Incrementing Continuous Compound Interest

icci.py

'''
Suppose I spend $20,000 on a mining rig, and it mines $120 worth of crypto each day.
    
We then consistently stake its daily revenue into a yield farming platform at a rate of 12% per year, 
with the yield immediately claimed and restaked.

How much money would we make after n days?
At what day do we break even? (Assuming we're not paying for maintenance or electric bill)
'''

from typing import List
import pandas as pd


def incremental_continuous_compound(daily_mine_revenue: float, days_elapsed: int):
    '''
    Each day I get daily_mine_revenue and 
    I stake it to a pool at 12% per annum.
    '''
    

    interest_rate: float = 0.12         # 12 percent
    compound_frequency: int = 365       # number of times interest applied per time period per annum (so that's daily)

    balance: float = 0                  # This is supposed to be the principal, but we add to it daily.
    pure_yield_profit: float = 0        # Amount earned solely from the yield farming activity

    # These lists will be ever-expanding.
    pure_yield_profit_log: List[float] = []
    staking_yield_by_day: List[float] = []
    total_balance_log: List[float] = []
    
        
    for i in range(days_elapsed):

        day_yield = balance * ( interest_rate / compound_frequency) 
        pure_yield_profit += day_yield
        balance += daily_mine_revenue + day_yield
        
        # Building the dataframe columns
        pure_yield_profit_log.append(pure_yield_profit)
        staking_yield_by_day.append(day_yield)
        total_balance_log.append(balance)
        
        
    return pd.DataFrame(zip(pure_yield_profit_log, 
                            staking_yield_by_day, 
                            total_balance_log),
                        columns=['Yield Profit Total', 'Yield Amount of The Day', 'Total Profit'])