Compute the volume of a polytope using the coordinates of its vertices

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Probabily is an easy question but I have no references for it.

Let we consider a bounded, convex polytope $P$ in the space $\mathbb{R}^n$. Assuming we know the coordinates of its vertices $v_1 , \dots , v_k$, is there an easy way to compute the volume of $P$?

In the case one of these vertices is the origin, is the calculation any simpler?

What about if the vertices are exactly $n+1$?

Thank you in advance.