. A perpetuity immediate pays 100,000 in odd numbered years and 200,000 in even numbered years. So the payment pattern looks like 100,000, 200,000, 100,000, 200,000, ...... If the annual eective interest rate is i, the present value for the perpetuity is 29,975,062.34. Find the present value for the perpetuity if the annual eective interest rate is i + 0:001.