With 1% daily compound interest, what is the monthly return rate?

What is the annualized return rate?
What is the return rate over two years?

First setup: Assuming 30 days per month, 365 days per year, daily interest rate r=1\% = 0.01, compound interest formula:
A=(1+r)^n
Return rate = A-1

1. Monthly (30 days)
(1+0.01)^{30} - 1 \approx 34.78\%

2. Annualized (365 days)
(1+0.01)^{365} - 1 \approx 3678.34%

3. Two years (365 \times 2 = 730 days)
(1+0.01)^{730} - 1 \approx 142658.79%

Summary
• Monthly return rate (30 days): 34.78%
• Annualized return rate (365 days): 3678.34%
• Total return over two years: 142658.79%

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With 1% daily compound interest, what is the monthly return rate?

First, clarify the conditions:
Daily interest rate r=1\% = 0.01, assuming 365 days per year, total days for 3 years:
n = 365 \times 3 = 1095 \text{ days}

Compound future value formula:
FV = (1+r)^n
FV = (1+0.01)^{1095} \approx 53939.17

Total return rate = Future value multiple − 1:
\text{Total return} = 53939.17 - 1 = 53938.17

Conclusion
With 1% daily compound interest, for 3 consecutive years (1095 days):
• The principal will become 53939.17 times the original
• Total return rate: 5393817.41%

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With 1% daily compound interest,
Monthly return rate 34.78%
Annualized return 36 times
Two years 1426 times
Three years 53938 times
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