Preheat your oven to 350°F (175°C) and prepare a 21.5 x 11.4 x 6.9 cm loaf pan by greasing it with unsalted butter and dusting it with flour.
In a large mixing bowl, beat the softened butter until creamy, then add the granulated sugar and continue to beat until the mixture is light and fluffy.
In a separate bowl, whisk together the eggs, vanilla extract, and salt before gradually incorporating this wet mixture into the butter mixture on low speed.
Slowly add the sifted cake flour during mixing, alternating with the milk, until all ingredients are incorporated.
Pour the batter into the prepared loaf pan, smoothing the top, and bake for 45 minutes to 1 hour, checking for doneness by inserting a knife into the center.
Allow the cake to cool in the pan before transferring it to a wire rack.