Amaury acquires an annuity that protects him against inflation risks, which will give him exhibits at the end of each year for 20 years. The first payment will be received 10 years after acquiring the annuity and will be $ 50,000, during the next 9 years each payment will be 6% larger than the previous payment. For the next 10 years, each payment will be 3% larger than the previous payment. The annuity is evaluated under the following effective interest rates, considering the initial time as the date the annuity is acquired: 8% for the first 20 years and 5% for the last 10 years. Find the present value of the annuity just when Amaury acquired it