This study proposes a materials procurement contracts model to which the zero-cost collar option is applied for heading price fluctuation risks in construction.The material contract model based on the collar option that consists of the call option striking zone of the construction company(the buyer) following the materials price increase andthe put option striking zone of the material vendor(th...

Recall that the American option has strike K and maturity T and gives the holder the right to exercise at any time in [0, T ]. The American option is not straightforward to price in the Monte Carlo framework that we have discussed. The reason is that the derivative cash flow function f(S, t) is not well defined. The problem is that we cannot compute the derivative cash flow until we know how th...

We obtain closed–form expressions for the prices and optimal hedging strategies of American put–options in the presence of an “up–and–out” barrier, both with and without constraints on the short–selling of stock. The constrained case leads to a stochastic optimization problem of mixed optimal stopping/singular control type. This is reduced to a variational inequality which is then solved explic...

We study options on short-term leases for capital-intensive equipment performing specific functions and services, such as leases for semi-submersible drilling rigs, marine seismic services, corporate real estate leasing, retail space leasing, and apartment leasing. We quantify the effect of an important factor in pricing options on these services: idle time between consecutive lease contracts. ...

Option pricing is the the core content of modern finance. American option is widely accepted by investors for its flexibility of exercising time. In this paper, American option pricing formula is calculated for uncertain financial market and some mathematical properties of them are discussed. In addition, some examples are proposed. keywords: finance, uncertain process, option pricing

In this paper we consider the pricing of point-to-point bandwidth leasing contracts and options. The underlying asset of these contracts is a point-to-point telecommunications connection. Due to the network structure the network capacity prices depend nonlinearly on each other. A leasing contract on a point-to-point connection can be seen as an option because the seller of the connection select...

We derive the explicit price of perpetual American put option canceled at last-passage time underlying above some fixed level. assume that asset process is governed by a geometric spectrally negative Lévy process. show optimal exercise first moment when drops below an threshold. perform numerical analysis considering classical Black–Scholes models and model where logarithm has additional expone...