# (Solved Homework): PYTHON CODE ONLY! Assume: 1. Your semi­annual raise is .07 (7%)

PYTHON CODE ONLY!

Assume:

1. Your semi­annual raise is .07 (7%)

2. Your investments have an annual return of 0.04 (4%)

3. The down payment is 0.25 (25%) of the cost of the house

4. The cost of the house that you are saving for is \$1M.

You are now going to try to find the best rate of savings to achieve a down payment on a \$1M house in 36 months. Since hitting this exactly is a challenge, we simply want your savings to be within \$100 of the required down payment.

Write a program to calculate the best savings rate, as a function of your starting salary. You should use bisection search​ to help you do this efficiently. You should keep track of the number of steps it takes your bisections search to finish.

main.py
```def find_best_savings_rate(starting_salary):
low = 0
high = 10000
steps = 0
# Bisection search for the best savings rate
while True:
steps += 1
best_savings_rate_guess = (high + low) // 2
current_savings = 0
annual_salary = starting_salary
for months in range(36):
current_savings += annual_salary / 12 * best_savings_rate_guess / 10000 + current_savings * 0.04 / 12
# Salary is raised for 7% AFTER every 6 months
if months != 0 and months % 6 == 0:
annual_salary += annual_salary * 0.07

# Savings + or - 100\$ are OK
if 249900 <= current_savings <= 250100:
print("Best savings rate:", best_savings_rate_guess / 10000)
print("Steps in bisection search:", steps)
return
if current_savings < 249900:
low = best_savings_rate_guess
elif current_savings > 250100:
high = best_savings_rate_guess
if steps > 14:
print("It is not possible to pay the down payment in three years.")
return

salary = int(input("Enter the starting salary:"))
find_best_savings_rate(salary)
```

output:

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