Problem 1: Calculate the future value of $1,200 invested today for four years at 10% annual interest rate. Problem 2: Calculate the present value (PV) of a $700, cash inflow that will occur three years from today, at 9% interest rate Problem 3: Suppose you are given an offer to deposit $5000 today and receive $7500 dollars four years from today. Calculate the interest rate for this offer. [Note: sign convention is important here] Problem 4: How long does it take $1000 today to increase to $1800 dollars if it is invested at 11% annual interest rate? Problem 5: How long does it take $1000 today to double in value if invested at 11% annual interest rate? Problem 6: At what rate should $1000 today be invested in order for it to double in value in 8 years? [