Part 2: Short problems(a,b,c)

You are supposed to show which formulas you are using and/or which commands of financial calculator you are using, as well as your final numerical result. Please round all your answers up to 2 digits after decimal point (for example, cash flow should be written as $20.20 and interest rates should be written as 1.23%). Each problem is worth 4 points.

Starting from next month, you are planning to invest $2,000 in you savings account every month. Its APR is 12%, compounded monthly. How much money are you going to get 10 years from now? The investment opportunity will generate C1 = $3,000 at the end of year 1, C, at the end of year 2 and C3 = $4,500 at the end of year 3. Present value of this cash flow stream is $9,000. Annual interest rate is 10%. What is C2? You need to borrow $2,000 two years from now. You expect the annual interest rate on your loan to be 5% (annual compounding). You have also agreed that you will pay back both principal and interest in a single installment after 5 years from the moment of getting a loan (so 7 years from now). What is the size of this installment going to be