Risk-Neutral Valuation
Pricing and Hedging of Financial Derivatives
Chapter and Conference Paper
This paper is concerned with a new mathematical model for intraday electricity trading involving both renewable and conventional generation. The model allows us to incorporate market data e.g. for half-spread ...
Chapter and Conference Paper
To price options on emission certificates reduced-form models have proved to be useful. We empirically analyse the performance of the model proposed in Carmona and Hinz [2] and Hinz [8]. As we find evidence for a...
Chapter
We introduce a new numerical approach to value structured financial products. These financial products typically feature a large number of underlying assets and require the explicit modeling of the dependence ...
Reference Work Entry In depth
Book
Chapter
In a vector space V, if x and y are vectors, the set of linear combinations αx + αy, with scalars α, β ≥ 0 with sum α + β = 1, represents geometrically the linesegment joining x to y. Each such linear combination...
Chapter
Given a Hilbert space (or more generally, an inner product space) V, suppose V is the direct sum of a closed subspace M and its orthogonal complement MΓ: ...
Chapter
Access to full, accurate, up-to-date information is clearly essential to anyone actively engaged in financial activity or trading. Indeed, information is arguably the most important determinant of success in f...
Chapter
We now return to general continuous-time financial market models in the setting of §6.1, i.e. there are d+1 primary traded assets whose price processes are given by stochastic processes S 0,... , S ...
Chapter
Recall our use of n-dimensional Euclidean space ℝ n , the set of n-vectors or n-tuples x = (x 1,... ,x n ) with each x ...
Article
In this note the almost sure convergence of stationary, φ-mixing sequences of random variables according to summability methods is linked to the fulfillment of a certain integrability condition generalizing an...
Chapter
No-one can predict the future! All that can be done by way of prediction is to use what information is available as well as possible. Our task is to make the best quantitative statements we can about uncertain...
Chapter
We will study so-called finite markets — i.e. discrete-time models of financial markets in which all relevant quantities take a finite number of values. Following the approach of Harrison and Pliska [115] and ...
Chapter
This chapter discusses the general principles of continuous-time financial market models. In the first section we use a rather general model, which will serve also as a reference in the later chapters. A thoro...
Chapter
In this chapter we apply the techniques developed in the previous chapters to the fast-growing fixed-income securities market. We mainly focus on the continuous-time model (since the available tools from stoch...
Chapter
The main focus of this book is the pricing of financial assets. Price formation in financial markets may be explained in an absolute manner in terms of fundamentals, as, e.g. in the so-called rational expectat...
Chapter
The underlying set-up is as in Chapter 3: we need a complete probability space (Ω, ℱ, ℙ), equipped with a filtration, i.e a nondecreasing family F = (F t ) ...
Article
LetX 0,X 1,X 2,... be i.i.d. random variables withE(X 0)=0,E(X 0 2 )=1,E(exp{tX o}<∞ (|t|<t 0) and partial sumsS n . Startin...