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Optimal Capital Structures under the Vasicek Stochastic Interest Rate Model
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2023 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Optimala kapitalstrukturer med en Vasicek-stokastisk räntemodell (Swedish)
Abstract [en]

This study applies the Vasicek stochastic interest rate model in order to determine optimal capital structures for listed firms. A Swedish interest rate data set is used to estimate Vasicek model parameter that are reliable and independent of initial start values. These interest rate parameters are then used in a capital structure model which is evaluated through a sensitivity analysis and a firm-specific analysis which is applied to listed Swedish firms. The tax benefits of debt must be balanced against transaction costs and bankruptcy costs when determining optimal leverage ratio and optimal debt maturity. The results imply that firms should primarily focus on the long-term mean parameter of the interest rate process, the volatility of its firm value, the transaction cost of issuing debt and the effective corporate tax rate when choosing a capital structure. The capital structure model is well-founded in previous research and yields results which align with empirical data quite well. The conclusions of this study has implications for corporate finance, as the Vasicek model provides a better understanding of the stochastic nature of interest rates and its influence in determining optimal capital structures.

Abstract [sv]

Denna studie tillämpar Vasiceks stokastiska räntemodell för att bestämma optimala kapitalstrukturer för noterade företag. Vasicekmodellen anpassas till ett Svensk dataset över räntor för att estimera parametrar. Dessa parametrar används sedan i en kapitalstruktursmodell för att analysera modellens känslighet för variationer i parametrar samt för att härleda optimala kapitalstrukturer för en rad Svenska noterade bolag. Skattefördelarna av skuld måste balanseras mot transaktionskostnader av skuldemissioner och konkurskostnader vid bestämning av optimal skuldsättningsgrad och optimal skuldlöptid. Resultaten antyder att företag bör primärt fokusera på det långsiktiga medelvärdet av den stokastiska ränteprocessen, volatiliteten av bolagsvärdet, transaktionskostnaden av skuldemissioner och effektiva bolagsskatten när de väljer en kapitalstruktur. Denna studie har implikationer för finansieringsteori då Vasiceks modell närmare modellerar räntors stokastiska dynamiker och dess påverkan på bestämning av bolags kapitalstrukturer.

Place, publisher, year, edition, pages
2023. , p. 49
Series
TRITA-SCI-GRU ; 2023:313
Keywords [en]
Vasicek model, stochastic interest rate model, optimal capital structures, tax benefits, bankruptcy costs, transaction costs, optimal leverage ratio, optimal debt maturity
Keywords [sv]
Vasicekmodell, stokastisk räntemodell, optimala kapitalstrukturer, skattefördelar, konkurskostnader, transaktionskostnader, optimal belåningsgrad, optimal löptid
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-337187OAI: oai:DiVA.org:kth-337187DiVA, id: diva2:1800535
External cooperation
Nordea - Corporates, Institutions and Investment Banking
Subject / course
Financial Mathematics
Educational program
Master of Science - Applied and Computational Mathematics
Supervisors
Examiners
Available from: 2023-09-27 Created: 2023-09-27 Last updated: 2023-09-27Bibliographically approved

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