$$Calculate two individuals total amount of retirement

assets after $30$ years of investing using the following two examples

to display and articulate the effect of compounded fees on two

different individuals' retirement accounts with the exact same

mutual funds. The two mutual funds have the same before

expense$$rate of return, but one mutual fund charges a higher

expense ratio than the other. Describe what effect fees have on the

two different individuals' retirement assets:

$($a$)$

$$Yearly Savings: $$15,000,$ Inflation Rate: $2\%,$ Rate of

Return:$(8\mathrm{.}15\%-\mathrm{.}15\%=8\%),$ Expense Ratio of Mutual Fund: $\mathrm{.}15\%,$

Periods: $30$ years

$($b$)$

$$Yearly Savings: $$15,000,$ Inflation Rate: $2\%,$ Rate of

Return:$(8\mathrm{.}15\%-\mathrm{.}65\%=7\mathrm{.}50\%)($It is lower than example $($a$)$ due to the

increased expense ratio$),$ Expense Ratio of Mutual Fund: $\mathrm{.}65\%,$

Periods: $30$ years