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Resource type: article, chapter

Kwalifikacja ryzyka. Extension of Khang`s immunization formula (RB-2000-86-05)

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Title Kwalifikacja ryzyka. Extension of Khang`s immunization formula (RB-2000-86-05)
Persons Authors: Leszek Saturnin Zaremba, Grzegorz Rządkowski
Partner: Systems Research Institute Polish Academy of Sciences, Warsaw
Description The paper presents two theorems on immunization in the continuous context when a liability consists of a single outflow at a known future date. It is assumed in Theorem 1 that interest rates h(0,t) shift to their new values h*(0,t)=h(0,t)+f(lambda)a(t) where lambda is a random parameter “chosen” by a financial market under consideration, while a(t) is a continuous function and f (lambda) is twice continuously differentiable with f (0)=0, f'(0)!=0 . It is proved that the local immunization is achieved and a formula for the immunizing duration is derived. Theorem 2 provides a formula for the immunizing duration of a portfolio combined with two cash flows in given proportions. These two theorems extend validity of all similar type results presented by Bierwag (1983). (English)
Keywords "czas trwania uodporniania"@pl, "term structure"@en, "przepływy pieniężne"@pl, "ciągłe wstrząsy"@pl, "struktura terminowa"@pl, "money flows"@en, "immunizing duration"@en, "continuous shocks"@en
Classification Resource type: article, chapter
Scientific discipline: Dziedzina nauk społecznych / ekonomia i finanse (2018)
Destination group: pupils, students, scientists
Harmful content: No
Characteristics Title of source document: RB-2000-86-05
Place of publication: Warszawa
Publisher: IBSPAN
Time of publication: 2000
From page: 1
To page: 14
Resource language: English
License CC BY-SA 4.0
Technical information Submitter: Anna Wasilewska
Availability date: 23-12-2022
Collections Kolekcja Instytutu Badań Systemowych PAN w Warszawie

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Leszek Saturnin Zaremba, Grzegorz Rządkowski. Kwalifikacja ryzyka. Extension of Khang`s immunization formula (RB-2000-86-05). [article, chapter] Available in Atlas of Open Science Resources, . License: CC BY-SA 4.0, https://creativecommons.org/licenses/by-sa/4.0/legalcode.pl. Date of access: DD.MM.RRRR.

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