Jean invested $$348,279$ in a fixed deposit at $7\mathrm{.}5\%$ per annum. After $2$ years, the bank increased the interest rate to $9\%$ per annum, which would be applicable to the current fixed deposits as well. How much money will Jean receive in excess of her expected $$500,000$ by the end of $5$ years?

$$35,871$

$$21,223$

$$25,534$

$$35,701$