John and Asha would like to retire at age 65. They expect their living expenses in their first year of retirement to be equivalent to 70% of their current earned income (as adjusted for inflation). They assume their life expectancy in retirement will be 30 years. Current income is $182,000. John is age 40 and Asha is age 40. They consulted the Social Security Administration website and determined their monthly retirement benefits at FRA would be $2,100 (in todays dollars) for John and $2,600 (in todays dollars) for Asha.

The Patels are looking to retire at age 65, as described in detail in the RETIREMENT INFORMATION section (above). What balance do they need on the first day of retirement to support this goal, taking their Social Security benefit into account?

Assume a 7% investment return on their retirement portfolio before they retire and a 5% return after they retire, and that inflation will average 3% for their entire lives. Please include your calculator steps and inputs in your answer