Suppose that Alexander Co$.,$ a U$.$S$.-$based MNC$,$ is trying to decide the location of a new project in which they plan to invest. Alexander can invest in the new project in either the United States or Germany. Upon completion, the project will comprise $40\mathrm{.}00\%$ of Alexander$$s total invested funds, with the remaining $60\mathrm{.}00\%$ being invested in the United States.

Forecasted information regarding the proposed project over a $5$year period, including the $60\mathrm{.}00\%$ of funds invested in the existing business, are shown in the following table:

Existing Business

Characteristics of Proposed Project

Located in United States

Located in Germany

Mean expected annual return on investment $($after taxes$)20\mathrm{.}00\%25\mathrm{.}00\%25\mathrm{.}00\%$

Standard deviation of expected annual after$-$tax returns on investment $0\mathrm{.}10\mathrm{.}090\mathrm{.}1$

Correlation of expected annual aftertax returns on investment with aftertax returns of existing U$.$S$.$ business $0\mathrm{.}80\mathrm{.}02$

In the previous stage of this problem you found that the expected returns for either portfolio $$ the potential portfolio with the Germany$-$based project and the potential portfolio with the U$.$S$.-$based project $$ were identical. Thus, Alexander wishes to analyze the risk involved with investing in each of the projects, as measured by the variance of their overall portfolio under each scenario.

If Alexander invests in the U$.$S$.-$based project, the overall variance of their portfolio would be $\_\_\_\_\_\_\_\_\_\_.$ If Alexander invests in the Germany$-$based project, the overall variance of their portfolio would be $\_\_\_\_\_\_\_\_\_\_\_.$