Exam 5: Understanding Risk

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Which of the following statements is most correct?

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Which of the following would not be included in a definition of risk?

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An individual who is risk-averse:

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Consider an individual who plans to buy a new home. He has two options: (i) pay for mortgage insurance (that insures the lender in case the borrower defaults), or (ii) pay the lender a higher interest rate for the mortgage. Describe how these two options are related to the concept of risk premium and the lender's aversion to risk. Why does the interest rate on the mortgage differ in these two options?

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When considering different investments, a risk-averse investor is most likely to focus on purchasing:

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In order to benefit from diversification, the returns on assets in a portfolio must:

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Given a choice between two investments with the same expected payoff most people will:

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Up to what amount would a risk-neutral gambler pay to enter a game where on the flip of a fair coin, if you call the correct outcome the payoff is $2,000?

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Consider the following two assets with probability of return = Pi and return = Ri. Calculate the expected return for each and the standard deviation. Which one carries the greatest risk? Why? Consider the following two assets with probability of return = Pi and return = Ri. Calculate the expected return for each and the standard deviation. Which one carries the greatest risk? Why?

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If the returns of two assets are perfectly positively correlated, an investor who puts half of his/her savings into each will:

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An investor practicing hedging would be most likely to:

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A $500 investment has the following payoff frequency: half of the time it will pay $350 and the other half of the time it will pay $900. Its standard deviation and value at risk respectively are:

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Professional gamblers know that the odds are always in favor of the house (casinos). The fact that they gamble says they are:

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Explain why returns on assets compensate for systematic risk but not for idiosyncratic risk.

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Systematic risk:

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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 with a large spread between possible payoffs will generally have:

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Apply the definition of risk provided in the textbook to an individual's decision to purchase a car insurance policy. Suppose that the individual has two possibilities: no accident ($0 gain/loss) and accident (-$30,000 loss). If the probability of an accident is lower than the probability of an accident occurring (say the probability of an accident is 10%), then why do people buy car insurance? How is this related to the concept of value at risk and the time horizon of investment decisions?

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Which of the following statements is true?

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You buy an asset for $2,500. The asset will return $3,300 half of the time and $2,700, the other half. The expected return is 20% (a gain of $500) and the standard deviation is 12% ($300). How would using $1,250 of borrowed funds change the expected return and standard deviation specifically?

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