Microeconomics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (9th Edition) (Pearson Series in Economics)
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Chapter 5, Problem 4E
To determine

The expected value of the lottery and the variance.

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Consider an investment that pays off $700 or $1,600 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Fill in the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (.e., 20% not 0.20). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value Percent Increase Standard Deviation 1150 S 28 % $ 8 % $ Expected Return N/A Doubled Tripled : #
Suppose an investor is concerned about a business choice in which there are three prospects; the probability and returns are given below: Probability 0.5 0.3 0.2 The expected value of the uncertain investment is $ dollar.) Return $110 30 - 30 (Round your answer to the nearest
Given a choice between two investments with the same expected payoff: a. Most people will choose the one with the lower standard deviation b. Most people will opt for the one with the higher standard deviation c. Most people will be indifferent since the expected payoffs are the same d. Most people will calculate the variance to assess the relative risks of the two choices
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