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My interest in the topics dealt with in this thesis was aroused during my graduate studies and the preparation of my master's thesis. I realized a number of open questions and wanted to search for some of the answers. This search started with my master's thesis and continues with the present thesis. Chapter 2 is closely related to parts of my master's(More)
A system is presented for experimental arterial input function (AIF) simulation and for accurate measurement of the concentration, susceptibility effects, and magnetic moment of paramagnetic MR contrast agents. Signal effects of contrast agents are evaluated with a stable, well-characterized, and precise experimental setup. A cylindrical phantom and a(More)
Deuterium NMR is used to study the structure and dynamics of the formyl C-2H bond in selectively deuterated gramicidin molecules. Specifically, the functionally different analogues 2HCO-Val1...gramicidin A and 2HCO-Val1-D-Leu2...gramicidin A are studied by 2H NMR so that any conformational or dynamical differences between the two analogues can be correlated(More)
Deuterium NMR is used to study the selectively labeled Val1...(2-2H)Ala3...gramicidin A molecule to investigate the structure and dynamics of the C alpha-2H bond in the Ala3 residue of gramicidin. Val1...(2-2H)Ala3...gramicidin A is synthesized, purified, and characterized and then incorporated into oriented bilayers of dimyristoylphosphatidylcholine(More)
We consider the problem of optimally designing longevity risk transfers under asymmetric information. We focus on holders of longevity exposures that have superior knowledge of the underlying demographic risks, but are willing to take them off their balance sheets because of capital requirements. In equilibrium, they transfer longevity risk to uninformed(More)
We consider a financial market driven by a continuous time homogeneous Markov chain. Conditions for absence of arbitrage and for completeness are spelled out, non-arbitrage pricing of derivatives is discussed, and details are worked out for some cases. Closed form expressions are obtained for interest rate derivatives. Computations typically amount to(More)
Conditional expected values in Markov chains are solutions to a set of associated backward differential equations, which may be ordinary or partial depending on the number of relevant state variables. This paper investigates the validity of these differential equations by locating the points of non-smoothness of the state-wise conditional expected values,(More)
A Markov chain model is taken to describe the development of a multi-state life insurance policy or portfolio in a stochastic economic-demographic environment. It is assumed that there exists an arbitrage-free market with tradeable securities derived from demographic indices. Adopting a mean-variance criterion, two problems are formulated and solved. First,(More)