$12.$ Assume that you are $30$ years old today, and that you are planning on retirement at age $65.$ You expect your salary to be $$51,000$ one year from now and you also 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 future value $($FV$)$ at retirement $($age $65)$ of your savings is closest to

A$)$ $$1,843,052$

B$)$ $$1,290,136$

C$)$ $$2,027,357$

D$)$ $$921,526$