# LUP Student Papers

## LUND UNIVERSITY LIBRARIES

### To Measure Concentration Risk - A comparative study

(2017) FMS820 20171
Mathematical Statistics
Abstract
Credit risk is one of the largest risks facing a bank and following the Basel regulations, banks are expected to hold capital to protect themselves against credit risk. This thesis aims to evaluate models to calculate the capital requirement for credit concentration risk and compare them to the models suggested by Finansinspektionen.
Credit concentration risk can be split into name and sector concentration and two models are evaluated for each type of concentration risk. For both name and sector concentration a Full Monte Carlo method is implemented but as this is a time consuming method, alternative methods are suggested. For name concentration risk the alternative method splits the portfolio into two sub-portfolios and treats only one... (More)
Credit risk is one of the largest risks facing a bank and following the Basel regulations, banks are expected to hold capital to protect themselves against credit risk. This thesis aims to evaluate models to calculate the capital requirement for credit concentration risk and compare them to the models suggested by Finansinspektionen.
Credit concentration risk can be split into name and sector concentration and two models are evaluated for each type of concentration risk. For both name and sector concentration a Full Monte Carlo method is implemented but as this is a time consuming method, alternative methods are suggested. For name concentration risk the alternative method splits the portfolio into two sub-portfolios and treats only one of the portfolios as if it contains any name concentration risk. The proposed method for sector concentration builds on the multi-factor Merton model and gives an analytical solution. Each pair of models is tested on separate sets of simulated portfolios containing varying degrees of name respective sector concentration. Both methods assessing name concentration perform well but as the alternative method is faster, this is to be preferred. None of the methods are in perfect agreement with the results of the methods of Finansinspektionen and although this does not necessarily indicate that the models are faulty one should investigate the reasons behind the diﬀering results before continuing with any of the methods. When testing the sector concentration the alternative method appears to be the preferable one but as both methods diﬀer greatly from the results of Finansinspektionen none of the methods should be used before considering the reasons for the large deviations in results. (Less)
author
supervisor
organization
course
FMS820 20171
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Multi factor adjustment, Pykhtin, Partial Portfolio Approach, capital requirement, Monte Carlo, name concentration, sector concentration, Credit concentration risk
language
English
id
8911760
2017-06-07 07:52:07
date last changed
2017-06-07 07:52:07
```@misc{8911760,
abstract     = {Credit risk is one of the largest risks facing a bank and following the Basel regulations, banks are expected to hold capital to protect themselves against credit risk. This thesis aims to evaluate models to calculate the capital requirement for credit concentration risk and compare them to the models suggested by Finansinspektionen.
Credit concentration risk can be split into name and sector concentration and two models are evaluated for each type of concentration risk. For both name and sector concentration a Full Monte Carlo method is implemented but as this is a time consuming method, alternative methods are suggested. For name concentration risk the alternative method splits the portfolio into two sub-portfolios and treats only one of the portfolios as if it contains any name concentration risk. The proposed method for sector concentration builds on the multi-factor Merton model and gives an analytical solution. Each pair of models is tested on separate sets of simulated portfolios containing varying degrees of name respective sector concentration. Both methods assessing name concentration perform well but as the alternative method is faster, this is to be preferred. None of the methods are in perfect agreement with the results of the methods of Finansinspektionen and although this does not necessarily indicate that the models are faulty one should investigate the reasons behind the diﬀering results before continuing with any of the methods. When testing the sector concentration the alternative method appears to be the preferable one but as both methods diﬀer greatly from the results of Finansinspektionen none of the methods should be used before considering the reasons for the large deviations in results.},
author       = {Broström, Alma and Scheibenpflug, Hanna},
keyword      = {Multi factor adjustment,Pykhtin,Partial Portfolio Approach,capital requirement,Monte Carlo,name concentration,sector concentration,Credit concentration risk},
language     = {eng},
note         = {Student Paper},
title        = {To Measure Concentration Risk - A comparative study},
year         = {2017},
}

```