This paper derives an approximation formula for average options under two stochastic volatility models such as Heston and ă(Lambda)-SABR models by using an asymptotic expansion method. Moreover, numerical examples with various parameters some of which are obtained by calibration to WTI...

This paper proposes a new approximation method of pricing barrier and average options under stochastic volatility environment by applying an asymptotic expansion approach. In particular, a high-order expansion scheme for general multi-dimensional diffusion processes is effectively applied....

An asymptotic expansion scheme in finance initiated by Kunitomo and Takahashi [6] and Yoshida [29] is a widely applicable methodology for analytic approximation of the expectation of a certain functional of diffusion processes. Mathematically, this methodology is justified by Watanabe...

Recently, not only academic researchers but also many practitioners have used the methodology so-called "an asymptotic expansion method" in their proposed techniques for a variety of financial issues. e.g. pricing or hedging complex derivatives under high-dimensional stochastic environments....

An asymptotic expansion scheme in finance initiated by Kunitomo and Takahashi [15] and Yoshida[68] is a widely applicable methodology for analytic approximation of the expectation of a certain functional of diffusion processes. [46], [47] and [53] provide explicit formulas of conditional...

This paper presents a new computational scheme for an asymptotic expansion method of an arbitrary order. An asymptotic expansion method in finance initiated by Kunitomo and Takahashi[9], Yoshida[34] and Takahashi [20], [21] is a widely applicable methodology for an analytic approximation of the...

This article develops a multitask model in which the agent has to produce both verifiable and unverifiable outputs in a dynamic framework as observed in actual labor markets and practices. The model derives an important result regarding the timing and the length of a wage contract. A short-term...

In this paper, we investigate equilibrium cycles in dynamic general equilibrium models with cash-in-advance constraints. Our findings are two-fold. First, in such models, if an equilibrium cycle exists, then there also exists a continuum of equilibrium cycles in its neighborhood. Second, the...

This paper investigates the attributes of the multi-step income 1) operating profits, 2) earnings before tax, special and extra-ordinary items, and 3) net income, and then this paper confirms the rationality of the multi-step performance reporting. We examine the relationship between the...

This paper investigates the relationship between value relevance of the multi-step income statement and managerial opportunistic behavior. In Japan, net income is disclosed by three steps, i.e., 1) operating profits from core operating activity, 2) ordinary income, measured by adding gains and...