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An Attempt at Pricing Zero-Coupon Bonds under the Vasicek Model with a Mean Reverting Stochastic Volatility Factor / Ett Försök att Prisätta Nollkupongobligationer med hjälp av Vasicekmodellen med en Jämviktspendlande Stokastisk VolatilitetsfaktorNeander, Benjamin, Mattson, Victor January 2023 (has links)
Empirical evidence indicates that the volatility in asset prices is not constant, but varies over time. However, many simple models for asset pricing rest on an assumption of constancy. In this thesis we analyse the zero-coupon bond price under a two-factor Vasicek model, where both the short rate and its volatility follow Ornstein-Uhlenbeck processes. Yield curves based on the two-factor model are then compared to those obtained from the standard Vasicek model with constant volatility. The simulated yield curves from the two-factor model exhibit "humps" that can be observed in the market, but which cannot be obtained from the standard model. / Det finns empiriska bevis som indikerar att volatiliteten i finansiella marknader inte är konstant, utan varierar över tiden. Dock så utgår många enkla modeller för tillgångsprisättning från ett antagande om konstans. I det här examensarbetet analyserar vi priset på nollkupongobligationer under en stokastisk Vasicekmodell, där både den korta räntan och dess volatilitet följer Ornstein-Uhlenbeck processer. De räntekurvor som tas fram genom två-faktormodellen jämförs sedan med de kurvor som erhålls genom den enkla Vasicekmodellen med konstant volatilitet. De simulerade räntekurvorna från två-faktormodellen uppvisar "pucklar" som kan urskiljas i marknaden, men som inte kan erhållas genom standardmodellen.
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[pt] DEMOGRAFÍA E TAXA DE JUROS REAL NA ECONOMIA DOS EUA / [en] DEMOGRAPHICS AND REAL INTEREST RATE IN THE US ECONOMYALEX AVELINO CARRASCO MARTINEZ 08 February 2021 (has links)
[pt] Eu desenvolvo um modelo de gerações sobrepostas com crescimento
salarial ao longo do ciclo de vida (LCWP, por sua sigla em inglês), taxa de
mortalidade dependente da idade, restrições de liquidez e rigidez nominal.
O modelo é calibrado para capturar a transição demográfica dos EUA,
estimativas de LCWP e outras características importantes da economia dos
EUA durante o período 3;72-4239. O modelo é usado para examinar a relação
entre dados demográficos e taxas de juros reais assim como os principais
mecanismos de transmissão em jogo. Eu encontro que o rápido aumento da
população em idade ativa entre 3;72 e 3;:2 contribuiu significativamente
para o aumento das taxas de juros reais. A reversão desse processo,
juntamente com o aumento da expectativa de vida, desencadeou um rápido
declínio nas taxas de juros desde então. A heterogeneidade na propensão
marginal a consumir entre os trabalhadores desempenha um papel
importante na conexão desses movimentos de fertilidade e taxa de juros real.
Num exercício adicional, devido à evidência de grandes erros de previsão da
expectativa de vida, eu estendo o modelo com um processo de aprendizado
sobre longevidade e encontro que ele pode aumentar significativamente a
relevância de fatores demográficos na explicação dos movimentos reais das
taxas de juros. Por fim, encontro que a falha dos bancos centrais em levar
em conta a relação entre dados demográficos e taxas de juros pode gerar,
devido a mudanças não monitoradas na taxa de juros natural, variações na
taxa de inflação. / [en] I develop an overlapping generations model with life cycle wage profile
(LCWP), age-dependent mortality rate, liquidity constraints, and nominal
rigidities. The model is calibrated to capture US demographic transition,
LCWP estimations, and other salient features of the US economy during
3;72-4239. The model is then used to examine the relationship between
demographics and real interest rates and the main transmission mechanisms
in play. I find that the rapid increase in the working age population from
3;72-3;:2s has significantly contributed to the rise of real interest rates.
The reversion of this process together with the increase in life expectancy
triggered a rapid decline in the interest rates ever since. The heterogeneity
in the marginal propensity to consume among workers plays a major role
in connecting these fertility and real interest rate movements.
In an additional exercise, due to the evidence on large life expectancy
forecast errors, I introduce a learning process about longevity and find
that it can significantly a ugment t he r elevance o f d emographic f actors in
explaining real interest rate movements. Finally, I find t hat t he central
banks failure to recognize the relationship between demographics and
interest rates can generate, due to unaccounted changes in the natural
interest rate, inflation rate variations.
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Nyproduktionens räntekänslighet : En studie om hur uppförandet av flerbostadshus har påverkats av ökade räntekostnader / The interest sensitivity of newly produced apartments : A study on how the construction of apartment buildings has been affected by increased interest costsDiep, Julia, Ståhlgren, Emmie January 2002 (has links)
No description available.
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Avaliação do risco de juros dos depósitos de poupançaMontenegro, Manuela de Albuquerque 20 January 2016 (has links)
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Previous issue date: 2016-01-20 / The non-maturing deposits are an important source of funding for financial institutions, and imposes a challenge on risk market and liquidity management because of the lack of contractual maturity. The depositors can withdraw the invested amount, as well as investing new amounts, without any contractual penalties. Currently, there is no regulatory standard model to measure de interest rate risk and capital requirements for this accounts. However, there are new regulatory demands that, among other things, aim to standardize the non-maturing accounts models, increasing the comparability between financial institutions risk profiles. These regulatory demands increase the need of quantitative models that defines the run-off profile of this accounts or the evolution of the deposits account volumes through time. This study proposes an approach to model the expected deposits cash flows which will enable to measure the interest rate risk and present its application under the new regulatory rules for capital requirement that are been proposed. As a result we calculate the interest rate risk and the capital requirement for a hypothetical balance sheet. / Os depósitos sem vencimento são uma importante fonte de funding das instituições financeiras, e apresentam um desafio na gestão dos riscos de juros e liquidez, por não apresentarem um vencimento definido. Os depositantes podem sacar o montante de suas aplicações, bem como aportar novos volumes, a qualquer tempo sem a incidência de penalidades. Atualmente não há um modelo regulatório padronizado para mensurar o risco de juros desses produtos, bem como seu requerimento de capital. No entanto, novas regulamentações tem surgido com o intuito de, dentre outras coisas, trazer certa padronização para a modelagem dos depósitos sem vencimento, aumentando a comparabilidade do perfil de risco entre instituições financeiras. Essas regulamentações aumentam a necessidade de modelos quantitativos que definam um perfil de run-off da carteira ou de evolução dessa carteira no tempo. Este estudo tem como objetivo propor uma abordagem para modelar os fluxos de caixa esperados dos depósitos de poupança que possibilitará calcular o risco de mercado e apresentar sua aplicação dentro das novas normas de requerimento de capital que estão sendo propostas. Como resultado calculamos o risco de mercado e requerimento de capital para um balanço teórico.
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IRRBB in a Low Interest Rate Environment / : IRRBB i en lågräntemiljöBerg, Simon, Elfström, Victor January 2020 (has links)
Financial institutions are exposed to several different types of risk. One of the risks that can have a significant impact is the interest rate risk in the bank book (IRRBB). In 2018, the European Banking Authority (EBA) released a regulation on IRRBB to ensure that institutions make adequate risk calculations. This article proposes an IRRBB model that follows EBA's regulations. Among other things, this framework contains a deterministic stress test of the risk-free yield curve, in addition to this, two different types of stochastic stress tests of the yield curve were made. The results show that the deterministic stress tests give the highest risk, but that the outcomes are considered less likely to occur compared to the outcomes generated by the stochastic models. It is also demonstrated that EBA's proposal for a stress model could be better adapted to the low interest rate environment that we experience now. Furthermore, a discussion is held on the need for a more standardized framework to clarify, both for the institutions themselves and the supervisory authorities, the risks that institutes are exposed to. / Finansiella institutioner är exponerade mot flera olika typer av risker. En av de risker som kan ha en stor påverkan är ränterisk i bankboken (IRRBB). 2018 släppte European Banking Authority (EBA) ett regelverk gällande IRRBB som ska se till att institutioner gör tillräckliga riskberäkningar. Detta papper föreslår en IRRBB modell som följer EBAs regelverk. Detta regelverk innehåller bland annat ett deterministiskt stresstest av den riskfria avkastningskurvan, utöver detta så gjordes två olika typer av stokastiska stresstest av avkastningskurvan. Resultatet visar att de deterministiska stresstesten ger högst riskutslag men att utfallen anses vara mindre sannolika att inträffa jämfört med utfallen som de stokastiska modellera genererade. Det påvisas även att EBAs förslag på stressmodell skulle kunna anpassas bättre mot den lågräntemiljö som vi för tillfället befinner oss i. Vidare förs en diskussion gällande ett behov av ett mer standardiserat ramverk för att tydliggöra, både för institutioner själva och samt övervakande myndigheter, vilka risker institutioner utsätts för.
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Fastighetsbolagens kapplöpning till börsen : En kvantitativ studie över makroekonomiska faktorers påverkan på antalet börsintroduktioner / The IPO-race of Real Estate Firms : The dynamic impact of macroeconomical factorsEkman, Emelie, Bergkvist, Frida January 2015 (has links)
Syfte: Studien syftar till att visa hur och varför volymen börsnoteringar av fastighetsbolag varierat över tid och hur denna volym har påverkats av det ekonomiska klimatet. Metod: Studien baseras på en kvantitativ metod. Multipel regressionsanalys tillämpas där makroekonomiska faktorers förklaringsvärde för volymen börsintroduktioner av fastighetsbolag undersöks. Teoretisk referensram: Det teoretiska ramverk som används i denna studie har sin primära utgångspunkt i tidigare forskning gjorda på börsnoteringar. Vidare har The Fisher Di Pasquale Wheaton model använts för att få en djupare förståelse för fastighetsbranschens mekanismer. Kopplingen till aktiemarknaden har sitt ursprung i Den effektiva marknadshypotesen tillsammans med The capital demand hypothesis. Resultat: Denna studie finner ett negativt samband mellan antalet introduktioner av fastighetsbolag samt det aktuella ränte- och konjunkturläget. Aktieprisutvecklingen bland fastighetsbolag och volatilitet på fastighetsaktiemarknaden har båda ett positivt samband med antalet introduktioner av fastighetsbolag. Denna studie finner inget samband mellan antalet introduktioner av fastighetsbolag och inflationsnivå. / Objective: This thesis aims to gain a deeper understanding of IPO activity by real estate firms, and why its volume varies over time. The objective is also to obtain the impacts of macroeconomic factors on the volumes of initial public offerings. Method: This study uses a quantitative method were macroeconomic factors will be used as predictors in a multiple regression analysis. Further, IPO volumes of real estate firms will be considered as the constant. Theorethical references: The basic theories that are used in this thesis are Efficient Market Hypothesis, the FDW-model, and The Capital Demand Hypothesis. Previous thesis that covers IPOs are considered as the fundmental basis of this study. Results: The results shows a negative correlation between the IPO volumes of real estate firms, and the interest rate, as well as the economic cycle. Hence, this study finds a positive correlation between stock prices and the volatility at the stock market. The results don’t find any significant correlation between IPO volumes and the inflation rate.
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Die gebruik van verhoudingsgetalle om kapitaaltoereikendheid van bankinstellings te ontleedBrink, Arend 01 1900 (has links)
Text in Afrikkans / Summaries in English and Afrikaans / The capital-adequacy problem is essentially concerned with the amount of capital that a bank should
maintain in order to conduct its operations in a prudent manner. Because one of the primary
functions of bank capital is to act as a risk cushion for the protection of a bank's depositors, a bank's
capital funds are often regarded as comprising an insurance element. The capital-adequacy concept,
therefore, may be seen as part of the overall banking risk, or prudential management.
An attempt has been made to indicate that bank supervisors should use not only capital ratios when
analysing a bank's capital position. Other factors, such as asset quality and other financial risks,
should also be taken in consideration.
Financial ratio analysis, however, provides bank supervisors with useful information. When
combining ratio analysis with non-quantifiable factors, bank supervisors may indeed achieve their goal
of determining capital adequacy. / Die kapitaaltoereikendheidsprobleem is hoofsaaklik gebaseer op die hoeveelheid kapitaal waaroor 'n
bankinstelling moet beskik, ten einde die bankbesigheid op 'n verstandige wyse te bedryf. Een van
die primere funksies van kapitaal is om te dien as verliesabsorberingsbuffer ter beskerming van 'n
bankinstelling se deposante, en daarom word toereikende kapitaal dikwels geag om 'n soort
versekeringselement te bevat. Die konsep van kapitaaltoereikendheid kan dus beskou word as deel
van die totale risikobestuurskonsep.
Daar is tydens die studie gepoog om aan te dui dat banktoesighouers nie net kapitaalverhoudings
behoort te gebruik om 'n bankinstelling se kapitaalposisie te ontleed nie. Ander faktore, soos
batekwaliteit en antler finansiele risiko's, moet ook in ag geneem word.
Finansiele verhoudingsgetalontledings voorsien banktoesighouers van waardevolle inligting. Indien
verhoudingsgetalle egter met nie-gekwantifiseerde inligting gekombineer sou word, kan
banktoesighouers hul doel om kapitaaltoereikendheid te bepaal, bereik. / M.Com. (Business Management)
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Post Keynesian monetary theory and its implications for monetary policy in South AfricaJackson, Michael Keith Caulton 06 1900 (has links)
The theoretical foundations of the Post Keynesian view of money are examined,
including the nature of money, role of uncertainty and time, and the use of
equilibrium concepts. This provides a backdrop against which the Post
Keynesian analysis of interest rates, investment behaviour: inflation and
demand determination is presented in a framework of non-neutral money and
Keynes' principle of effective demand. A model of the Post Keynesian theory of
money is presented, with arguments as to why the IS/LM model of the
neoclassical synthesis is considered deficient. The money supply endogeneity
view is explored, together with Keynes' finance motive. The open economy
case is considered, with emphasis on a small open economy. The monetary
policy perspectives of the Post Keynesian camp are examined. The implications
for South Africa are considered in respect of money supply targeting, interest
rate policy, anti-inflation measures, public debt management, exchange rates
and Reserve Bank objectives. / Economics / M.A. (Economics)
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反向房屋抵押貸款最適可貸金額的數學模型 / A Mathematical Model for Finding the Best Payments of Reverse Mortgage陳治宗, Chen, Chih Tzung Unknown Date (has links)
隨著科技、醫療技術的進步,全世界的死亡率逐年下降,導致人口高齡化、扶老比逐年增加等問題,在這些問題下,退休老人是否有足夠的退休金來維持生活品質是每個人都很關心的議題。本論文探討反向房屋抵押貸款在台灣的應用來維持退休老人生活品質,在承做反向房屋抵押貸款得過程中,影響最大的三個因素分別為死亡率模型、房屋價值模型與利率模型。本論文中的死亡率模型採用Lee 與Carter 的死亡率模型;利率模型採用CIR-SR (Cox、Ingersoll 與Ross)模型;房價模型則是採用ARIMA 模型與布朗運動模型。最後利用台灣死亡率、利率與房價的資料進行模擬,針對各個不同的情境做分析,使用無套利的定價模型計算
反向房屋貸款在台灣的最適可貸金額。 / Progressions of technology and medical treatment has caused the dropping of death rates which raised the aging population problem. Under this circumstance, maintaining good quality of life after retirement is an issue that many of us concerned. This paper discusses how the use of reverse mortgage may help us to accomplish a
quality retirement life. In addition to that, we apply the Lee-Carter model, CIR-SR model, and ARIMA model to forecast mortality, interest rate, and house prices respectively. Finally, we use the statistic from Taiwan to simulate several scenarios, and then use the no arbitrage pricing model to find the best payments of reverse mortgage.
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利用主成份分析法探討外匯市場風險 / Discussions of Risks in Currency Markets from the Perspective of Principal Component Analysis郭芝岑, Kuo, Chih Chin Unknown Date (has links)
本文主要在探討在較為短的時間段以及不同的金融環境之下,是否仍然能捕捉到匯率市場中主要解釋投組報酬變動的共同風險因子-平均超額報酬以及利差報酬。我們依據重要金融事件將全樣本分為八個子樣本;總共使用39種幣別並將1983年11月至2015年10月的遠期貼水由小到大排序後,依序建構六個投資組合。全文以美國投資者的觀點出發。結果顯示平均超額報酬無論是在長期或短期的時間段下,仍然為匯率市場中解釋匯率報酬變動的主要風險因子。然而,利差報酬則不然。在銀行危機期間,利差報酬與第二主要成分之相關係數皆為高度負相關。近期自2008年次貸危機開始,利差報酬與解釋投組變動的第二主要成分之相關係數也從先前的0.8~0.9降至-0.80.此結果顯示利差交易似乎在次貸危機之後有所轉變。此外利差風險因子無法有效的解釋動能報酬。 / This paper investigates whether or not the common risk factors, dollar and carry trade risk, in currency markets proposed by Lustig, Roussanov and Verdelhan (2011) will still exist even under a short-run period with a concern of different financial backgrounds. A split of full sample into eight subsamples with respect of financial events is made. A total of 39 currencies is used to build six portfolios on the basis of the forward discounts from November 1983 to October 2015. The whole paper is in the view of an American investor. The finding suggests that under both long-run and short-run period, the dollar return is always the common factor in currency markets. However, it is not the same case for the carry trade return. During bank crises, the carry trade return is strongly negative correlated with the second component. The carry trade return turns out to have a negative correlation with the second component during and after the subprime crisis, decreasing from 0.8~0.9 in the previous subsamples to -0.80. It indicates that the desirability of carry trade activities has changed since the subprime crisis. Besides, the carry trade risk has a little power to explain the variations of momentum returns.
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