Real Option Pricing using Quantum Computers

We present a novel methodology to price derivative contracts using quantum computers by means of Quantum Accelerated Monte Carlo. Our contribution is an algorithm that permits pricing derivative contracts with negative payoffs. Note that the presence of negative payoffs can give rise to negative prices. This behaviour cannot be captured by existing quantum algorithms. Although the procedure we describe is different from the standard one, the main building blocks are the same. Thus, all the extensive research that has been performed is still applicable. Moreover, we experimentally compare the performance of the proposed methodology against other proposals employing a quantum emulator and show that we retain the speedups.