This paper considers a sequence of discrete-time random walk markets with a single risky asset, and gives conditions for the existence of arbitrage opportunities or free lunches with vanishing risk, of the form of waiting to buy and selling the next period, with no shorting, and furthermore for...

It is well known that the various formulas for the duration of a bond give inaccurate results. Their accuracy can be improved by the addition of extra elements, such as convexity or duration vectors. But the results remain inaccurate. A recent paper proposed a new formula for the duration of a...

Modern portfolio theory produces optimal portfolios from estimates of expected returns and a covariance matrix. Such optimal portfolios are efficient portfolios, that is they provide the maximum level of expected return for a given level of risk. We present a method for portfolio selection based...

This paper develops a general valuation approach to price barrier options when the term structure of interest rates is stochastic. These products' barriers may be constant or stochastic, in particular we examine the case of discounted barriers (at the instantaneous interest rate). So, in...

In a three-period finite competitive exchange economy with incomplete financial markets and retrading, we show the generic existence of financial innovation which decreases equilibrium price volatility (as well as innovation which incresases it). The existence is obtained under conditions of...

The first three factors resulting from a principal components analysis of term structure data are in the literature typically interpreted as driving the level, slope and curvature of the term structure. Using slight generalisations of theorems from total positivity, we present sufficient...

This paper aims to examine two products used in kitchen, a centrifugal juicer for fruits and vegetables and another masticating juicer. In order to choose the optimal variant of juicer (fruit and vegetable), it will analyze the characteristics of each juicer, so finally using the STEM method to...

We provide a monotonic transformation of an initial diffusion with a level-dependent diffusion parameter that yields a second, deterministic parameter process. Altering the diffusion parameter while maintaining the original Brownian motion at the expense of the drift can be viewed as a...

This paper reviews the application of OR to financial markets. After considering reasons for the attractiveness of general finance problems to Or researchers, the main types of financial market problem amenable to OR are identified, and some of the many problems solved using OR are documented.

The approach that allows find European option price on the assumption of hedging at discrete times is proposed. The routine allows find the option price not for lognormal distribution functions of underlying asset only but for other classes of distribution functions too. It is shown that there...