Looking for mathematical / pencil and paper work only. Not interested in excel work.
You are given a perpetuity that makes payments at times 2, 4, 6, 8, … (in years), i.e., payments are made at times that are even numbers (in years), in perpetuity. For k = 1, 2, 3,…, the payment at time 2k, equals (1.1^(k+1))/ (2k +1) . Find the annual discount factor v such that the present value of this perpetuity is 1.6593