In this paper, we investigate the generalization of the Call-Put duality equality obtained in [1] for perpetual American options when the Call-Put payoff (y − x)+ is replaced by φ(x, y). It turns out that the duality still holds under monotonicity and concavity assumptions on φ. The specific analytical form of the Call-Put payoff only makes calculations easier but is not crucial unlike in the d...

We present an introduction to mathematical Finance Theory for math ematicians The approach is to start with an abstract setting and then introduce hypotheses as needed to develop the theory We present the basics of European call and put options and we show the connection between American put options and backwards stochastic di erential equations

financial derivatives are new instruments through which hedging, investment and arbitrage are done in a modern economy. although the word 'derivative'primarily reminds us of options and futures, the major focus of the equity derivatives industry worldwide is on index derivatives. launching index options and index futures in tehran stock exchange, not only increases financial market de...

This research develops an early warning system (EWS) for equity market crises based on multinomial logit models and variables relating to the information content of index futures and options. We show that the information impounded in S&P 500 futures and options are useful as leading indicators of financial crises. The current literature is absent of such studies. Results reveal that models esti...

It is common for firms to issue or purchase options on the firm’s own stock. Examples include convertible bonds, warrants, call options as employee compensation, and the sale of put options as part of share repurchase programs. This paper shows that option positions with implicit borrowing—such as put sales and call purchases—are tax-disadvantaged relative to the equivalent synthetic option wit...