Assume that you are $30$ years old today, and that you are planning on retirement at age $65.$ Your current salary is

$$45,000$ and you expect your salary to increase at a rate of $5\%$ per year as long as you work. To save for your

retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on

your $31$st birthday and will be $8\%$ of this year's salary. Likewise, you expect to deposit $8\%$ of your salary each year

until you reach age $65.$ Assume that the rate of interest is $10\%.$

The present value $($PV$)($at age $30)$ of your retirement savings is closest to:

A$.$ $$57,868$

B$.$ $$28,934$

C$.$ $$63,655$

D$.$ $$40,508$