Diskretni HJM model za vrednotenje obrestnih finančnih instrumentov

delo diplomskega seminarja

Jan Škoberne (Author), Tomaž Košir (Mentor)

Abstract

Predstavil sem HJM model za vrednotenje obrestnih finančnih instrumentov in bolj specifičen HJM LIBOR model. Podal sem predpostavke modelov in razložil osnovne pojme. Pojasnil sem osnovni izrek vrednotenja in določil do tveganja nevtralno vrednotenje brezkuponskih obveznic. Ovrednotil sem obrestno dno in obrestno kapico ter prikazal uporabo na primeru. S pariteto sem pokazal povezavo v vrednotenju obrestne kapice in obrestnega dna. V večobdobnem HJM modelu sem vrednotil dogovor o terminski obrestni meri in terminske pogodbe. S HJM LIBOR modelom sem razložil različne izračune volatilnosti in določil izračune grških parametrov, s katerimi se zaščitimo pred tveganji obrestnih mer.

Keywords

obrestna kapica;obrestno dno;opcijska obrestna zamenjava;ščitenje;

Data

Language:	Slovenian
Year of publishing:	2021
Typology:	2.11 - Undergraduate Thesis
Organization:	UL FMF - Faculty of Mathematics and Physics
Publisher:	[J. Škoberne]
UDC:	519.8
COBISS:	58167811
Views:	855
Downloads:	125
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	HJM model for interest rate derivatives
Secondary abstract:	I presented the HJM model for pricing interest rate instruments and the more specific HJM LIBOR model. I introduced assumptions of the model and explained basic concepts. I explained basic risk neutral valuation theorem under the martingale condition. I evaluated caplet and floorlet as well as gave an example. I showed the parity relation that links values of caplet and floorlet. In the multiperiod HJM model I evaluated forward rate agreements and futures. I explained different ways of volatility computations with HJM LIBOR model and the greeks with which we can hedge against interest rate risks.
Secondary keywords:	interest rate cap;interest rate floor;swaption;hedging;
Type (COBISS):	Final seminar paper
Study programme:	0
Embargo end date (OpenAIRE):	1970-01-01
Thesis comment:	Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Finančna matematika - 1. stopnja
Pages:	26 str.
ID:	12589004