Please show calculation how to solve the problems:

1. You need $10,000 per year for 5 years, beginning three years from today. How much should you invest today if your account earns 6 percent compounded annually?

2. You deposit $1000 into an account paying a nominal interest rate (APR) of 12 percent, compounded quarterly. How much will be in your account in 2 years?

3. What is the annual percentage yield (APY) or the effective annual rate of interest for 12 percent, compounded quarterly?