old fashioned rice pudding

i made a breakfast rice pudding. i had found this recipe that doesn't include egg but it needed to be baked. i just cooked it on the stove top but i can see why it needed to be baked because the rice wasn't completely cooked. it was fine with me. it reminded me of the rice pudding i would buy at lizzette's bakery in sunset park when i was a kid.

Ingredients

3 1/2 cups milk

1/2 cup uncooked long grain rice

1/3 cup sugar

1/2 teaspoon salt

1/2 cup raisins

1 teaspoon vanilla extract

Ground cinnamon

Directions

In a saucepan, combine milk, rice, sugar and salt if desired; bring to a boil over medium heat, stirring constantly. Pour into a greased 1-1/2-qt. baking dish. Cover and bake at 325 degrees F for 45 minutes, stirring every 15 minutes. Add raisins and vanilla; cover and bake for 15 minutes. Sprinkle with cinnamon if desired. Serve warm or chilled. Store in the refrigerator.