Calculate the NPV assuming a required return of 11%, of a stock that you purchase for $20 and you sell for $45, fifteen years later. Assume that the stock paid a dividend (at the end of the year) of $0.50 for 3 years, then a dividend of $0.75 for the next 3 years, $1.00 for 3 years, and $1.50 for the remaining 6 years.