Question 1202556
her lump sum payment is 1,000,000 right away.
her investment interest rate is 4% per year compounded weekly = .0769230769% per week.
the  number of weeks is 25 years * 52 weeks per year = 1300 weeks.
at the end of the 1300 weeks, she would have 2,717,237.07 in her account.


if she took the 1000 payment at the end of each week for 1300 weeks at the same inteeest rate per week, and reinvested what she received at the end of each week until the end of the investment period, she would have 2,232,408.19 in her account.


it looks like the lump sum payment gives her $484,828.88 more at the end of the 25 year investment period, given the interest rates per week are the same.


you could also have analyzed this by taking the present value of the payments.
that would have been equal to 821,572.85.
since it is less than the present value of 1 million, the 1,000,000 lump sum payment right away provides more money than the 1000 payments at the end of each week.


an excel analysis provides the same results, as shown below.


<img src = "http://theo.x10hosting.com/2023/060101.jpg">


<img src = "http://theo.x10hosting.com/2023/060102.jpg">