You are saving to buy a speed boat. Starting today, you will put $1,000 into an investment account. Each month thereafter, your contribution will be .1% (.001) higher than the month before, so that your contribution next month will be .1% higher than today, and so forth and so on. The investment account has a periodic monthly interest rate of .4% (.004). Ignore taxes. You will make contributions until 5 years from today.

The cash flow at T=0 is
The cash flow at Y=1 is
Starting at T=1, the number of payments is
At the end of 5 years, in total, how much will you have saved?