Suppose you own a share of stock that is expected to pay out $100 in divic of the next 30 years. First, write out an expression for the present value of then find the present value using the tools we developed in class. Assume 4. nd ol ach hls stream of income, ncerest rate is 5% Consider the following investment options: Option 1: invest $100 now and get back $60 in six months $75 in a year, and $90 in 18 months Option 2: invest $?5 now and get back $10 per month at the end of each of the next 18 months a. If the monthly interest rate is 0.80%, calculate the net present value of each option? b. Which option would you choose first if your objective was to maximize the net present value of 5. your investments? Explain why Which option would you choose first if your objective was to maximize the net present value of your investments per dollar spent? Explain why c