Python: Compute the amount of the debt in n months

Last update on April 17 2025 13:05:51 (UTC/GMT +8 hours)

Debt Calculation

Write a Python program to compute the amount of debt in n months. Each month, the loan adds 5% interest to the $100,000 debt and rounds to the nearest 1,000 above.

Input:
An integer n (0 ≤ n ≤ 100)
Input number of months: 7
Amount of debt: $144000

Sample Solution:

Python Code:

# Function to round a given number to the nearest thousand
def round_n(n):
    if n % 1000:
        return (1 + n // 1000) * 1000
    else:
        return n

# Recursive function to compute the debt amount for a given number of months
def compute_debt(n):
    if n == 0:
        return 100000
    return int(round_n(compute_debt(n - 1) * 1.05))

# Print statement to prompt the user to input the number of months
print("Input number of months:")

# Calling the compute_debt function with user input, calculating the debt amount, and printing the result
result = compute_debt(int(input()))
print("Amount of debt: ", "$" + str(result).strip())

Sample Output:

Input number of months:
 7
Amount of debt:  $144000

Explanation:

The above Python code calculates the amount of debt after a given number of months based on a recursive formula. Here's a brief explanation:

The "round_n()" function rounds a given number to the nearest thousand.
The "compute_debt()" function is a recursive function that calculates the debt amount for a given number of months. The base case is when the number of months is 0, and it returns a fixed debt amount of 100,000. Otherwise, it recursively calculates the debt amount for the previous month, multiplies it by 1.05, and rounds the result to the nearest thousand using the "round_n()" function.
The code prompts the user to input the number of months.
It calls the "compute_debt()" function with the user input, calculates the debt amount, and prints the result, formatted as a dollar amount.

Flowchart:

For more Practice: Solve these Related Problems:

Write a Python program to calculate the future value of an investment with monthly compound interest.
Write a Python program to simulate a loan repayment schedule that includes monthly interest and fixed principal reductions.
Write a Python program to determine the number of months required for a debt to double at a fixed monthly interest rate.
Write a Python program to generate a detailed monthly payment schedule for a debt with interest accrual and rounding rules.

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Python Code Editor:

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