apy.py

def calc_derivative(principal, apr, gas, t=days_between_compounds):
    return (principal*((-gas/principal) + ((apr/100)/365) * t + 1)(365/t)) * ( ((apr/100)/( t( (-gas/principal) + t(apr/100)/365 + 1) )) - (365np.log( (-gas/principal) + t(apr/100)/365 + 1))/t2 )


def calc_final_value(principal, apr, gas, num_days):
    return principal(1+(num_days(apr/100)/365 - gas/principal))**(365/num_days)


def find_ideal_compound_rate(principal, apr, gas):
    der = 99999999999999999
    ideal_days = 365
    for days in np.arange(0.5,365.25,.25):

        der_test = calc_derivative(principal, apr, gas, days)
        if (abs(der_test)<der) and (calc_final_value(principal, apr, gas, days) > calc_final_value(principal, apr, gas, days-0.25)) and (calc_final_value(principal, apr, gas, days) > calc_final_value(principal, apr, gas, days+0.25)):
        ### the above tests to make sure the derivative is a maximum and not a minimum point
            der = abs(der_test)
            ideal_days=days
    return(ideal_days)
def accumulate_funds(principal, apr, gas):
    """
    principal is in dollars
    apr is in % so 283% --> 283
    gas cost is in dollars

    returns a print of when to compound
    """
    wen = []
    starting_funds = principal
    days_of_trial = 0
    num_compounds=0
    final_monies=0
    price = 1 ###used to deteriorate ALCX price
    price_end_percent = 1 ### use this if you want to have ALCX price deteriorate
    price_depr = (1-price_end_percent)/365
    dep_APR = 1 # Use this to depreciate the ALCX emissions rate and hence the APR
    while days_of_trial < 365:
        days_between_compounds = find_ideal_compound_rate(principal, apr, gas)
        prior_compound = days_of_trial
        prior_value = final_monies
        days_of_trial+=days_between_compounds
        final_monies = principal+(principal*(days_between_compounds * (apr/365.)/100.) - gas)price
        period_rewards = (principal(days_between_compounds * (apr/365.)/100.) )price

        wen.append([days_of_trial, round(final_monies,2), round((principal(days_between_compounds * (apr/365.)/100.) )price,2)])
        print(f"Day of Compound: {days_of_trial:6.2f}      Value: ${final_monies:10.2f}      Rewards Earned: {period_rewards:8.2f},  APR: {apr:6.2f}")###     Amount Compounded: {(principaldays_between_compounds*(apr/365)/100 - gas):8.2f}" )
        principal = final_monies
        num_compounds+=1
        year_money = prior_value + ( (365-prior_compound)/(days_of_trial-prior_compound) ) * (final_monies-prior_value)
        price = price-(price_depr*days_between_compounds)
        apr = apr * dep_APR
    print(f'\nSelf-compound APY = {100*((year_money-starting_funds)/starting_funds):.2f}%')
    #return wen