Samuel is a successful young executive planning to buy a dream house for $ 2 billion. The type of funding chosen by Samuel is a Bank Home Ownership Credit (KPR) for 5 years and the down payment that must be paid is 30%. Samuel plans to reserve $ 25 million from his monthly income to pay the mortgage installments for his dream home.

Question: a. How much installment should Samuel pay at the end of each month, if the loan interest rate is 9% per year?

b. Samuel's plan with the funds reserved, will it be able to buy the type of house he wants? Explain the arguments if you can buy and the suggestions that you can give if the budgeted funds are insufficient?

c. What is the final balance (principal amount) at the end of the first year (month 12) that Samuel still owes? Use an installment schedule table.