Suppose you can save $$14,000$ pre$-$tax during the current year, and you plan to invest the maximum $$7,000$ in either a Traditional or Roth IRA and invest the rest in a regular brokerage account. $$ Whether you choose the Traditional or Roth IRA, you$$ll invest your IRA$$s funds in stocks earning $8\%$ per year $($assume the returns are all capital gains, no dividends$)$ and the brokerage account$$s funds in a money market mutual fund paying $4\mathrm{.}5\%$ per year in interest $($assume the returns are all interest, no capital gains$)$ You intend to withdraw the money after $30$ years. Assume your income tax rate now and for the remainder of your life is $25\%,$ dividend tax rate is $15\%,$ and capital gains tax rate is $15\%.$ Calculate how much you will have net of all taxes if you withdraw all money from both accounts after $30$ years under these two options: $$ max out your Traditional IRA contribution with stocks and invest the rest in a money market mutual fund in your brokerage account $$ max out your Roth IRA contribution with stocks and invest the rest in a money market mutual fund in your brokerage account $$ Based on the assumptions provided, which choice will lead to more after$-$tax wealth after $30$ years? $$ a$)$ Explain why one option led to more after$-$tax wealth or why they ended up being the same $($whichever applies$).$