2. Perpetuities Find the present value (as of today) of each of the following perpetuities. The interest rate is 5% per year. a) A perpetuity that will pay $100 per year forever, starting one year from now b) A perpetuity that will pay $100 per year forever, starting today c) A perpetuity that will pay $100 per year forever, starting five years from now d) A growing perpetuity where the fist payment is $100 two years from now and subsequent payments will grow at 1% every year