the covariance between hourly wage X and education Y (measured in years of schooling) using the following summary statistics for a sample of 10 workers in a plant. xbar = 11.775 ybar=13.8 sum of (x-xbar)(y-ybar) = 103.55 sum of xy =1728.5
Suppose initially (period 0) the economy is endowed with $5 (billion) of capital stock and 10 (thousand) workers (let's ignore the units). We know that saving rate s is 0.15, population growth rate n is 0.01 and depreciation rate d is 0.09.
Assume a continuous-time solow growth model with no technical progress. The economy is closed and there is no government sector. Labor supply is given by L_t = e^nt, n>0. The average propensity to save out of GDP is s,, with 0
Determine when a competitively produced product generates negative externalities in production, the industry will,
Suppose the ratio of deposits that banks hold in the form of reserves is 7 percent. Suppose further that people want to hold 8 percent of their deposits in the form of cash. Then if the fed wants the money supply to be $6,228 billion, what is the ..
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