scholarly journals Interest Rate Modelling in the Presence of Discontinuities and its Sensitivities

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Adaobi M. Udoye ◽  
Eka O. Ogbaji ◽  
Lukman S. Akinola ◽  
Maurice N. Annorzie
Keyword(s):  
Interest Rate ◽  
Real Life ◽  
Itô’S Formula ◽  
Vasicek Model ◽  
Risk Manager ◽  
Jump Model ◽  
Ito’S Formula ◽  
The Interest Rate ◽  
Good Risk ◽  
Measure Sensitivity

Abstract Interest rate paths experience discontinuities in the presence of certain factors. Much of the work on interest rate modelling has no consideration for effects of such unexpected occurrences in real life. A good risk manager needs to have a better model that considers possibility of unexpected occurrences. In this paper, we discuss step by step extension of Vasicek model to both jump model and jumpdiffusion model using Itô’s formula as the major tool. We also derive the greeks ‘delta’ and ‘vega’ that measure sensitivity of the interest rate with respect to both changes in its initial interest rate and volatility in an interbank rate.

Korean Treasury Bond Futures Pricing Model

2004 ◽  
Vol 12 (1) ◽  
pp. 1-22
Author(s):  
Youngsoo Choi ◽  
Se Jin O ◽  
Jae Yeong Seo
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Market Price ◽  
Alternative Methods ◽  
Vasicek Model ◽  
Market Participants ◽  
Treasury Bond ◽  
Cost Of Carry ◽  
The Interest Rate ◽  
The Cost

This paper proposes two alternative methods which are used for pricing the theoretical value of the KTB futures on the non-traded underlying asset; first method is to use the CKLS model, under which the volatility of interest rate changes is highly sensitive to the level of the interest rate, and then employ binomial trees to compute the theoretical value of futures, second one is to use the multifactor Vasicek model considering correlations between yields-to-maturity and then employ the Monte Carlo simulation to compute it. In the empirical study on KTB303 and KTB306, an CKLS methodology is superior to the conventional KORFX method based on the cost-of-carry model in terms of the size of difference between market price and theoretical price. However, the phenomena, the price discrepancy using the KOFEX methodology is very small for all test perlod, implies that the KOFEX one is being used for the most market participants. The reasons that an multifactor Vasicek methodlogy is performed poorly in comparison to another methods are 1) the Vasicek model might be not a good model for explaining the level of interest rates, or 2) the important point considered by the most market participants may be on the volatility or interest rate, not on the correlations between yields-to-maturity.

scholarly journals NUMERICAL STABILITY OF A HYBRID METHOD FOR PRICING OPTIONS

2019 ◽  
Vol 22 (07) ◽  
pp. 1950036
Author(s):  
MAYA BRIANI ◽  
LUCIA CARAMELLINO ◽  
GIULIA TERENZI ◽  
ANTONINO ZANETTE
Keyword(s):  
Interest Rate ◽  
Asset Price ◽  
Option Prices ◽  
Underlying Asset ◽  
Binomial Tree ◽  
Price Process ◽  
Pricing Options ◽  
Model Following ◽  
Jump Model ◽  
The Interest Rate

We develop and study stability properties of a hybrid approximation of functionals of the Bates jump model with stochastic interest rate that uses a tree method in the direction of the volatility and the interest rate and a finite-difference approach in order to handle the underlying asset price process. We also propose hybrid simulations for the model, following a binomial tree in the direction of both the volatility and the interest rate, and a space-continuous approximation for the underlying asset price process coming from a Euler–Maruyama type scheme. We test our numerical schemes by computing European and American option prices.

scholarly journals Perhitungan Iuran Normal Program Pensiun dengan Asumsi Suku Bunga Mengikuti Model Vasicek

2017 ◽  
Vol 7 (2) ◽  
pp. 85
Author(s):  
I Nyoman Widana ◽  
Ni Made Asih
Keyword(s):  
Interest Rate ◽  
National Development ◽  
Secondary Data ◽  
Pension Plan ◽  
Vasicek Model ◽  
Pension Program ◽  
The Government ◽  
The Interest Rate ◽  
Constant Interest Rate ◽  
Constant Interest

Labor has a very important role for national development. One way to optimize their productivity is to guarantee a certainty to earn income after retirement. Therefore the government and the private sector must have a program that can ensure the sustainability of this financial support. One option is a pension plan. The purpose of this study is to calculate the  normal cost  with the interest rate assumed to follow the Vasicek model and analyze the normal contribution of the pension program participants. Vasicek model is used to match with  the actual conditions. The method used in this research is the Projected Unit Credit Method and the Entry Age Normal method. The data source of this research is lecturers of FMIPA Unud. In addition, secondary data is also used in the form of the interest  rate of Bank Indonesia for the period of January 2006-December 2015. The results of this study indicate that  the older the age of the participants, when starting the pension program, the greater the first year normal cost  and the smaller the benefit which he or she  will get. Then, normal cost with constant interest rate  greater than normal cost with Vasicek interest rate. This occurs because the Vasicek model predicts interest between 4.8879%, up to 6.8384%. While constant interest is only 4.25%.  In addition, using normal cost that proportional to salary, it is found that the older the age of the participants the greater the proportion of the salary for normal cost.

The Role of Different Channels in Transmitting Monetary Policy into Output and Price in Vietnam

2015 ◽  
pp. 20-40
Author(s):  
Vinh Nguyen Thi Thuy
Keyword(s):  
Monetary Policy ◽  
Exchange Rate ◽  
Interest Rate ◽  
Money Supply ◽  
Monetary Transmission ◽  
Impulse Response Functions ◽  
Short Run ◽  
The Exchange Rate ◽  
The Interest Rate ◽  
Interest Rate Channel

The paper investigates the mechanism of monetary transmission in Vietnam through different channels - namely the interest rate channel, the exchange rate channel, the asset channel and the credit channel for the period January 1995 - October 2009. This study applies VAR analysis to evaluate the monetary transmission mechanisms to output and price level. To compare the relative importance of different channels for transmitting monetary policy, the paper estimates the impulse response functions and variance decompositions of variables. The empirical results show that the changes in money supply have a significant impact on output rather than price in the short run. The impacts of money supply on price and output are stronger through the exchange rate and credit channels, but however, are weaker through the interest rate channel. The impacts of monetary policy on output and inflation may be erroneous through the equity price channel because of the lack of an established and well-functioning stock market.

DETERMINAN INFLASI DI INDONESIA PERIODE 1980-2015

2016 ◽  
Vol 21 (1) ◽  
pp. 1-7
Author(s):  
Risna Risna
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Money Supply ◽  
Government Spending ◽  
Positive Impact ◽  
Secondary Data ◽  
Quantitative Approach ◽  
State Spending ◽  
Factors Affecting ◽  
The Interest Rate

This study aims to determine the effect of government spending, the money supply, the interest rate of Bank Indonesia against inflation.This study uses secondary data. Secondary data were obtained directly from the Central Bureau of Statistics and Bank Indonesia. It can be said that there are factors affecting inflationas government spending, money supply, and interest rates BI. The reseach uses a quantitative approach to methods of e-views in the data. The results of analysis of three variables show that state spending significantand positive impact on inflationin Indonesia, the money supply significantand negative to inflationin Indonesia, BI rate a significantand positive impact on inflation in Indonesia

Insurance Companies and the Interest Rate

1953 ◽  
Vol 9 (4) ◽  
pp. 15-17
Author(s):  
Shelby Cullom Davis
Keyword(s):  
Interest Rate ◽  
Insurance Companies ◽  
The Interest Rate

Analyzing the financial and economic momentum as a result of changes in the interest rate

2020 ◽  
Vol 16 (9) ◽  
pp. 1656-1673
Author(s):  
V.V. Smirnov
Keyword(s):  
Interest Rate ◽  
Natural Gas ◽  
Central Bank ◽  
Crude Oil ◽  
Oil Prices ◽  
Global Capitalism ◽  
Positive Effects ◽  
Russian Economy ◽  
Oil And Natural Gas ◽  
The Interest Rate

Subject. The article discusses financial and economic momenta. Objectives. I determine financial and economic momenta as the interest rate changes in Russia. Methods. The study is based on a systems approach and the method of statistical analysis. Results. The Russian economy was found to strongly depend on prices for crude oil and natural gas, thus throwing Russia to the outskirts of the global capitalism, though keeping the status of an energy superpower, which ensures a sustainable growth in the global economy by increasing the external consumption and decreasing the domestic one. The devaluation of the national currency, a drop in tax revenue, etc. result from the decreased interest rate. They all require to increase M2 and the devalued retail loan in RUB, thus rising the GDP deflator. As for positive effects, the Central Bank operates sustainably, replenishes gold reserves and keeps the trade balance (positive balance), thus strengthening its resilience during a global drop in crude oil prices and the COVID-19 pandemic. The positive effects were discovered to result from a decreased in the interest rate, rather than keeping it low all the time. Conclusions and Relevance. As the interest rate may be, the financial and economic momentum in Russia depends on the volatility of the price for crude oil and natural gas. Lowering the interest rate and devaluing the national currency, the Central Bank preserves the resource structure of the Russian economy, strengthens its positions within the global capitalism and keeps its status of an energy superpower, thus reinforcing its resilience against a global drop in oil prices.

scholarly journals Risk Management for Bonds with Embedded Options

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 790
Author(s):  
Antonio Díaz ◽  
Marta Tolentino
Keyword(s):  
Risk Management ◽  
Interest Rate ◽  
Interest Rates ◽  
Interest Rate Risk ◽  
Interest Rate Models ◽  
Management Measures ◽  
Interest Rate Risk Management ◽  
Embedded Options ◽  
The Interest Rate ◽  
Interest Rate Change

This paper examines the behavior of the interest rate risk management measures for bonds with embedded options and studies factors it depends on. The contingent option exercise implies that both the pricing and the risk management of bonds requires modelling future interest rates. We use the Ho and Lee (HL) and Black, Derman, and Toy (BDT) consistent interest rate models. In addition, specific interest rate measures that consider the contingent cash-flow structure of these coupon-bearing bonds must be computed. In our empirical analysis, we obtained evidence that effective duration and effective convexity depend primarily on the level of the forward interest rate and volatility. In addition, the higher the interest rate change and the lower the volatility, the greater the differences in pricing of these bonds when using the HL or BDT models.

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