Pretend you have $$1,000,000$ in cash now and you want this portfolio to grow to $$3,500,000$ in $20$ years so you can purchase a beach house.$$ Additionally, you are hoping to earn $$30,000$ in income from this portfolio to help supplement your current salary.$$

The Expected Market Assumptions are:

Large Cap Stocks $-$ expected return $8\%-$ standard deviation of $15\%-$ income yield of $3\%$

Small Cap Stocks $-$ expected return $10\%-$ standard deviation of $18\%-$ income yield of $3\mathrm{.}5\%$

International Stocks $-$ expected return $12\%-$ standard deviation of $21\%-$ income yield of $4\%$

Emerging Markets Stocks $-$ expected return $15\%-$ standard deviation of $26\%-$ income yield of $2\mathrm{.}5\%$

Bonds $-$ expected return $4\%-$ standard deviation of $3\%-$ income yield of $4\%$

Commodities $-$ expected return $15\%-$ standard deviation of $28\%-$ income yield of $1\mathrm{.}5\%$

Cash $-$ expected return $0\mathrm{.}5\%-$ standard deviation of $0\%-$ income yield of $0\mathrm{.}5\%$