This paper introduces a new method of investment performance analysis, based on the recent approach of Average Internal Rate of Return (AIRR). We show that the approach generates rates of return suitable for assessing both a fund´s (portfolio´s) performance and a manager´s performance. The...

Questo articolo si propone di dimostrare che il ROE (Return On Equity) ha un significato economico pregnante, al contrario di quanto sostenuto nella letteratura finanziaria e manageriale, nonché nella prassi aziendale. In particolare, un´opportuna media dei ROE è in grado di segnalare la...

In investment appraisal, uncertainty can be managed through intervals or fuzzy numbers because the arithmetical properties and the extension principle are well established and can be successfully applied in a rigorous way. We apply interval and fuzzy numbers to the Average Internal Rate of...

The notion of Net Present Value (NPV) is thought to formally translate the notion of economic profit, where the discount rate is the cost of capital. The latter is the expected rate of return of an equivalent-risk alternative that the investor might undertake and is often found by making...

As is well known, the classic Black­Scholes option pricing model assumes that returns follow Brownian motion. It is widely recognized that return processes differ from this benchmark in at least three important ways. First, asset prices jump, leading to non­normal return innovations. Second,...

We propose a direct and robust method for quantifying the variance risk premium on financial assets. We theoretically and numerically show that the risk-neutral expected value of the return variance, also known as the variance swap rate, is well approximated by the value of a particular...

The notion of Net Present Value (NPV) is thought to formally translate the notion of economic profit, where the discount rate is the cost of capital. The latter is the expected rate of return of an equivalent-risk alternative that the investor might undertake and is often found by making...

Levy processes can capture the behaviors of return innovations on a full range of financial securities. Applying stochastic time changes to the Levy processes randomizes the clock on which the processes run, thus generating stochastic volatilities and stochastic higher return moments. Therefore,...

In 1993, the Chicago Board of Options Exchange (CBOE) introduced the CBOE Volatility Index. This index has become the de facto benchmark for stock market volatility. On September 22, 2003, the CBOE revamped the definition and calculation of the volatility index, and back-calculated the new index...

We apply stochastic time change to Levy processes to generate a wide variety of tractable option pricing models. In particular, we prove a fundamental theorem that transforms the characteristic function of the time-changed Levy process into the Laplace transform of the stochastic time under...