• Title/Summary/Keyword: The rate of interest

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Short Term Interest Rate Model Using Box-Cox Transformation

  • Choi, Young-Soo;Lee, Yoon-Dong
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.241-254
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    • 2007
  • This paper propose a new short-term interest rate model having a different nonlinear drift function and the same diffusion coefficient with Chan et al. (1992) model. The fractional polynomial power of the drift function in our model is linked to the local volatility elasticity of the diffusion coefficient. While the nonlinear drift function estimated by $A\"{\i}t$-Sahalia (1996a) and others has a feature that higher interest rates tend to revert downward and low rates upward, the drift function estimated by our nonlinear model shows that higher interest rate mean-reverts strongly, but, medium rates has almost zero drift and low rates has a very small drift. This characteristic coincides the empirical result based on the nonparametric methodology by Stanton (1997) and the implication by the scatter plot of the short rate data.

ON THE PARAMETIC INTEREST OF THE BLACK-SCHOLES EQUATION

  • Kananthai, Amnuay
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.923-929
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    • 2010
  • We have discovered some parametics $\lambda$ in the Black-Scholes equation which depend on the interest rate $\gamma$ and the Volatility $\sigma$ and later is named the parametic interest. On studying the parametic interest $\lambda$, we found that such $\lambda$ gives the sufficient condition for the existence of solutions of the Black-Scholes equation which is either weak or strong solutions.

Analysis of the Asymmetric Interest rate Adjustments in Banks and Non-Bank Depository Institutions (은행 및 비은행 예금취급기관의 비대칭적 금리조정 분석)

  • Eui-hwan Park
    • Asia-Pacific Journal of Business
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    • v.15 no.2
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    • pp.223-236
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    • 2024
  • Purpose - The purpose of the paper is to empirically investigate the asymmetric adjustment of loan and deposit interest rates among banks and non-bank depository institutions. Design/methodology/approach - We construct a VAR model using time series data comprising loan and deposit interest rates of banks and non-bank depository institutions, along with the call rate. Based on this model, we conduct impulse-response analysis and variance decomposition to investigate the dynamic relationship between the interest rates. Findings - In the case of banks and credit unions, the responses of deposit rates to the call rate are larger than the responses of loan rates, and we cannot find evidence of non-linear responses. In the case of savings banks, the responses of loan rates to the call rate are larger than the responses of deposit rates. The responses of loan rates to a positive call rate shock are statistically significant, while the responses of loan rates to a negative call rate shock are not statistically significant. Research implications or Originality - This study differs from previous research in that it examines the asymmetric response of loan and deposit rates of both banks and non-bank financial institutions to changes in the call rate. The implications for the impact of these findings on the financial system and income inequality are presented.

Forecasting Construction Economy Through a Regression Analysis between Annual Interest Rate and Contract Amount (금리와 건설수주간 회귀분석을 통한 건설경제 예측기법)

  • Yi, Kyoo-Jin
    • Journal of the Korea Institute of Building Construction
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    • v.10 no.5
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    • pp.31-36
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    • 2010
  • Rising interest rates positively affect investment in construction, while falling interest rates affect it negatively. In other words, the interest rate is one of the most critical factors affecting the construction sector. The purpose of this research is to analyze the relationship between the annual interest rate and construction contracts, and to present a model for quantitatively forecasting the economic performance of the construction sector. Based on the statistical data of interest rate changes for 19 years (from 1991 to 2009), this research induces an equation through regression analysis that incorporates interest rate and construction contract amounts as independent and dependent variables, respectively. The result of the analysis shows that, in the building and private sector, the interest rates are closely related to, with a correlation coefficient as high as 0.85. It was also indicated that the contract amounts of private and building sectors may increase quite rapidly in 2012.

A Study on the Profitability of the Commercial Bank in Terms of Interest Rate Marketization : Based on FMOLS Model (FMOLS 모형을 이용한 상업은행 수익성에 대한 연구 : 금리 시장화의 시각에서)

  • He, Yugang
    • The Journal of Industrial Distribution & Business
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    • v.9 no.8
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    • pp.41-50
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    • 2018
  • Purpose - As an important participant in the financial markets, the commercial bank will be impacted by the interest rate marketization. Owing to the special condition of China, this paper tries to explore the impact of operating mechanisms between interest rate marketization and the profitability of the commercial Bank. Research design, data and methodology - This paper applies time series data from 2005 to 2016. Due to the short period of time series, autocorrelation often occurs. Therefore, the fully modified least squares(FMOLS) will be used to conduct an empirical analysis. The reason is that it can move off the autocorrelation between variables and disturbance term. And FMOLS also can make estimated cointegrating parameters closed to normal distribution. More importantly, in order to avoid spurious regressions, the Augmented Dickey-Fuller Test will be used to verify the stationarity of all variables. The total return of asset is treated as the profitability of commercial bank. The net interest spread is treated as a measurement of interest rate marketization. Both are regarded as dependent variables. The non-interest income or gross revenues and impaired loans or gross loans are treated as independent variables. The sixteen representative listed commercial banks are divided into three categories (state-owned, share-holding and city-owned) to conduct an estimation. Results - Via empirical analysis, the findings show that the net interest spread has a positive effect on the profitability of the commercial bank. More specifically, 1% increase in the net interest spread will lead 0.157% increase in the profitability of state-owned commercial bank, 0.269% increase in the profitability of share-holding commercial bank and 0.263% increase in the profitability of city-owned commercial bank. If regarding the sixteen listed commercial city as a whole, 1% increase in the net interest spread will lead 0.267% increase in the profitability of the commercial bank. Conclusions - As the interest rate marketization, the importance of interest rate on the profitability of commercial bank has become more and more significant. The empirical evidences also prove that the net interest spread can bring about the change of the commercial bank's profitability. Therefore, policy-makers of commercial banks should fully understand the operating mechanism between them.

Risk Volatility Measurement: Evidence from Indonesian Stock Market

  • Rahmi, Mustika;Azma, Nurul;Muttaqin, Aminullah Achmad;Jazil, Thuba;Rahman, Mahfuzur
    • The Journal of Asian Finance, Economics and Business
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    • v.3 no.3
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    • pp.57-65
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    • 2016
  • The purpose of this paper is to investigate the volatility of both Islamic and conventional stock market in Indonesia with the aim of identifying the most appropriate model for risk management practice. The study considers GARCH as a genre of model to measure the volatility of stock market movement. The results support the view that each model shows specific volatility from both Islamic and conventional stock market in Indonesia. In Islamic stock market, volatility is affected by exchange rate and money supply (M1) but not interest rate as interest is prohibited in Islam. However, interest rate is found as a principal factor that affects volatility of conventional stock market. The outcomes of this paper are of particular significance to policy makers, as it provides guidelines to maintain economic health. Furthermore, the findings may assist practitioners to understand the consequences of macroeconomic factors such as exchange rate, money supply and interest rate, which are very crucial for the market stability of Indonesian stock market. The paper enhances the understanding of stock market volatility and proposes guidelines risk management practices.

Analysis of the relationship between interest rate spreads and stock returns by industry (금리 스프레드와 산업별 주식 수익률 관계 분석)

  • Kim, Kyuhyeong;Park, Jinsoo;Suh, Jihae
    • Journal of Intelligence and Information Systems
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    • v.28 no.3
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    • pp.105-117
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    • 2022
  • This study analyzes the effects between stock returns and interest rate spread, difference between long-term and short-term interest rate through the polynomial linear regression analysis. The existing research concentrated on the business forecast through the interest rate spread focusing on the US market. The previous studies verified the interest rate spread based on the leading indicators of business forecast by moderating the period of long-term/short-term interest rates and analyzing the degree of leading. After the 7th reform of composite indices of business indicators in Korea of 2006, the interest rate spread was included in the items of composing the business leading indicators, which is utilized till today. Nevertheless, there are a few research on stock returns of each industry and interest rate spread in domestic stock market. Therefore, this study analyzed the stock returns of each industry and interest rate spread targeting Korean stock market. This study selected the long-term/short-term interest rates with high causality through the regression analysis, and then understood the correlations with each leading period and industry. To overcome the limitation of the simple linear regression analysis, polynomial linear regression analysis is used, which raised explanatory power. As a result, the high causality was verified when using differences between returns of corporate bond(AA-) without guarantee for three years by leading six months and call rate returns as interest rate spread. In addition, analyzing the stock returns of each industry, the relation between the relevant interest rate spread and returns of the automobile industry was the closest. This study is significant in the aspect of verifying the causality of interest rate spread, business forecast, and stock returns in Korea. Even though it could be limited to forecast the stock price by using only the interest rate spread, it would be working as a strong factor when it is properly utilized with other various factors.

Positive Interest Rate Model in the Presence of Jumps

  • Rhee, Joonhee;Kim, Yoon Tae
    • Communications for Statistical Applications and Methods
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    • v.11 no.3
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    • pp.495-501
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    • 2004
  • HJM representation of the term structure of interest rates sometimes produces the negative interest rates with positive probability. This paper shows that the condition of positive interest rates can be derived from the jump diffusion process, if a proper positive martingale process with the compensated jump process is chosen. As in Flesaker and Hughston, the condition is incorporated into the bond price process.

Effect of the Spread on Housing Mortgage Loans (가산금리가 주택담보대출에 미치는 영향)

  • Kim, Woo Seok
    • Korea Real Estate Review
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    • v.28 no.4
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    • pp.75-88
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    • 2018
  • The purpose of this study is to analyze the effect of the spread on housing mortgage loans. In particular, this study analyzes how the spread has a decisive effect on housing mortgage loans when a structural change occurs in the spread. For the sake of empirical analysis, this study utilizes the housing mortgage loan, housing mortgage loan interest rate, COFIX interest rate, and spread. The period of analysis is from December 2010 to December 2017. Results of the analysis show that there is a statistically significant structural change in the spread and housing mortgage loans (May and June 2015, respectively). It is estimated that the structural change in the spread has an influence on the structural change in housing mortgage loans. In addition, the effect of the spread on housing mortgage loans is larger than the effect of the COFIX interest rate and the housing mortgage loan interest rate. This indicates that the adjustment of the spread is a significant burden on housing mortgage loans. As economic uncertainties both internally and externally are increasing, pressure on interest rate hikes is also increasing. Considering these circumstances, interest rate hikes will be inevitable in the future. If the base interest rate and the spread increase simultaneously at Korea's current economic level, it will obviously lead to an economic recession as the burden on the repayment of principal and interest of housing mortgage loans will increase. Therefore, it is imperative that financial authorities prepare institutional arrangements in order to protect financial consumers by preventing arbitrary calculation of the spread, which would not be objective and would not be transparent from the banks.

A Study on the relationship analysis between the K-REITs loaning rate and interest rate variables (K-REITs의 차입이자율과 금리 변수 간 관계 분석)

  • Kim, Sang-Jin;Lee, Joo-Hyung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.6
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    • pp.676-686
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    • 2016
  • This study analyzed the long term relationship between the K-REITs' lending rate and interest rate variables based on ARDL (autoregressive distributed lag) and also examined the short term relationship based on the ARDL-ECM model. In the results of the empirical test, there is a co-integration relationship among the K-REITs' lending rate, 3 year government bond (rate), 3 year government bond (rate), corporation bond (rate) (AA-, 3year) and general fund loan rate. This means that the K-REITs' lending rate is related to the long term interest rate. The corporate general fund loan rate has a significant correlation with the K-REITs' lending rate in the long term relation and short term adjustment process. The establishment of a management plan by the REITs considering the trends in the corporate general fund loan rate in the decision making process for finance sector borrowings can be practically helpful for the K-REITs.