This paper is devoted to the valuation of American multi-asset put options. It is well known that the American multi-asset put option satisfies a linear complementary problem (LCP) on an unbounded domain. We consider a penalty method in which the LCP could be reformulated into a nonlinear parabolic problem on an unbounded domain. For the unbounded computational domain, a perfectly matched layer...

This paper examines the valuation of a generalized American-style option known as a game-style call option in an infinite time horizon setting. The specifications of this contract allow the writer to terminate the call option at any point in time for a fixed penalty amount paid directly to the holder. Valuation of a perpetual game-style put optionwas addressed byKyprianou (2004) in a Black-Scho...

We analyze the pricing and hedging of catastrophe put options under stochastic interest rates with losses generated by a compound Poisson process. Asset prices are modeled through a jump-diffusion process which is correlated to the loss process. We obtain explicit closed form formulae for the price of the option, and the hedging parameters Delta, Gamma and Rho. The effects of stochastic interes...

Renewable energy subsidies in the form of feed-in tariffs implicitly give investors the possibility to shut down their renewable power plants temporarily or permanently. This real option is especially valuable for electricity from biomass, an important pillar of European renewable energy goals. The shut-down option is similar to a put on agricultural commodity prices, while the costs and benefi...

In this paper we deal with the problem of valuing the surrender option embedded in a participating life insurance policy with a minimum interest rate guaranteed. This feature is an American-style put option that enables the policyholder to sell back the contract to the insurer at the surrender value. By means of a recursive binomial tree à la Cox, Ross and Rubinstein (1979) we compute, first of...

We introduce options on FTSE100 index in portfolio optimisation with shares in which conditional value at risk (CVaR) is minimised. The option considered here is the one that follows FTSE100 Index Option standards. Price of options are calculated under the risk neutral valuation. The efficient portfolio composed under this addition of options shows that put option will be selected as part of th...

This paper investigates Black–Scholes call and put option thetas, and derives upper and lower bounds for thetas as a function of underlying asset value. It is well known that the maximum time premium of an option occurs when the underlying asset value equals the exercise price. However, we show that the maximum option theta does not occur at that point, but instead occurs when the asset value i...

This appendix provides additional intuition based on option pricing for the result in Proposition 2. Consider the case of monopoly. At time one, the monopolist is selling a series of call options, or equivalently units bundled with put options, rather than units themselves. The marginal price charged for a unit q at time two is simply the strike price of the option sold on unit q at time one. T...

This paper discusses two topics on fuzzy random variables in decision making. One is a new evaluation method of fuzzy random variables, and the other is to present a mathematical model in financial engineering by fuzzy random variables. The evaluation method is introduced as mean values defined by fuzzy measures, and it is also applicable to fuzzy numbers and fuzzy stochastic process defined by...

We present a simple put option pricing procedure within an asset±liability valuation model that can be used to estimate the incentives facing stock-based life insurance ®rms to voluntarily sell their businesses under various operating and regulatory conditions. Estimates are derived for samples of 11 sold ®rms and 24 continuing Australian life insurance companies over a period of industry conso...