A project has an expected NPV of $50,000 with a standard deviation of the NPV of $20,000. Assume that NPV is normally distributed. What is the probability that the project will have a net present value greater than $60,000?

A project has an expected NPV of $50,000 with a standard deviation of the NPV of $20,000. Assume that NPV is normally distributed. What is the probability that the project will have a net present value greater than $60,000?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 2P

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Concept explainers

Risk Management Techniques

Risk management is the procedure of recognizing, analyzing, monitoring, and preventing the risks and threatening factors of investments and business. Risks can arise from various factors including internal controls, market changes, natural disasters, and failure in productions. Risk management techniques enable entities to control and minimize the risks as well as the threatening factors of the business and it also helps to improve the business.

Question

A project has an expected NPV of $50,000 with a standard deviation of the NPV of $20,000. Assume that NPV is normally distributed.
What is the probability that the project will have a net present value greater than $60,000?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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