Exam 14: The Basic Tools of Finance: Part A

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What does "random walk" mean? According to the efficient markets hypothesis,should stock prices follow a random walk?

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A random walk means the path of a variable is impossible to predict. According to the efficient markets hypothesis stock prices should follow a random walk because they reflect all publicly available information.

Bill gets medical insurance and then exercises less.Lilly has health concerns and so applies for medical insurance.Identify each of these as moral hazard or adverse selection.

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Bill’s behavior illustrates moral hazard. Lilly’s illustrates adverse selection.

If a savings account pays 7% interest,then according to the rule of 70 how long will it take for the account balance to double?

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Approximately 10 years

Write the rule of 70.Suppose that your great-great-grandmother put $50 in a savings account 100 years ago and the account is now worth $1,600.Use the rule of 70 to determine about what interest rate she earned.

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Suppose your bank account pays a 5% interest rate.You are considering purchasing a share of stock in DH Corporation for $250.The stock will pay you a $10 dividend at the end of years 1,2,3,4,and 5.You expect to be able to sell the stock at the end of year 5 for $300.Is DH a good investment? Provide evidence to support your answer.

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Scenario 27-1 Lisa has a utility function Scenario 27-1 Lisa has a utility function   where W is Lisa's wealth in millions of dollars and U is the utility she obtains. -Refer to Scenario 27-1.Suppose Lisa is faced with a choice between two options.With option A Lisa receives a guaranteed $9 million.With option B Lisa faces a lottery that pays $4 million with probability 0.4 and pays $16 million with probability 0.6.Given Lisa's utility function,will she prefer option A or option B? Provide evidence to support your answer. where W is Lisa's wealth in millions of dollars and U is the utility she obtains. -Refer to Scenario 27-1.Suppose Lisa is faced with a choice between two options.With option A Lisa receives a guaranteed $9 million.With option B Lisa faces a lottery that pays $4 million with probability 0.4 and pays $16 million with probability 0.6.Given Lisa's utility function,will she prefer option A or option B? Provide evidence to support your answer.

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A company has an investment project that will cost $2 million today and yield a payoff of $3 million in 5 years.If the interest rate is 9%,should the firm undertake the project? Show evidence to support your answer.

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Scenario 27-1 Lisa has a utility function  Scenario 27-1 Lisa has a utility function   where W is Lisa's wealth in millions of dollars and U is the utility she obtains. -Refer to Scenario 27-1.Use the following diagram to graph Lisa's utility function for  0  \leq  W  \leq  25   where W is Lisa's wealth in millions of dollars and U is the utility she obtains. -Refer to Scenario 27-1.Use the following diagram to graph Lisa's utility function for 0 \leq W \leq 25  Scenario 27-1 Lisa has a utility function   where W is Lisa's wealth in millions of dollars and U is the utility she obtains. -Refer to Scenario 27-1.Use the following diagram to graph Lisa's utility function for  0  \leq  W  \leq  25

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Your boss asks you to do fundamental analysis of a corporation.What value is she asking for and how would you estimate this value?

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Suppose you place $500 into a savings account that will pay you 6% interest per year.What will be the future value of the savings account in 15 years?

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Write the formula for finding the future value in n years of $x today.

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Suppose you invest $10,000 at 7% interest to be withdrawn by your heirs in 100 years.According to the rule of 70,approximately how much will your heirs be able to withdraw?

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Scenario 27-1 Lisa has a utility function Scenario 27-1 Lisa has a utility function   where W is Lisa's wealth in millions of dollars and U is the utility she obtains. -Refer to Scenario 27-1.Suppose Lisa is faced with a choice between two options.With option A Lisa receives a guaranteed $9 million.With option B Lisa faces a lottery that pays $16 million with probability P and pays $4 million with probability (1-P).Given Lisa's utility function,how high does P need to be before Lisa will prefer option B? where W is Lisa's wealth in millions of dollars and U is the utility she obtains. -Refer to Scenario 27-1.Suppose Lisa is faced with a choice between two options.With option A Lisa receives a guaranteed $9 million.With option B Lisa faces a lottery that pays $16 million with probability P and pays $4 million with probability (1-P).Given Lisa's utility function,how high does P need to be before Lisa will prefer option B?

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If a savings account pays 3.5% interest,then according to the rule of 70 how long will it take for the account balance to double?

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How does moral hazard matter in the market for insurance?

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Should a person who is risk averse hold a portfolio with no stock and only bonds? Explain.

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Suppose you place $1,000 into a savings account that will pay you 4% interest per year.What will be the future value of the savings account in 10 years?

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If the interest rate is 8 percent,then what is the present value of $5,000 to be received in ten years?

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Can insurance be thought of as diversification? Defend your answer.

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Suppose the interest rate is 3% and that you are to receive three annual payments of $1,000,with the first payment today,the second payment one year from now,and the third payment two years from now.What is the present value of this stream of payments?

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