Pre-heat oven to 190°C (375°F) and grease/line a small springform tin (mine is 7" / 18cm).
Beat the oil and sugar together until light and airy.
Beat in the eggs, one at a time, until fully incorporated.
Stir in the grated carrots until combined.
In a separate bowl, whisk together the flour, baking powder, nutmeg, and cinnamon.
Add the dry ingredients to the wet mixture, mixing just until evenly distributed.
Pour the batter into the prepared tin and bake in the lower part of the oven for 35-45 minutes, or until a skewer inserted in the centre comes out clean.
Remove from the oven and allow to cool slightly before removing the sides of the tin. Turn out onto a wire rack to cool completely.