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blueskycorporation ,

No need to use a script, you can put the numbers directly into a financial calculator and use the TVM feature, or use the annuity formula directly (or annuity due if investing at the start of a period).

If you invest at the end of the period, daily is better, as more money will compound longer (vs waiting until the end of the month) If you invest at the beginning of the period, monthly is better (invest every at the beginning of the month)

Example with investing at end of period:

  • invest $143 every day at 3% APR: value after a year: $52,983.60
  • invest $4349.58 at the end of every month for 12 months, value after a year: $52,918.66

This is assuming you compound every day, as in practice, day count conventions may be different, and ignoring things such as the opportunity cost of the time spent time logging in to your bank to make daily transfers

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