Created
May 2, 2023 10:33
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import numpy as np | |
def investment_value(principal, rate, time, n, dividends, reinvest_dividends, brokerage_fee, investment_fee): | |
if reinvest_dividends: | |
# Calculate dividend reinvestment | |
for t in range(time): | |
# Calculate interest with compound | |
principal = principal * (1 + rate / n) ** n | |
# Calculate and reinvest dividends | |
dividend_income = principal * dividends | |
dividend_income_minus_fees = dividend_income - brokerage_fee - investment_fee | |
if dividend_income_minus_fees > 0: | |
principal += dividend_income_minus_fees | |
else: | |
# Calculate interest with compound | |
principal = principal * (1 + rate / n) ** (n * time) | |
# Calculate and distribute dividends | |
total_dividends = principal * dividends * time | |
total_fees = (brokerage_fee + investment_fee) * time | |
principal += total_dividends - total_fees | |
return principal | |
# Parameters | |
principal = 10000 # Initial investment | |
rate = 0.07 # Annual interest rate (as a decimal) | |
time = 10 # Number of years | |
n = 1 # Number of times interest is compounded per year | |
dividends = 0.02 # Annual dividend yield (as a decimal) | |
reinvest_dividends = True # Set to True to reinvest dividends, False to distribute | |
brokerage_fee = 10 # Brokerage fee per dividend reinvestment or distribution | |
investment_fee = 5 # Investment fee per dividend reinvestment or distribution | |
final_value = investment_value(principal, rate, time, n, dividends, reinvest_dividends, brokerage_fee, investment_fee) | |
print(f"Final investment value: ${final_value:,.2f}") |
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