Exam 5: Risk and Return - Introduction

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It costs $1,000 to enter the following game of chance, which is based on the outcome of a coin toss (fair coin). If the coin comes up 'heads', you win and walk away with $2,000, which is a 100% rate of return. However, if the coin comes up 'tails', you lose and walk away with nothing, which is a - 100% rate of return. What is the expected return on this gamble?

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You are watching the Inter Milan vs. Barcelona Champions League game with your best friend Joe. You make a deal with Joe: If Barcelona wins, you walk away with $110. If Inter Milan wins, you walk away with $50. If you paid $100, what is your expected return assuming that each team has an equal probability of winning?

(Multiple Choice)
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If Microsoft stockholders expect either a 25% return or a 2% return, each with a 50% probability, and Apple Computer shareholders expect a 10% return with certainty, what is the expected return from a portfolio comprised of equal amounts of stock from both firms?

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Assume you currently hold one type of security and decide to construct a portfolio. Which of the following would provide the greatest degree of risk reduction?

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If the probability of a 20% return is 70% and the probability of a 3% loss is 30%, what is the expected return?

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It costs $1,000 to enter the following game of chance, which is based on the outcome of a coin toss (fair coin). If the coin comes up 'heads' then you win and walk away with $1,100, which is a 10% rate of return. If the coin comes up 'tails', then you lose and walk away with $900, which is a -10% rate of return. What is the variance of the returns?

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You bought a stock for $80.00 and sold it after three years for $95.00. While you held the stock it paid $3.00 in dividends. What is the annualized return?

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The table below shows market data for two stocks on two days.The two stocks are the components of a value weighted index like the S&P 500. Calculate the percentage change in the index over the two days. Stock 1 Stock 2 Date Price Shares Outstanding Price Shares Outstanding 1 \ 1 100 \ 2 150 2 \ 1.50 100 \ 2.20 150

(Multiple Choice)
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You bought 200 shares of Microsoft at $50 per share, 100 shares of IBM for $100 a share and 300 shares of Amazon.com for $25 per share. What is the portfolio weight on the Amazon.com holding?

(Multiple Choice)
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A company will earn 10% returns in a poor economy, 15% returns in a normal economy, and 25% returns in a booming economy. What is the standard deviation if there is a 25% chance of a poor economy and a 25% chance of a booming economy?

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A home insurance company anticipates the following pattern of claims, based on historical data. What is the expected claim on the next policy sold by the company? Type of Claim 1 2 3 4 Size of Claim \ 200,000 \ 50,000 \ 2,000 \ 0 Number of Claims out of 10,000 Policy Holders 1 10 200 9,789 Probability 0.0001 0.001 0.02 0.9789

(Multiple Choice)
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Which of the following would be the most useful to an investor who is evaluating securities to add to her portfolio?

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Consider the following bet: heads I pay you a dollar, tails you pay me a dollar. What is the expected payoff (return)of this bet? (Assume a fair coin.)

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If the probability of a 20% return is 70% and the probability of a 4% loss is 30%, what is the expected return to the nearest whole percentage?

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To earn a ________ return, you must incur ________ risk.

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After taking a reading-week trip to the Dominican Republic, you are now hooked on Cuban cigars. You decide to build a stock portfolio with two different cigar companies: Altadis'Behike(Altadis) Gurkha'sHis Majesty's Reserve (Gurkhas) You purchase 1,000 Altadis' shares, each at a price of $45. You also purchase 1,200 Gurkha's shares, each at a price of $65. Calculate Altadis' portfolio weight.

(Multiple Choice)
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If General Motors expects profits of $50 million in a booming economy, what is the expected profit during a recession if this is the only other possibility and the overall expected profit is $35 million? The probability of a recession is 70%.

(Multiple Choice)
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You pay $1,000 to flip a two-sided, fair coin at the local fair. If you flip heads, you walk away with $3,000, a return of 200%. However, if you flip tails, you walk away with $250, a return of -75%. What is the standard deviation of the returns?

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Frank's Franks went public and opened at $15.00 per share. One year later the stock was selling for $17.50 per share. What was the holding period return if during the year Frank sent out $1.25 per share in dividends?

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A year ago, you purchased IBM stock for $94 a share. Today, IBM stock is selling for $93 a share. Additionally, you just received a check for $1.20 per share. Your holding period return is

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