Assuming that monthly returns are approximately normally distributed, what is the probability that this market-neutral strategy will lose money over the next month

The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month.

Beta = 0.75

R-square = 0.65

Standard Deviation of Residuals = 0.06 (i.e., 6% monthly)

Assuming that monthly returns are approximately normally distributed, what is theprobability that this market-neutral strategy will lose money over the next month?

Assume the risk-free rate is .5% per month.

0.33853

Explanation:

Given that, the expected rate of return of the market-neutral position is equal to the risk-free rate plus the alpha:

0.5%+ 2.0% = 2.5%

Hence, since we assume that monthly returns are approximately normally distributed.

The z-value for a rate of return of zero is

−2.5%/6.0% = −0.4167

Therefore, the probability of a negative return is N(−0.4167) = 0.33853

1   all nations face the problem of scarcity because there are limited resources and unlimited wants. nations do not have enough factors of production to produce everything that their population wants. entrepreneurial resources initiate businesses to make new goods and services; labor resources produce goods and services.

2 there are four factors of production: natural resources, labor resources, capital resources, and entrepreneurial resources. natural resources are raw materials from nature that are used to produce goods. trees, water, and grains are natural resources. some natural resources, such as wheat and cattle, are renewable

3 wants

things that you do not need to have in order to survive, but would like to have

needs

things that you must have in order to survive

goods

physical products

services

tasks that a business perform for customers

resources

items that people can use to make or obtain what they need or want

determine

to settle or decide by choice of alternatives or possiblities

4 i really dont know

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