Your uncle, in his will, left you the sum of $40,000/year forever with payments starting three years (Year 3) from today (Year 0). However, the news is even better. He has specified that the amount would grow at 2% per year after the first payment to offset inflation rate (i.e., the second payment would be $40,000 x (1 + 0.02)). With an APR of 3% compounded annually, what is the PV of the inheritance today?

(Draw the time line and the payment in each period before calculating the PV).