Inflation Rate Calculator

# import necessary libraries
import numpy as np
import matplotlib.pyplot as plt

# set initial parameters
money = 100             # initial amount of money
r = 0.07                # inflation rate
years = 30              # number of years to observe
t = np.arange(years)    # create array for years

# calculate the value of money for each year
money_over_time = money * (1 - r)**t

# plot the result
plt.plot(t, money_over_time)
plt.xlabel('Years')
plt.ylabel('Value of Money')
plt.title(f'Value of Money Over Time with Inflation Rate of {r*100:.0f}%')
plt.grid(True)
plt.ylim(0)
plt.xlim(0)
plt.show()

years = 0     # initialize year counter
money = 100
half = money / 2

while money >= half:
    money = money * (1 - r)     # calculate new value of money
    years += 1                  # increment year counter

print(f"Your money will be worth {money:.2f} in {years} years.")

from sympy import Symbol
from sympy.solvers import solve
y = Symbol('y')
solve(1/2 - 1 * (1-r)**y, y)

np.log(1/2) / np.log(1-r)

72 / (100*r)