Exam 5: Understanding Risk

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Which of the following statements is most correct?

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An individual faces two alternatives for an investment: Asset A has the following probability return schedule:

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Comparing a lottery where a $1 ticket purchases a chance to win $1 million with another lottery in which a $5,000 ticket purchases a chance to win $5 billion, we notice many people would participate in the first but not the second, even though the odds of winning both lotteries are the same.We can perhaps best explain this outcome by:

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What is the difference between standard deviation and value at risk? Consider the difference between purchasing a one-year bank CD compared with purchasing a homeowner's insurance policy.Which scenario do you believe is more likely to consider value at risk over standard deviation? Explain.

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Changes in general economic conditions usually produce:

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Consider the following two investments.One is a risk-free investment with a $100 return.The other investment pays $2000 20% of the time and a $375 loss the rest of the time.Based on this information, answer the following: (i) Compute the expected returns and standard deviations on these two investments individually. (ii) Compute the value at risk for each investment. (iii) Which investment will risk-averse investors prefer, if either? Which investment will risk- neutral investors prefer, if either?

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What would be the standard deviation for a $1000 risk-free asset that returns $1,100?

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If ABC Inc.and XYZ Inc.have returns that are perfectly positively correlated:

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Explain why a company offering homeowners insurance policies would want to insure homes across a wide geographic area.

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An investor puts $1,000 into an investment that will return $1,250 one-half of the time and $900 the remainder of the time.The expected return for this investor is:

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An investment pays $1,200 a quarter of the time; $1,000 half of the time; and $800 a quarter of the time.Its expected value and variance respectively are:

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Suppose that Fly-By-Night Airlines Inc., has a return of 5% twenty percent of the time and 0% the rest of the time.The expected return from Fly-By-Night is:

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Suppose a saver is looking for the opportunity to make a very large return in a very short period of time.Would you recommend diversification for this individual?

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The difference between standard deviation and value at risk is:

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The variance of a portfolio of assets:

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The variance of a portfolio containing n assets with independent returns:

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The main reason for diversification for an investor is to:

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A $600 investment has the following payoff frequency: a quarter of the time it will be $0; three quarters of the time it will pay off $1000.Its standard deviation and value at risk respectively are:

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An individual owns a $100,000 home.She determines that her chances of suffering a fire in any given year to be 1/1000(0.001).She correctly calculates her expected loss in any year to be $100.Explain why this really isn't a good way to measure her potential for loss.

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Diversification is the principle of:

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