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Stohastično modeliranje krivulje donosnosti z ekonomsko interpretabilnimi faktorji : magistrsko delo
ID Šavli, Karolina (Author), ID Perman, Mihael (Mentor) More about this mentor... This link opens in a new window, ID Jerovšek, Jure (Comentor)

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Abstract
Model dolgoročne ravnovesne obrestne mere (angl. Terminal Rate Model, TRM) je model za opisovanje in analizo krivulj donosnosti. Spada v družino modelov oblike Nelson-Siegel in krivuljo donosnosti določa s štirimi faktorji, ki predstavljajo kratkoročno obrestno mero, dolgoročno naravno obrestno mero ter dva faktorja terminske premije. Model je uporaben zaradi svoje interpretabilnosti, saj omogoča razčlenitev krivulje donosnosti na ekonomsko razumljive komponente. Omogoča tudi neposredno dekompozicijo donosnosti na donosnost brez tveganja in terminsko premijo. Rezultati kažejo, da TRM dobro opiše obliko krivulje donosnosti, smiselna pa je tudi terminska premija, ki jo predlaga. Dinamika faktorjev modela TRM sledi modelu VAR(1), zato je model uporaben tudi za oblikovanje makroekonomskih scenarijev, in sicer s prilagoditvijo prehodne matrike modela VAR(1). Generirani makroekonomski scenariji se lahko uporabijo pri oblikovanju optimalnih portfeljev. Namesto da bi portfelj izbrali zgolj na podlagi ene napovedi ali zgodovinskih podatkov, scenariji pokažejo, kaj se zgodi z donosnostjo, tveganjem in optimalnimi utežmi portfelja ob različnih predpostavkah. S tem lahko ocenimo, ali je izbrani portfelj robusten v več možnih okoljih ali pa deluje dobro le v zelo specifičnem scenariju.

Language:Slovenian
Keywords:krivulja donosnosti, donosnost, donos, terminska premija, scenarijska analiza, strateška alokacija naložb, naravna obrestna mera
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FMF - Faculty of Mathematics and Physics
Year:2026
PID:20.500.12556/RUL-189058 This link opens in a new window
COBISS.SI-ID:293128451 This link opens in a new window
Publication date in RUL:01.10.2026
Views:22
Downloads:5
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Secondary language

Language:English
Title:Stochastic yield curve modeling with economically interpretable factors
Abstract:
The Terminal Rate Model (TRM) is a yield curve model that belongs to the Nelson-Siegel family and defines the yield curve using four factors, representing the short-term interest rate, the long-term natural interest rate, and two term premium factors. The model is useful because of its interpretability, as it decomposes the yield curve into economically meaningful components. It also allows for a direct decomposition of yields into risk-free yields and the term premium. Results show that the TRM describes the shape of the yield curve well and that the term premium it implies is meaningful. The TRM factors follow a VAR(1) model, which makes the model useful for constructing macroeconomic scenarios by adjusting the transition matrix of the VAR(1) model. The generated scenarios can be used in optimal portfolio construction. Rather than selecting a portfolio solely based on a single forecast or historical data, the scenarios show what happens to returns, risk, and optimal portfolio weights under different assumptions. This allows us to assess whether the selected portfolio is robust across several possible environments or performs well only in a specific scenario.

Keywords:yield curve, yield, return, term premium, scenario analysis, strategic asset allocation, natural interest rate

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