You are planning for your retirement in 38 years. At that time you want to have enough saved to be able to afford to spend $50,000 per year (starting at time 39) for 20 years (if you live longer than 20 years your kids will have to support you).

How much will you need to have saved by time 38 if the expected interest rate from time 38 to 58 is 13 percent per year?