I tried to improve on Giving What We Can’s (GWWC’s) estimates for the future recorded donations of 10 % pledgers by stipulating the logarithm of the donations per pledger-year for pledges started in the same year evolves linearly (exponential growth; model 1), or quadratically (model 2) with the year of the pledge.
My models lead to a value of a 10 % Pledge and cost-effectiveness of GWWC in 2023 and 2024 very similar to those from their Lifetime Giving Method. I got:
A value of a 10 % Pledge of 24.0 k and 21.4 k$ of additional donations to highly effective charities, 1.56 and 1.39 times GWWC’s estimate from the Lifetime Giving Method.
A giving multiplier of 9.22 and 8.34, 1.47 and 1.33 times GWWC’s estimate from the Lifetime Giving Method.
Here is an analysis along the lines I described.