Preheat oven to 350 F. Line standard loaf pan (9 x 5 x 3 inch) with parchment paper, leaving overhang for easy removal.
In large bowl, whisk together mashed bananas, eggs, and sugar followed by soy milk and coconut oil. Using fine-mesh sieve, sift in flour, baking powder, baking soda, nutmeg, and salt. Mix until just combined and smooth into prepared loaf pan.
Bake for 45 to 50 minutes, until toothpick or skewer inserted in center comes out mostly clean (do not overbake). Cool for 1 hour in pan, loosen edges, remove from pan, and cool completely on wire rack. Cut into large (1 inch) cubes.