Preheat your oven to 350°F (175°C). Line an 8 x 4 inch loaf pan with parchment paper.
In a large bowl, add the yogurt, sugar and oil. Use a whisk to mix until you have a smooth and uniform batter.
Add the flour and use a spatula to fold in the flour. Only use a spatula and do not overmix. You want to fold until the flour is completely incorporated and there are no unmixed pockets of flour. However, you do not need to mix until the batter is smooth. It is okay if there are some small lumps.
Pour the batter into the prepared pan and spread it evenly. Bake in the preheated oven for 50-60 minutes, or until a toothpick inserted into the center comes out clean. The surface of the cake should also bounce back if you apply light pressure. Allow the cake to cool completely before cutting and serving.