KTH Matematik |

Seminarierummet 3721, Institutionen för
matematik, KTH, Lindstedts väg 25, plan 7.
Karta!
The main purpose of using a dynamic portfolio is to keep the realized volatility of the portfolio under control and preferably below a certain maximum level, denoted as the Volatility-Cap-Target-Level (VCTL). This is attained by a variable allocation between the risky asset and the non-risky asset during the maturity of the VCTL-option. The allocation is reviewed and if necessary adjusted every 15th day. Adjustment depends entirely upon the realized historical volatility of the risky asset. Moreover, it is assumed that the risky asset is governed by a certain group of stochastic differential equations called affine jump-diffusion models. All models will be calibrated using out-of-the money European call options based on the Deutsche-Aktien-Index (DAX). The numerical implementation of the portfolio diffusions and the use of Monte Carlo methods will result in different VCTL-option prices. Thus, to price a non-standard product and to comply with good risk management, it is advocated that the financial institution use several research models such as the SVSJ- and the Sepp-model in addition to the Black-Scholes model. |

Sidansvarig: Filip Lindskog Uppdaterad: 25/02-2009 |