Valuation and Optimization of Credit Risk using a Portfolio Model
(2012) FMS820 20122Mathematical Statistics
- Abstract (Swedish)
- In this paper I study a model for credit risk in a portfolio of sovereign
bonds, based on (van der Hoorn, 2009). The model is based on historical
credit rating changes and the joint distribution of the losses for dier-
ent bonds is modeled with an assumption of an underlying multivariate
Gaussian variable. Dierent risk measures for the portfolio are calculated
using Monte Carlo simulations and the performance is improved by the
use of importance sampling. I investigate dierent methods on how to
improve the model and the estimation of the parameters of the model. I
also develop methods to valuate the certainty of the risk measures based
on a statistical view on the input data, which give clear indications that
the small size of... (More) - In this paper I study a model for credit risk in a portfolio of sovereign
bonds, based on (van der Hoorn, 2009). The model is based on historical
credit rating changes and the joint distribution of the losses for dier-
ent bonds is modeled with an assumption of an underlying multivariate
Gaussian variable. Dierent risk measures for the portfolio are calculated
using Monte Carlo simulations and the performance is improved by the
use of importance sampling. I investigate dierent methods on how to
improve the model and the estimation of the parameters of the model. I
also develop methods to valuate the certainty of the risk measures based
on a statistical view on the input data, which give clear indications that
the small size of input data gives low accuracy for the risk measures. An
attempt to write an algorithm to nd the optimal portfolio with respect
to the risk measures is also performed and the results are discussed. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/3165715
- author
- Sidén, Per
- supervisor
-
- Jimmy Olsson LU
- organization
- course
- FMS820 20122
- year
- 2012
- type
- H2 - Master's Degree (Two Years)
- subject
- language
- English
- id
- 3165715
- date added to LUP
- 2012-11-08 10:46:54
- date last changed
- 2012-11-08 10:46:54
@misc{3165715, abstract = {{In this paper I study a model for credit risk in a portfolio of sovereign bonds, based on (van der Hoorn, 2009). The model is based on historical credit rating changes and the joint distribution of the losses for dier- ent bonds is modeled with an assumption of an underlying multivariate Gaussian variable. Dierent risk measures for the portfolio are calculated using Monte Carlo simulations and the performance is improved by the use of importance sampling. I investigate dierent methods on how to improve the model and the estimation of the parameters of the model. I also develop methods to valuate the certainty of the risk measures based on a statistical view on the input data, which give clear indications that the small size of input data gives low accuracy for the risk measures. An attempt to write an algorithm to nd the optimal portfolio with respect to the risk measures is also performed and the results are discussed.}}, author = {{Sidén, Per}}, language = {{eng}}, note = {{Student Paper}}, title = {{Valuation and Optimization of Credit Risk using a Portfolio Model}}, year = {{2012}}, }