In Nature’s Law, Elliott explained that the Fibonacci sequence provides a mathematical basis of the wave principle. In The Wave Principle of Human Social Behavior and The New Science of Socionomics, Prechter explained how Fibonacci sequence exists at all those instances where growth is the...

For a large financial market (which is a sequence of usual, “small” financial markets), we introduce and study a concept of no asymptotic arbitrage (of the first kind) which is invariant under discounting. We give two dual characterisations of this property in terms of (1) martingale-like...

This paper develops methods and a framework of financial market theory. We model financial markets as a system of agents which perform market transactions with other agents under the action of numerous expectations. Agents' expectations are formed of economic and financial variables, market...

This paper develops methods and a framework of financial market theory. We model financial markets as a system of agents which perform market transactions with other agents under the action of numerous expectations. Agents’ expectations are formed of economic and financial variables, market...

Asset allocation strategies which utilize stop-loss and stop-gain rules may dramatically decrease risk and even increase long-term return relative to passive investing. I introduce an asset allocation strategy which shifts portfolio weights based on simplistic stop rules. The two-asset (S&P...

Interest rate swaps are an actively traded product in the financial marketplace and are popular for hedging mortgage and corporate loan exposures against rises in interest rates. Asset swaps on the other hand provide a form of asset financing, where investors borrow funds to purchase an asset,...

A Tenor Basis Swap, also known as a floating-floating interest rate swap, is a financial instrument whereby floating cashflows from two different interest rates are exchanged, typically floating interest rates determined from benchmark Libor indices of the same currency are exchanged e.g. 3M...

The Alternative Reference Rates Committee (ARRC) has recently formally recommended CME Group’s forward-looking Secured Overnight Financing Rate (SOFR) term rates (SOFR Term Rates), following the completion of a key change in interdealer trading conventions on July 26, 2021 under the SOFR...

Hedge Fund returns are often highly serially correlated mainly due to illiquidity exposures given that investments in such securities tend to be inactively traded and associated market prices are not always readily available. Following that, observed returns of such alternative investments tend...

The model derives risky corporate bond prices (or equivalently credit spreads) subject to credit default and migration risk, based on an extended version of the Jarrow, Lando and Turnbull model, under a risk-neutral framework, as a result of the simulation of a continuous time, time-homogeneous...