$1.$"Assume that you are $25$ years old today, and that you are planning on retirement at age $65.$ Your current salary is $$68000$ and you expect your salary to increase at a rate of $3\%$ 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 $26$st birthday and will be $10\%$ of this year's salary. You expect to deposit $10\%$ of your salary each year until you reach age $65.$ Assume that the rate of interest is $8\%.$The present value $($PV$)($at age $25)$ of your retirement savings is $\_\_\_\_\_\_\_\_.$

$2.$"A rich donor gives a hospital $$100000$ one year from today. Each year after that, the hospital will receive a payment $1\%$ larger than the previous payment, with the last payment occurring in $7$ years' time. What is the present value $($PV$)$ of this donation, given that the interest rate is $3\%?$