• Title/Summary/Keyword: 채권 기간구조

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Numerical Analysis and Simulation for the Pricing of Bond on Term-Structure Interest Rate model with Jump (점프 항을 포함하는 이자율 기간구조 모형의 채권 가격결정을 위한 수치적 분석 및 시뮬레이션)

  • Kisoeb Park
    • Journal of Internet Computing and Services
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    • v.25 no.2
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    • pp.93-99
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    • 2024
  • In this paper, we derive the Partial Differential Bond Price Equation (PDBPE) by using Ito's Lemma to determine the pricing of bond on term-structure of interest rate (TSIR) model with jump. From PDBPE, the Maclaurin series (MS) and the moment-generating function (MGF) for the exponential function are used to obtain a numerical solution (NS) of the bond prices. And an algorithm for determining bond prices using Monte Carlo Simulation (MCS) techniques is proposed, and the pricing of bond is determined through the simulation process. Comparing the results of the implementation of the above two pricing methods, the relative error (RE) is obtained, which means the ratio of NS and MCS. From the results, we can confirm that the RE is less than around 2.2%, which means that the pricing of bond can be predicted very accurately using the proposed algorithms as well as numerical analysis. Moreover, it was confirmed that the bond price obtained using the MS has a relatively smaller error than the pricing of bond obtained by using the MGF.

The effect of corporate risk on Korean bond market (기업의 위험이 회사채 수익률에 미치는 영향)

  • Choe, Yong-Shik;Choi, Jong-Yoon
    • Journal of Digital Convergence
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    • v.16 no.12
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    • pp.175-183
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    • 2018
  • This study analyzes determinants of bond returns in terms of systematic risk versus idiosyncratic risk by examining relationship among those factors. First we examined the cross-sectional determinants of corporate bond returns with Korean bond market data from 2001 to 2014. This paper uses term factor and default factor for systematic risk, and duration factor and credit rating factor for idiosyncratic risk. The empirical result shows that systematic risk can explain cross-sectional differences of bond returns rather than idiosyncratic risk which is the same result in advanced markets(US or Europe). This result is different from the previous Korean studies which showed that idiosyncratic risk is more important than systematic risk in Korean bond market. The reason for the different result may be the longer sample period which includes the most recent period. It is insisted that Korean bond market is getting more synchronized with the advanced bond market. In conclusion, this empirical result implies that Korean bond portfolio managers should focus on systematic risk, which is contrary to current system in Korean asset management industry.

A Study on the Determinants of Debt Maturity Structure of Listed Manufacturing Companies in Different Firm Size (상장제조기업의 기업규모별 부채만기구조 결정요인에 관한 연구)

  • Park, Soon-Sik
    • The Korean Journal of Financial Management
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    • v.18 no.2
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    • pp.27-55
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    • 2001
  • 본 연구는 기업의 부채만기와 결정요인의 관련성에 대한 이론적 논거를 제시하고 우리나라 상장제조기업을 대상으로 대기업과 중소기업으로 구분하여 기업규모별 부채만기 결정요인을 다중회귀분석으로 실증적으로 규명하고자 하였다. 실증적 분석 대상기간은 1995년부터 2000년까지 6개년으로 분석기간 동안 신용평가 전문기관으로부터 회사채 신용등급을 평가받은 제조기업 204개 기업을 표본으로 선정하여 분석하였다. 연구결과를 종합하면 우리나라 상장제조기업으로 대기업과 중소기업 모두 기업규모가 크고 레버리지가 높고 자산의 만기가 긴 고정자산을 많이 보유하고 있는 기업일수록 부채만기구조에서 장기부채를 많이 이용하고 있는 것으로 입증되었다. 성장옵션과 법인세율은 부채만기결정에 영향을 미치지 못하는 것으로 나타났으며 기업의 우량성과 유동성위험을 나타내는 수익증가율과 채권등급은 대기업의 주요 부채만기 결정요인으로 나타났다. 수익증가율이 크고 채권신용등급이 높은 우량대기업일수록 단기부채를 많이 이용하는 것으로 확인되었으며 중소기업은 기업의 우량성과 신용등급이 부채만기에 유의적인 영향을 미치지 않았다.

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Accurate Prediction of the Pricing of Bond Using Random Number Generation Scheme (난수 생성기법을 이용한 채권 가격의 정확한 예측)

  • Park, Ki-Soeb;Kim, Moon-Seong;Kim, Se-Ki
    • Journal of the Korea Society for Simulation
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    • v.17 no.3
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    • pp.19-26
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    • 2008
  • In this paper, we propose a dynamic prediction algorithm to predict the bond price using actual data set of treasure note (T-Note). The proposed algorithm is based on term structure model of the interest rates, which takes place in various financial modelling, such as the standard Gaussian Wiener process. To obtain cumulative distribution functions (CDFs) of actual data for the interest rate measurement used, we use the natural cubic spline (NCS) method, which is generally used as numerical methods for interpolation. Then we also use the random number generation scheme (RNGS) to calculate the pricing of bond through the obtained CDF. In empirical computer simulations, we show that the lower values of precision in the proposed prediction algorithm corresponds to sharper estimates. It is very reasonable on prediction.

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The Studies of the Stochastic Duration and the Relationship between Futures and Forward Prices under the Arbitrage-free Interest rate Model (차익거래 기회가 없는 이자율 변동모형 하에서 확률적 평균만기 및 선물가격과 선도가격과의 관계에 관한 연구)

  • Kang, Byong-Ho;Choi, Jong-Yeon
    • The Korean Journal of Financial Management
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    • v.19 no.2
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    • pp.27-48
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    • 2002
  • 본 논문은 이자율의 기간 구조가 차익 거래의 기회가 없도록 움직일 때 새로운 평균만기 측 정치인 AR 평균만기(arbitrage-free duration)을 도출하고 선물가격과 선도가격과의 관계를 분석한다. 지금까지 평균만기에 관한 많은 연구들은 수익률 곡선이 특정한 형태로 이동한다는 가정 하에서 평균만기를 유도하고 이에 근거하여 채권가격의 변동치를 측정하고 있다. 본 논문에서는 기존의 평균만기의 가정을 완화한 AR 평균만기를 도출하였다. 여기서 제시하는 AR 평균만기는 기존의 Macaulay 평균만기를 포함하는 일반화한 측정치라고 할 수 있다. 아울러 본 논문에서는 선물가격과 선도가격사이에 존재하는 이론적 관계를 규명하고자 하였다. 선물가격은 선도가격에 비해 할인된 가격이라는 것을 보이고 이자율 변동위험이 선물가격의 할인정도에 미치는 영향을 모형화 하였다. 최근 들어 선물을 이용한 채권 면역화에 대한 실증연구에 관심이 지속적으로 증가하고 있다. 전통적 실증연구 방법론에서는 먼저, 선물가격과 기초채권 가격사이에 존재하는 분산-공분산 행렬을 추정한다. 그런 후 추정된 분산-공분산 행렬을 바탕으로 이자율 위험 헤징 전략을 수립한 후 이 전략에 대한 실증 분석을 수행하였다. 그러나, 전통적 접근법의 가장 큰 문제는 비안정적(non-stationary)인 분산-공분산 행렬을 적절히 고려할 수 없었다는 점이다. 따라서, 본 연구의 결과를 기반으로 하면 최적의 헷징 전략을 수립하기 위한 이론적 기틀을 수립할 수 있을 것이다.

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An Overview of Readjustment Measures Against the Banking Industry's Non-Performing Loans (은행부실채권(銀行不實債權) 정리방안(整理方案)에 대한 고찰(考察))

  • Kim, Joon-kyung
    • KDI Journal of Economic Policy
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    • v.13 no.1
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    • pp.35-63
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    • 1991
  • Currently, Korea's banking industry holds a sizable amount of non-performing loans which stem from the government-led bailout of many troubled firms in the 1980s. Although this burden was somewhat relieved with the aid of banks' recapitalization in the booming securities market between 1986-88, the insolvent credits still resulted in low profitability in the banking sector and have been detrimental to the progress of financial liberalization and internationalization. This paper surveys the corporate bailout experiences of major advanced countries and Korea in the past and derives a rationale for readjustment measures against non-performing loans, in which rescue plans depend on the nature of the financial system. Considering the features of Korea's financial system and the banking sector's recent performance, it discusses possible means of liquidation in keeping with the rationale. The conflict of interests among parties involved in non-performing loans is widely known as one of the major constraints in writing off the loans. Specifically, in the case of Korea, the government's excessive intervention in allocating credits has preempted the legitimate role of the banking sector, which now only passively manages its past loans, and has implicitly confused private with public risk. This paper argues that to minimize the incidence of insolvent loan readjustment, the government's role should be reduced and that the correspondent banks should be more active in the liquidation process, through the market mechanism, reflecting their access to detailed information on the troubled firms. One solution is that banks, after classifying the insolvent loans by the lateness or possibility of repayment, would swap the relatively sound loans for preferred stock and gradually write off the bad ones by expanding the banks' retained earnings and revaluing the banks' assets. Specifically, the debt-equity swap can benefit both creditors and debtors in the sense that it raises the liquidity and profitability of bank assets and strengthens the debtor's financial structure by easing the debt service burden. Such a creditor-led or market-led solution improves the financial strength and autonomy of the banking sector, thereby fostering more efficient resource allocation and risk sharing.

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Analyzing the Effect of Changes in the Benchmark Policy Interest Rate Using a Term Structure Model (이자율 기간구조를 이용한 정책금리 변경의 효과 분석)

  • Song, Joonhyuk
    • KDI Journal of Economic Policy
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    • v.31 no.2
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    • pp.15-45
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    • 2009
  • This paper estimates the term structure of interest rates with the setup of 3-factor no arbitrage model and investigates the trend of term premia and the effectiveness of changes in policy interest rates. The term premia are found to be high in a three-year medium term objective, which can be interpreted as reflecting the recognition of investors who expect a higher uncertainty in real activities for the coming three years than for a longer term. Then, in order to look into the effect of policy interest rates after the recent change of benchmark interest rate, this paper analyzes the effects of the changes in short-term interest rates of the financial market on the yield curve of the bond market at time of change. Empirical results show that the discrepancy between call rate, short-term rate in money market, and instantaneous short rate, short-term rate in the bond market, is found to be significantly widened, comparing to the periods before the change in benchmark interest rate. It is not easy to conclude clearly for now whether such a widening gap is caused by the lack of experiences with managing new benchmark interest rate or is just an exceptional case due to the recent turmoil in the global financial market. However, monetary policy needs to be operated in a manner that could reduce the gap to enhance its effectiveness.

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Estimating the Term Structure of Interest Rates Using Mixture of Weighted Least Squares Support Vector Machines (가중 최소제곱 서포트벡터기계의 혼합모형을 이용한 수익률 기간구조 추정)

  • Nau, Sung-Kyun;Shim, Joo-Yong;Hwang, Chang-Ha
    • The Korean Journal of Applied Statistics
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    • v.21 no.1
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    • pp.159-168
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    • 2008
  • Since the term structure of interest rates (TSIR) has longitudinal data, we should consider as input variables both time left to maturity and time simultaneously to get a more useful and more efficient function estimation. However, since the resulting data set becomes very large, we need to develop a fast and reliable estimation method for large data set. Furthermore, it tends to overestimate TSIR because data are correlated. To solve these problems we propose a mixture of weighted least squares support vector machines. We recognize that the estimate is well smoothed and well explains effects of the third stock market crash in USA through applying the proposed method to the US Treasury bonds data.

The Effect of Policy Rate Adjustments in US on the Korean Bond (미국 연방정책금리 조정효과가 국내 국고채시장에 미치는 영향)

  • Park, Jae-Hwan;Kim, Chun-Kyu
    • The Journal of the Korea Contents Association
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    • v.13 no.9
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    • pp.344-354
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    • 2013
  • The objective of this study is to investigate the effects of FRB's policy rate adjustments on the 10 years Korea Treasury Bond (KTB) market. Our results are summarized as follows. First, it is found that the FRB's policy rate adjustments are statistically significant positive impact on the 10 years KTB yield. Based on projection, the 10bp increases in FRB's policy rate generates 7bp higher in 10 years KTB yield. Second, the result from after the Lehman bankruptcy in '08 is found to be statistically significant, while that of before financial crisis is not. Third, the variable, in which consistent with yield difference between the 10 years UTB(US Treasury Bond) and the 10 years KTB, is found that is statistically significant positive impact in 1% significance level. And also given that Brunner(2000) exhibited that the Federal Fund Rate innovations are found to impact on other economic variables through the impulse response, the 10 years KTB yield is found to respond to innovation in the Federal Fund Rate up to about 12 months.