Markov Branching Decision Chains with Interest-Rate-Dependent Rewards

1995 ◽  
Vol 9 (1) ◽  
pp. 99-121 ◽  
Author(s):  
Ying Huang ◽  
Arthur F. Veinott
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Optimal Policy ◽  
Linear Program ◽  
Present Value ◽  
Constraint Matrix ◽  
Rate Dependent ◽  
Markov Decision ◽  
The Interest Rate ◽  
The One

Finite-state-and-action Markov branching decision chains are studied with bounded endogenous expected population sizes and interest-rate-dependent one-period rewards that are analytic in the interest rate at zero. The existence of a stationary strong-maximum-present-value policy is established. Miller and Veinott's [1969] strong policy-improvement method is generalized to find in finite time a stationary n-present-value optimal policy and, when the one-period rewards are rational in the interest rate, a stationary strong-maximum-present-value policy. This extends previous studies of Blackwell [1962], Miller and Veinott [1969], Veinott [1974], and Rothblum [1974, 1975], in which the one-period rewards are independent of the interest rate, and Denardo [1971] in which semi-Markov decision chains with small interest rates are studied. The problem of finding a stationary n-present-value optimal policy is also formulated as a staircase linear program in which the objective function and right-hand sides, but not the constraint matrix, depend on the interest rate, and solutions for all small enough positive interest rates are sought. The optimal solutions of the primal and dual are polynomials in the reciprocal of the interest rate. A constructive rule is given for finding a stationary n-present-value optimal policy from an optimal solution of the asymptotic linear program. This generalizes the linear programming approaches for finding maximum-reward-rate and maximum-present-value policies for Markov decision chains studied by Manne [1960], d'Epenoux [1960, 1963], Balinski [1961], Derman [1962], Denardo and Fox [1968], Denardo [1970], Derman and Veinott [1972], Veinott [1973], and Hordijk and Kallenberg [1979, 1984].

scholarly journals ANALYSIS OF THE ECB MONETARY POLICY MATCH FOR THE NEEDS OF THE EURO AREA COUNTRIES NEEDS

Ekonomika ◽  
2013 ◽  
Vol 92 (3) ◽  
pp. 41-58
Author(s):  
Tomas Reichenbachas
Keyword(s):  
Monetary Policy ◽  
Interest Rate ◽  
Interest Rates ◽  
Euro Area ◽  
Taylor Rule ◽  
Currency Area ◽  
The Face ◽  
Asymmetric Shock ◽  
The Interest Rate ◽  
The One

Abstract. In this paper, using the Taylor rule (Taylor, 1993), the European Central Bank (ECB) monetary policy in 2000–2012, as well as individual interest rate needs of the euro area (EA) countries are analysed. It is assumed that the estimated Taylor rule interest rates are optimal for individual members. We have analysed whether the actual ECB interest rates and the calculated rates are different and have become more balanced towards individual countries’ needs. The work focuses attention on the last period (2008–2012) when the EA faced economic problems and an asymmetric shock. The analysis shows controversial results: on the one hand, the interest deviation mean decreases (just a little), but an increasing gap between individual needs can be seen: some countries are becoming increasingly divorced from the general EA needs. It makes them very vulnerable, and there is a risk that these countries in the face of asymmetric challenges can be “left behind” by the ECB focusing on the EA as a whole. Also, in this paper, the stationarity of the calculated deviations is analysed to help understand their nature. This approach is new, and the author is unaware of similar works. Analysis of the optimal interest rate dynamics has revealed that Germany needed the interest rates that were opposite to the needs of Spain and Greece and susceptible to divergence, so this led to the ECB difficulties in determining the proper interest for all countries’ needs. The EA as a currency area is most optimal for Belgium, Cyprus, Finland, France, Italy, and the Netherlands from the interest rate setting perspective.Key words: the Taylor rule, optimal monetary policy, asymmetric shocks, optimal currency area

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

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.

scholarly journals The Impact of Interest Rate Ceilings on Microfinance Industry

2015 ◽  
Vol 2 (2) ◽  
pp. 10
Author(s):  
Ali Saleh Alshebami ◽  
D. M. Khandare
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Low Income ◽  
Secondary Data ◽  
Research Subject ◽  
Access To Credit ◽  
The Poor ◽  
Good Intention ◽  
The Interest Rate ◽  
The Impact

<p>Imposing ceilings on the interest rate has recently become one of the new hottest topics in microfinance industry; various debates have been discussing this issue to know the effect of interest rate ceilings on the supply of credit in particular and on microfinance industry in general. However in spite of the good intention behind these ceilings, there was no absolute result stating that ceilings have really contributed to the improvement or protection of the poor clients, indeed, these ceilings have hurt those low income people instead of helping them, due to these ceilings most of MFIs left the market or reduced their scale due to the inability to continue operating with low interest rate leaving the very poor clients without access to credit. Thus, the purpose of this paper is to review the impact of imposing such ceilings on the interest rates and to find out what alterative solutions can be employed as substitutes for them. This paper is entirely based on the secondary data collected from various records related to microfinance such as microfinance books, official websites and reports, published papers, and other sources related to the research subject.</p>

scholarly journals Pengaruh Tingkat Suku Bunga, Inflasi Dan Nilai Kurs Terhadap Harga Saham Perusahaan Perhotelan Yang Terdaftar Di Bursa Efek Indonesia Per Triwulannya Periode 2016-2018

2021 ◽  
Vol 4 (2) ◽  
pp. 871-877
Author(s):  
Rahmat Dewa Bagas Nugraha ◽  
H.M Nursito
Keyword(s):  
Exchange Rate ◽  
Interest Rate ◽  
Exchange Rates ◽  
Interest Rates ◽  
Quantitative Study ◽  
Stock Prices ◽  
Stock Exchange ◽  
Secondary Data ◽  
Ratio Analysis ◽  
The Interest Rate

This study aims to determine and analyze the factors that affect stock prices through appropriate ratio analysis. As for the ratio of interest rates, inflation and exchange rates. Researchers want to know and analyze the effect partially or simultaneously between interest rates, inflation, and exchange rates on stock prices. This research is a quantitative study using secondary data. The object of this research is hotel companies listed on the Indonesia Stock Exchange for the period 2016-2018. The sample used in this study were 3 hotel with certain characteristics. The results of research simultaneously using the F test show that there is no influence between interest rates, inflation and exchange rates on stock prices because the calculated value is smaller than the table. Partially with the t test it can be concluded that there is no influence between interest rates on stock prices because the tcount value in the interest rate variable is smaller than the t table. Likewise, the t calculation of inflation and the exchange rate is smaller than the t table, so that there is no partial effect of the two variables on stock prices. Keywords: Stock Prices, Interest Rates, Inflation and Exchange Rates

scholarly journals Does the Interest Rate Form Business Cycle?

2019 ◽  
Vol 4 (1) ◽  
pp. 29-34
Author(s):  
Bijan Bidabad ◽  
Abul Hassan
Keyword(s):  
Interest Rate ◽  
Business Cycle ◽  
Interest Rates ◽  
Banking System ◽  
Real Economy ◽  
Short Term ◽  
The Usa ◽  
Rate Form ◽  
The Interest Rate

Dynamic structural behavior of depositor, bank and borrower and the role of banks in forming business cycle are investigated. We test the hypothesis that does banks behavior make oscillations in the economy through the interest rate. By dichotomizing banking activities into two markets of deposit and loan, we show that these two markets have non-synchronized structures, and this is why the money sector fluctuation starts. As a result, the fluctuation is transmitted to the real economy through saving and investment functions. Empirical results assert that in the USA, the banking system creates fluctuations in the money sector and real economy as well through short-term interest rates

INTEREST RATE TARGETS AND SPECULATIVE ATTACKS ON PUBLIC DEBT

2018 ◽  
Vol 23 (07) ◽  
pp. 2698-2716 ◽  
Author(s):  
Pompeo Della Posta
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Euro Area ◽  
Public Debt ◽  
Nonlinear Behavior ◽  
Lender Of Last Resort ◽  
Speculative Attacks ◽  
The Interest Rate ◽  
Exchange Rate Target Zones ◽  
Primary Surplus

The application of exchange rate target zones modeling to interest rates allows interpreting the puzzles that emerged with the public debt euro area crisis, namely the nonlinear behavior of the interest rates and the fact that some stand-alone countries, not belonging to the euro area, have not been subject to speculative attacks in spite of equally large public debt-to-gross domestic product (GDP) ratios. As a matter of fact, this model shows that in the case of a noncredible upper threshold for the interest rate (that may be due to both the lack of room for increasing further the required government primary surplus and/or the absence of a monetary authority acting as a lender of last resort), the resulting public debt unsustainability determines an interest rate nonlinearity and makes the crisis possible for public debt levels that would be stable in the presence of a credible interest rate target.

scholarly journals Safe Assets, Liquidity, and Monetary Policy

2017 ◽  
Vol 9 (2) ◽  
pp. 182-227 ◽  
Author(s):  
Pierpaolo Benigno ◽  
Salvatore Nisticò
Keyword(s):  
Monetary Policy ◽  
Interest Rate ◽  
Interest Rates ◽  
Risk Sharing ◽  
Balance Sheet ◽  
Multiple Assets ◽  
Interest Rate Spreads ◽  
The Interest Rate ◽  
Liquidity Shock ◽  
Deep Recession

This paper studies monetary policy in models where multiple assets have different liquidity properties: safe and “pseudo-safe” assets coexist. A shock worsening the liquidity properties of the pseudo-safe assets raises interest rate spreads and can cause a deep recession-cum-deflation. Expanding the central bank’s balance sheet fills the shortage of safe assets and counteracts the recession. Lowering the interest rate on reserves insulates market interest rates from the liquidity shock and improves risk sharing between borrowers and savers. (JEL E31, E32, E43, E44, E52)

Does the slope of the yield curve of the interbank market influence prices on the Warsaw Stock Exchange? A sectoral perspective

2021 ◽  
Vol 67 (4) ◽  
pp. 294-307
Author(s):  
Ewa Majerowska ◽  
Jacek Bednarz
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Term Structure ◽  
Yield Curve ◽  
Stock Exchange ◽  
Rate Curve ◽  
Daily Data ◽  
Warsaw Stock Exchange ◽  
The Interest Rate ◽  
Relationship Of

The interest rate curve is often viewed as the leading indicator of economic prosperity in a broad sense. This paper studies the ability of the slope of the yield curve in the term structure of interest rates to impact the sectoral indices on the Warsaw Stock Exchange, using daily data covering the period from 1 January 2001 to 30 September 2020. The results of the research indicate an ambiguous dependence of the logarithmic rates of return of sub-indices on the change of the interbank interest rate curve. The only sectors showing a clear relationship of this type is energy and pharmaceuticals.

Yield Curves, Swap Curves, and Term Structure of Interest Rates

2019 ◽  
pp. 203-228
Author(s):  
Tom P. Davis ◽  
Dmitri Mossessian
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Term Structure ◽  
Yield Curve ◽  
Yield Curves ◽  
No Arbitrage ◽  
Interest Rate Swap ◽  
The Interest Rate ◽  
Rate Swap ◽  
The U.S

This chapter discusses multiple definitions of the yield curve and provides a conceptual understanding on the construction of yield curves for several markets. It reviews several definitions of the yield curve and examines the basic principles of the arbitrage-free pricing as they apply to yield curve construction. The chapter also reviews cases in which the no-arbitrage assumption is dropped from the yield curve, and then moves to specifics of the arbitrage-free curve construction for bond and swap markets. The concepts of equilibrium and market curves are introduced. The details of construction of both types of the curve are illustrated with examples from the U.S. Treasury market and the U.S. interest rate swap market. The chapter concludes by examining the major changes to the swap curve construction process caused by the financial crisis of 2007–2008 that made a profound impact on the interest rate swap markets.

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