Suppose you have $1,000,000 in cash to invest and your goal is to have your investment portfolio grow to $2,000,000 in 20 years. Also, you need to earn $30,000 in income from your portfolio to supplement your salary.

The market assumptions are:

Large cap stocks: Expected Return = 8% - Standard Deviation = 15% - Income Yield = 3%

Small cap stocks: Expected Return = 10% - Standard Deviation = 18% - Income Yield = 3.5%

International stocks: Expected Return = 12% - Standard Deviation = 21% - Income Yield = 4%

Emerging market stocks: Expected Return = 15% - Standard Deviation = 26% - Income Yield = 2.5%

Bonds: Expected Return = 4% - Standard Deviation = 3% - Income Yield = 4%

Commodities: Expected Return = 15% - Standard Deviation = 28% - Income Yield = 1.5%

Cash: Expected Return = 0.5% - Standard Deviation = 0% - Income Yield = 0.5%

Construct a portfolio with an initial investment of $1,000,000 that has a terminal value of $2,000,000 after 20 years, and income of $30,000. Show your calculations and describe the risk that the portfolio will incur.