#
# Compute the payment amount and cost of borrowing for a loan based on the
# amount borrowed, interest rate, and loan duration (amortization period).
#


# Read the amount borrowed, interest rate, and loan duration from the user.
amount = float(input("Enter the amount for the loan: "))
rate = float(input("Enter the interest rate (5 for 5%): "))
duration = int(input("Enter the loan duration in years: "))

# Convert the interest rate to a decimal
rate = rate / 100

# Convert from an annual interest rate to a rate per payment period.
rate = rate / 12

# Compute the number of payments
num_payments = duration * 12

# Compute the payment amount for the loan.
payment = rate * amount / (1 - (1 + rate) ** -num_payments)

# Compute the cost of borrowing.
cost_of_borrowing = payment * num_payments - amount

# Display the results.
print(f"Your monthly payment is ${payment:,.2f}.")
print(f"The total cost of borrowing is ${cost_of_borrowing:,.2f}.")