1. Your uncle died last year and left you money in his will. You are to receive S100,000 in four years (time 4) and $500,000 ten years from today (i.e., in time 10) (a) What is the value of the inheritance today (in time 0) if the appropriate discount rate is 6% and you compound annually? (b) If you invest the money when you receive it, how much will it grow to 40 years from today (i.e., in time 40) if you earn 6% each year? 2. Your neighbor is buying a new Tesla electric car. He has the following options to finance the purchase: I. Pays $70,000 today (in time 0) II. Buy under a "no payments for three years" program by agreeing to pay $85,000 three years from today (in time 3). III. Make 36 monthly payments over 3 years of $2,200 payable at the end of each month. (a) If the interest rate is 6% annually, calculate the present value of each option. (b) At what interest rate do Option II and Option III have the same present value