Options
Karl Frauendorfer
Title
Prof. Dr.
Last Name
Frauendorfer
First name
Karl
Email
karl.frauendorfer@unisg.ch
Phone
+41 71 224 2105
Now showing
1 - 5 of 5
-
PublicationDynamic modelling and optimization of non-maturing accountsThe risk management of non-maturing account positions in a bank's balance like savings deposits or certain types of loans is complicated by the embedded options that clients may exercise. In addition to the usual interest rate risk, there is also uncertainty in the timing and amount of future cash flows. Since the corresponding volume risk cannot directly be hedged, the account must be replicated by a portfolio of instruments with explicit maturities. This paper introduces a multistage stochastic programming model that determines an optimal replicating portfolio from scenarios for future outcomes of the relevant risk factors: Market rates, client rates and volume of the non-maturing account. The weights for the allocation of new tranches are frequently adjusted to latest observations of the latter. A case study based on data of a real deposit position demonstrates that the resulting dynamic portfolio provides a significantly higher margin at lower risk compared to a static benchmark.Type: book section
-
PublicationRefinancing Mortgages in SwitzerlandThis paper presents a multistage stochastic programming model for refinancing mortgages with non-contractual maturity under liquidity restrictions in the market. An extension to the management of other products such as savings accounts is straightforward. The evolution of interest rates is modelled by principal components for short-term and a two-factor mean reversion model with long rate and spread for long-term planning. Barycentric approximation provides tight lower and upper bounds for the original problem with relative discretization errors in the order of one per cent.
-
PublicationMultistage stochastic programming: Barycentric approximation(Kluwer Academic Publishers, 2001)
;Parkalos, P.Floudas, C. A.Type: book section -
PublicationStochastic Optimization in Asset & Liability Management: A Model for Non-Maturing Accounts(Kluwer Academic Publishers, 2001)
;Ziemba, W.T.Mulvey, J.M. -
PublicationBarycentric Approximation of Stochastic Interest Rate Processes(Cambridge University Press, 1998)
;Mulvey, J.M.Ziemba, W.T.The incorporation of single-factor interest rate models within the stochastic programming methodology is investigated and applied to multiperiod investment. Barycentric approximation is used for discretizing the stochastic factors and for generating scenario trees which take the various term structure movements into account. It is shown that employing the Vasicek model for the instantaneous rate process preserves convexity of the stochastic multistage program and, hence, guarantees information on the accuracy of the approximate investment strategies. To the contrary, the convexity of the program cannot be assessed if the square root process due to Cox-Ingersoll-Ross is used for the instantaneous rate. In this case, the approximate investment policies and their associated interest surplus may be accepted as estimates. Numerical results for 8-period and 6-period investment problems are discussed.Type: book section