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Consider a Stock with a 50 Percent Probability of Zero

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Consider a stock with a 50 percent probability of zero net earnings and a 50 percent probability of net earnings equal to $20 per share each year continuously in the future. Furthermore, assume that people are risk averse. That is, they will have to be compensated for uncertainty accompanying variation in their future wealth. If the interest rate were 5 percent, how much would people be willing to pay for a share of this stock?


Definitions:

Compounds Interest

Interest calculated on the initial principal as well as the accumulated interest of previous periods of a deposit or loan.

APR Loans

The Annual Percentage Rate of a loan encompasses the yearly interest rate plus any additional fees, representing the actual cost of borrowing.

EAR

Effective Annual Rate; the actual interest rate an investor or borrower receives or pays after compounding interest is taken into account over a year.

Actual Rate

The interest rate that is actually earned or paid on an investment, loan, or other financial product.

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