Quantum Finance: From Qubits to Capital Markets Measuring Innovation through the Quantum Finance Index

V. Lava Kumar, D. Srikanth Reddy, Senthil Kumar Jaya Prakash

Raymond Lee

Belal Ehsan Baaquie

The economic crisis of 2008 has shown that the capital markets need new theoretical and mathematical concepts to describe and price financial instruments. Focusing on interest rates and coupon bonds, this book does not employ stochastic calculus – the bedrock of the present day mathematical finance – for any of the derivations. Instead, it analyzes interest rates and coupon bonds using quantum finance. The Heath-Jarrow-Morton and the Libor Market Model are generalized by realizing the forward and Libor interest rates as an imperfectly correlated quantum field. Theoretical models have been calibrated and tested using bond and interest rates market data. Building on the principles formulated in the author's previous book (Quantum Finance, Cambridge University Press, 2004) this ground-breaking book brings together a diverse collection of theoretical and mathematical interest rate models. It will interest physicists and mathematicians researching in finance, and professionals working in the finance industry.

한양대학교 박사과정, MyeongSu Choi, Chanyoung Eom +1 more

Belal Ehsan Baaquie

The economic crisis of 2008 has shown that the capital markets need new theoretical and mathematical concepts to describe and price financial instruments. Focusing almost exclusively on interest rates and coupon bonds, this book does not employ stochastic calculus - the bedrock of the present day mathematical finance - for any of the derivations. Instead, it analyzes interest rates and coupon bonds using quantum finance. The Heath-Jarrow-Morton and the Libor Market Model are generalized by realizing the forward and Libor interest rates as an imperfectly correlated quantum field. Theoretical models have been calibrated and tested using bond and interest rates market data. Building on the principles formulated in the author's previous book (Quantum Finance, Cambridge University Press, 2004) this ground-breaking book brings together a diverse collection of theoretical and mathematical interest rate models. It will interest physicists and mathematicians researching in finance, and professionals working in the finance industry.

Manzoor Ansari, Aashita Chhabra, Nabeela Hasan +1 more

Quantum finance is a new paradigm in financial market operations, based on the principles of quantum computing in solving highly complex problems with efficiency. This chapter covers some basic ideas of quantum finance through its historical context and the role it has played in surmounting the limitations of classical financial models. The chapter commences with the basics, including the need for an introduction to quantum mechanics, qubits, quantum gates, and algorithms that can be applied in financial applications to demonstrate how quantum computing can change finance. We discuss some of those areas where this technology is bound to make an impact: in portfolio optimization, quantum computing considers several combinations of assets at a time; in risk management, improved models will allow for better predictions of market movements; in derivative pricing, the calculations are faster and more accurate; and in fraud detection, it enables one to execute better analysis of transactional data. The advancement of quantum finance is linked to the need to resolve ethical, legal, and technical obstacles while integrating with traditional financial institutions. The financial markets will be a key source of innovation that will drive efficiency, precision, and invention to previously unheard-of heights, given the direction that quantum computing technology is expected to take. Thus, the chapter ends with a call for more study and cooperation to fully grasp quantum finance's transformative potential.