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Modern portfolio optimisation under regime switching

Thesis (MCom)--Stellenbosch University, 2022.

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Main Author: Steenkamp, Cara Yvette
Other Authors: Alfeus, Mesias
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2022
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access_status_str Open Access
author Steenkamp, Cara Yvette
author2 Alfeus, Mesias
author_browse Alfeus, Mesias
Steenkamp, Cara Yvette
author_facet Alfeus, Mesias
Steenkamp, Cara Yvette
author_sort Steenkamp, Cara Yvette
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MCom)--Stellenbosch University, 2022.
format Thesis
id oai:scholar.sun.ac.za:10019.1/124903
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:40:54.953Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2022
publishDateRange 2022
publishDateSort 2022
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/124903 Modern portfolio optimisation under regime switching Steenkamp, Cara Yvette Alfeus, Mesias Stellenbosch University. Faculty of Economic and Management Sciences. Dept. of Statistics and Actuarial Science. Portfolio management -- South Africa Investment management -- South Africa Investment analysis -- South Africa Business enterprises -- Finance UCTD Thesis (MCom)--Stellenbosch University, 2022. ENGLISH SUMMARY: The main objective of this assignment is to consider modern portfolio optimisation under regimes. Unobservable regimes are assumed to be modulated by a time-change Markov process. These models are well-known as Markov regime switching models. The Markov regime switching models are applied to portfolios that consist of a lagged model and a factor model. The lagged model represents a portfolio of 20 stocks which have been lagged by a day and then classified into regimes whereas the factor model uses 5 different global risk factors or measures namely, the 3 Fama-French factors, VIX and a spread between the 3-month JIBAR rate and SAFEX overnight rate to estimate the unobserved regimes for the portfolio. This assignment considers two regimes. Two regimes are classified representing the bull and bear markets, periods when the financial market is doing well and when the market is on a downturn respectively. Thereafter, optimisation is performed by taking the estimated regimes into account and obtaining the optimal portfolio allocations. Optimisation methods such as Sharpe ratio method and risk budget method are investigated. For each of these optimisation methods the portfolios were rebalanced to evaluate the financial markets at the start of the new investment period, classify it either into a new regime or remaining in the current state and then adjusting the portfolio weights. Portfolio optimisation including the regimes are then compared to classical modern portfolio optimisation without regimes consideration. Results show that portfolio optimisation with regimes obtained the highest Sharpe ratio, indicating the economic benefit of inclusion of regime switching characteristics in modern portfolio optimisation. AFRIKAANSE OPSOMMING: Die hoof doel van die opdrag is om die moderne portefeulje optimalisering onder regimes te oorweeg. Dit word aangeneem dat onwaarneembare regimes gemoduleer word deur die tydveranderende Markov proses. Hierdie modelle is welbekend as Markov regime oorskakelings modelle. Die Markov regime oorskakelings modelle word toegepas op ‘n portefeulje wat bestaan uit ‘n sloer model en ‘n faktor model. Die sloer model verteenwoordig ‘n portefeulje van 20 aandele wat vir ‘n dag sloer en dan eers geklassifiseer word in regimes waar die faktor model 5 verskillende globale risiko faktore gebruik of meet naamlik, die 3 Fama-French faktore, VIX en die verspreiding tussen die 3-maande JIBAR koers en SAFEX oornag koers om te bepaal wat die onwaarneembare regimes vir die potefeulje is. Hierdie opdrag oorweeg twee regimes. Twee regimes word geklassifiseer deur die bul en die beer markte, periodes wanneer die finansi¨ele mark opwaarts neig en wanneer die mark afwaards neig. Daarna word optimalisering gedoen deur die skatting van die regimes in ag te neem en die optimale portefeulje allokasies te verkry. Optimalisering metodes soos die Sharp verhouding metode en risiko begroting metode word nagevors. Vir elkeen van die optimalisering metodes is die portefeuljes weer gebalanseer om die finansi¨ele mark te evalueer aan die begin van die nuwe bellegings periode. Dit word dan geklassifiseer in ‘n nuwe regime, of dit bly dieselfde en die portefeulje gewig word daar volgens aangepas. Portefeulje optimalisering insluitend die regimes word dan vergelyk met die klassieke moderne portefeulje optimalisering sonder om die regimes in ag te neem. Resultate wys dat portefeulje optimalisering wat regimes insluit, verkry die hoogste Sharpe verhouding, dit dui die ekonomiese voordeel om die regime oorskakelings eienskappe in ‘n moderne portefeulje optimalisering. Masters 2022-03-04T12:54:39Z 2022-04-29T09:40:15Z 2022-03-04T12:54:39Z 2022-04-29T09:40:15Z 2022-04 Thesis http://hdl.handle.net/10019.1/124903 en_ZA Stellenbosch University application/pdf Stellenbosch : Stellenbosch University
spellingShingle Portfolio management -- South Africa
Investment management -- South Africa
Investment analysis -- South Africa
Business enterprises -- Finance
UCTD
Steenkamp, Cara Yvette
Modern portfolio optimisation under regime switching
title Modern portfolio optimisation under regime switching
title_full Modern portfolio optimisation under regime switching
title_fullStr Modern portfolio optimisation under regime switching
title_full_unstemmed Modern portfolio optimisation under regime switching
title_short Modern portfolio optimisation under regime switching
title_sort modern portfolio optimisation under regime switching
topic Portfolio management -- South Africa
Investment management -- South Africa
Investment analysis -- South Africa
Business enterprises -- Finance
UCTD
url http://hdl.handle.net/10019.1/124903
work_keys_str_mv AT steenkampcarayvette modernportfoliooptimisationunderregimeswitching