Make TypeScript transpile module specifiers to their resolved target filepath

Question

I have some typescript that looks like this:

import { Game } from './game'

And this transpiles into the following JavaScript:

import { Game } from './game'

(Note that there is no .js extension added by the transpiler)

My browser (Chrome) tries to load the file game rather than file game.js which causes a 404.

Is there a way to tell the typescript compiler to add the .js extension when generating the JavaScript?