Gerardo is 23 years old, and has started his professional life. How is far-sighted decided that as soon as he begins to receive income, he will allocate a part of them to consolidate a pension fund that allows him to live with dignity, once he has decided to retire from working life. Gerardo has estimated that with 500,000 pesos a year, he will be able to live worthily during his golden years, and the first thing he did was look for some unconventional alternative to deposit his savings, since he well knew that the bank was not the best option. He found a savings fund that guaranteed him in "real terms" an annual interest rate of 4% for the next 80 years, as long as he defined the savings dates and withdrawal dates of his money from him. He decided that he would save from year 23 (annuity due), until year 65 (retirement age) and he wanted the fund to last until he was 100 years old. 1. How much is the goal that Gerardo must save in the year 65 to enjoy during his golden years of a pension of $500,000 pesos a year? 2. How much will he have to save annually in order to reach said goal?