Inflation rate of return: 4%
Investment rate of return: 8%
Retirement life expectancy: 38 years
Lump sum capital needed at retirement (from the annuity method, rounded): $2,000,000
Annuity payment needed at the beginning of each year from the investment portfolio at retirement, adjusted annually for inflation (used in the annuity method): $97,251
Utilizing the above facts, how much total investment capital will this person need at retirement in order to have the same amount of investment capital remaining at their death with an equal purchasing power as they will have at their retirement (purchasing power preservation model, round to the nearest dollar)?