Problem 3: For all of the problems below, show all of your work. A. Which do you prefer of the options below? Is there an interest rate at which you switch your preference? If so, what is the rate at which the switch occurs? Option 1: $100 every year with the first payment in 1.5 years. Option 2: $50 every 6 months with the first payment in 1 year. Option 3: $50 every 6 months with the first payment in 1.5 years. B. which do you prefer of the options below? Is there an interest rate at which you switch your preference? If so, what is the rate at which the switch occurs? Option 4: $100 every year with the first payment in 1 year. Option 5: $95 every year with the first payment in .5 years. C. Which do you prefer of the options below? Is there an interest rate at which you switch your preference? If so, what is the rate at which the switch occurs? Option 6: $100 every 2 years with the first payment in 1.5 years plus $50 every two years with the first payment in 3 years. Option 7: $50 every two years with the first payment in 1 year plus $100 every two years with the first payment in 2.5 years