The interest rate of a perpetuity of 1 per year is i. X is the present value of the perpetuity and the payment is at the end of the second year. 20X is the present value of series of increasing payments 1, 2, 3...with the first payment at the end of the third year. The interest rate is also i. Calculate the discount rate, d, that is actuarially equivalent to the interest i used in the above two perpetuities above. SHOW ALL TIME LINES. The answer should be 0.04762 but I need to see ALL WORK and TIMELINES. Thanks!

The interest rate is X is the present value of a perpetuity of per year with the first payment at the end of the 2^nd year 20X is the PV of series of payments 1, 2, 3... with the first payments at the end of the 3^rd year calculate the discount rates d that is actually equivalent to the interest used in the above two