With the effective inflation rate, $5,000 in 1947 was equivalent to $58,035 in 2018.
https://data.bls.gov/cgi-bin/cpicalc.pl?cost1=5000&year1=194...
Really, just do the calculation.
>>> def comp(s, n, i):
... m = 0
... for x in range(n):
... m *= i
... m += s
... return m
...
>>> comp(5000, 77, 1.062)
8201943.704759633
So there were some abnormal returns (or inheritance) involved.Where is the '2018 dollars'? The account takes the same nominal deposit at year 0 as at year 76.
Where is the adjustment for inflation in the interest rate? The account adds 6.2% every year regardless of that years inflation.
EDIT: The program obviously cannot account for inflation since it has no notion of inflation. If the secretary were depositing 5000 '2018 dollars' in 1947, then the nominal deposit would have to be something like $500. Inflation is usually positive, so money in the past is worth more.
Average dividend reinvested and inflation adjusted return between 1949 and 2016 is 7.5%
>>> def comp(A, n, i):
... m = 0
... for x in range(n):
... m += i**x
... return A/m
...
>>> comp(9000000, 67, 1.0725)
6053.012676780852
Assuming costs of 0.25%, she needs to invest a little over 6000 2016 USD per year to get 9 million USD.The same values taken for a 50 year period are only $1.65MM, nothing to sneeze at, but a far cry from $8.2MM.
100 years of living barely within your means won't leave $8.2MM or $1.65MM.
Of course then you are 95 and realize that without descendants about the only thing you can do with the money is give it to a charity and hope they don't squander it.
A reputable charity is less likely to squander $8M than one's descendants are.
[1] https://gist.github.com/wjn0/67641a83d61e2fe74f8729f65fe4bdb...
Looks like Warren Buffet knows what he's talking about.
Iirc, last year was around 14% in the mutual funds, with the “fun money” mostly cash.