$1.$An investment will pay you $$105,765\mathrm{.}03$ in $12$ years. If you can earn $10\%$ per year on your investments, what is the persent value of this investment?

$2.$ When you retire, you want to withdraw $$100,000$ per year from your retirement account. You wish to have enough money so you can do this for $25$ years aftee retirement. You can earn $7\%$ year on your account. How much do you need to have in your account when you retire?