Wednesday, October 14, 2015

Risk #2

An investor that buys stock in a company expect to earn a return on their investments. However, it is possible that the project or investment may lose money for the company or investor. Exposure to a possible loss occurs at the time an investment is made. To compensate for this exposure to risk, an investor expects a higher possible return on investment.

For example. Suppose that economists predict a 40% chance for a boom economy in the coming year, a 20% chance for a normal economy, and a 40% chance for a recession. Suppose that in a boom economy, investor is expected to earn a 70% annual rate of return on investment, a 20% return in a normal economy and will have a negative 60% return in a recession. The question now becomes, what is the expected rate of return for Investor in the coming year? To calculate the expected rate of return E(k), we calculate a weighted average of the possible returns that investor could earn.


State of Economy       Probability     Possible Return Weighted Possible                                            Boom                                    0.4                      70%                        28%                                                            Normal                                 0.2                      20%                          4%                                                    Recession                             0.4                     -60%                       -24%
                                                            Expected Return  E(k)    =   8%

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