Please show all work with these FOUR QUESTIONS.

1. Imagine you are going to borrow $955,156 from a bank to purchase real estate. You are going to finance the purchase over 30 yrs at 6% interest with no down payment. What is the monthly payments? How did you calculate this?

2. If you are 21 yrs of age, how much do you need to save monthly if you have nothing today and you want $100,000 by the age of 35?

3. If you invest $100,000 today at 5% compounded monthly for 5 years, how much will you have in 5 years?

4. You are going to lease a piece of a machinery. The price of the machinery is $100,000. The lease term is 5 years with monthly payments and the annual implied interest rate is 5%. At the end of 5 years, the balance is owed on the lease (the purchase option) is $10,000. What will the payments be?