Power law bond price and yield approximation

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Joel R. Barber
Keyword(s):  
Interest Rates ◽  
Power Law ◽  
Numerical Solutions ◽  
Logarithmic Transformation ◽  
Bond Price ◽  
Content Type ◽  
Price Function ◽  
New Formula ◽  
Risk Managers

PurposeThis paper determines a simple transformation that nearly linearizes the bond price formula. The transformed price can be used to derive a highly accurate approximation of the change in a bond price resulting from a change in interest rates.Design/methodology/approachA logarithmic transformation exactly linearizes the price function for a zero coupon bond and a reciprocal transformation exactly linearizes the price function for a perpetuity. A power law transformation combines aspects of both types of transformations and provides a superior approximation of the bond price sensitivity for both short-term and long-term bonds.FindingsIt is demonstrated that the new formula, based on power-law transformation, is a much better approximation than either the traditional duration-convexity approximation and the more recently developed approximations based on logarithmic transformation of the price function.Originality/valueThe new formula will be used by risk managers to perform stress-testing on bond portfolios. The new formula can easily be inverted, making it possible to relate the distribution of prices (which are observable in the market) to the distribution of yields (which are numerical solutions that are not directly observable).

Large US household balance sheets pose macro risks

2021 ◽  
Keyword(s):  
Interest Rates ◽  
Health Costs ◽  
Gdp Growth ◽  
Lower Growth ◽  
Content Type ◽  
Balance Sheets ◽  
Trade Growth ◽  
Productivity Gains ◽  
Macroeconomic Risks

Significance An examination of the factors behind the expansion indicates that outsized balance sheets will persist and will pose a number of macroeconomic risks. Impacts Slower workforce growth will pressure GDP growth, trade growth and long-term interest rates, unless productivity gains can offset this. A record number of US business deaths and births in 2020 will affect productivity and have unpredictable impacts on the economy. Lower growth makes it harder to stabilise debt-to-GDP ratios, just as pension and health costs rise as populations age in major economies.

Malaysian banking: is the current practice of ibrā’ (rebate) reflecting its true meaning?

2019 ◽  
Vol 11 (1) ◽  
pp. 22-30 ◽  
Author(s):  
Muhammad Shahrul Ifwat Ishak
Keyword(s):  
Interest Rates ◽  
Advisory Council ◽  
Islamic Banking ◽  
Islamic Banks ◽  
Structured Interviews ◽  
Debt Structure ◽  
Content Type ◽  
Content Analysis Method ◽  
Original Concept

Purpose This paper aims to investigate the current regulation of ibrā’ (rebate) set by the Central Bank for the Islamic banks in Malaysia and how far its original concept has been compromised to make it adaptable to the modern financial system. Design/methodology/approach This study, with regard to practising ibrā’ in Islamic banking in Malaysia, is qualitative in nature, using semi-structured interviews carried out with two types of informant: members of either the National Sharīʿah Advisory Council (NSAC) or the Internal Sharīʿah Committee (SC). All data are analysed based on the content analysis method. Findings The findings reveal that while stipulating an ibrā’ clause makes practising ibrā’ stray from its original concept, it has successfully tackled the current problem. However, the long-term consequences should be a concern, particularly Islamic banking products, which have been significantly influenced by the conventional system, including interest rates and the debt structure, neither of which should be identified with Islamic banking. Research limitations/implications This study is limited because it focusses on the practice of ibrā’ in Malaysian Islamic banking. Moreover, data are collected from nine interviewees from NSAC and SC from different Islamic banks. Thus, the results cannot be generalised to other countries. Originality/value This paper provides a fresh discussion of ibrā’ from the perspective of regulators and the experience of practitioners in Malaysia, particularly in respect of aspects of Sharīʿah and current actual practice.

How loan interest rate liberalization affects firms’ loan maturity structure

2014 ◽  
Vol 4 (2) ◽  
pp. 153-167 ◽  
Author(s):  
Jianfang Zhou ◽  
Jingjing Wang ◽  
Jianping Ding
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Manufacturing Companies ◽  
Short Term ◽  
Data Set ◽  
Content Type ◽  
Interest Rate Liberalization ◽  
Upper Limit ◽  
Maturity Structure

Purpose – After loan interest rate upper limit deregulation in October 2004, the financing environment in China changed dramatically, and the banks were eligible for risk compensation. The purpose of this paper is to focus on the influence of the loan interest rate liberalization on firms’ loan maturity structure. Design/methodology/approach – Based on Rajan's (1992) model, the authors constructed a trade-off model of how the banks choose long-term and short-term loans scales, and further analyzed banks’ loan term decisions under the loan interest rate upper limit deregulation or collateral cases. Then the authors used an unbalanced panel data set of 586 Chinese listed manufacturing companies and 9,376 observations during the period 1996-2011 to testify the theoretical conclusion. Furthermore, the authors studied the effect on firms with different characteristics of ownership or scale. Findings – The results show that the loan interest rate liberalization significantly decreases the private companies’ reliance on short-term loans and increases sensitivity to interest rates of state-owned companies’ long-term loans. But the results also show that the companies’ ownership still plays a key role on the long-term loans availability. When monetary policy tightened, small companies still have to borrow short-term loans for long-term purposes. As the bank industry is still dominated by state-owned banks and the deposit interest rate has upper limits, the effect of the loan interest rate liberalization on easing long-term credit constraints is limited. Originality/value – From a new perspective, the content and findings of this paper contribute to the study of the effect of the interest rate liberalization on China economy.

Australian PM challenge will hinder policy agenda

2015 ◽  
Keyword(s):  
Political Parties ◽  
Interest Rates ◽  
Prime Minister ◽  
Party Leader ◽  
Content Type ◽  
Developed Economies ◽  
Housing Bubbles ◽  
The Impact ◽  
The Eu

Significance Although a victory in the short term for Abbott, the narrow margin will only intensify doubts about his long-term prospects as party leader and as prime minister. The challenge continues a trend of instability across Australia's main political parties. The country is poised to enter a record 25th year of uninterrupted economic growth, yet has changed prime minister four times since 2007. Impacts Australia will remain one of the most robust developed economies throughout 2015, with growth rates far above those of the EU. The Reserve Bank's decision to cut interest rates indicates that there are worries of the impact of the China-induced mining slowdown. Concerns in state capitals about housing bubbles will grow and may be an issue in the next federal election.

High house prices may be global systemic risk

2016 ◽  
Keyword(s):  
Interest Rates ◽  
Household Income ◽  
House Prices ◽  
House Price ◽  
Content Type ◽  
Price Boom ◽  
Advanced Economies ◽  
The Us ◽  
Property Markets

Subject The rise in global house prices. Significance In the first quarter of 2015, the global house price index, aggregating prices in 52 countries, was at about the same level as in early 2007, according to IMF data. This recovery has occurred in a period of wage gains in most emerging markets (EMs), but little or no growth in household income across most advanced economies. Living costs excluding housing have stagnated and interest rates have been exceptionally low. Yet US interest rates are rising now and global prices are unlikely to keep falling beyond 2016, while many EMs have slumped into recession. As households are hit by more adverse trends, property markets and the related sectors will be affected. Impacts The EM house price boom will be curbed by slowing income growth and weaker economic prospects. High house-prices-to-household-income ratios and household debt might require the introduction of macroprudential tools. The US housing market will stay affordable compared to its long-term average and to Europe's.

Dynamic implications of GDP, interest rates, taxes, income, foreign direct investments, housing prices on property NPLs

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Kuen-Wei Tham ◽  
Rosli Said ◽  
Yasmin Mohd Adnan
Keyword(s):  
Interest Rates ◽  
Global Financial Crisis ◽  
Housing Prices ◽  
Economic Environment ◽  
Macroeconomic Factors ◽  
Content Type ◽  
Macroeconomic Variables ◽  
Long Run ◽  
First Time

Purpose The study on how macroeconomic factors affect non-performing loans (NPLs) have not been focussed on property loans, which had been amongst the largest contributor of NPLs in many countries. At the same time, whilst there are many studies that focusses on NPLs during the recession and financial crises, not many studies focus on how macroeconomic factors affect property NPLs in a recovering economic environment. The purpose of this study seeks to fill the gap by analysing the relationships between gross domestic product (GDP), interest rates, income, foreign direct investments (FDI), housing prices and taxes on property NPLs with Malaysia as a case study in which NPLs rose for the first time after declining for almost a decade since the 2008–2009 global financial crisis. This study aims to understand the dynamics and direction of causation in relationships. Design/methodology/approach The author uses the auto regressive distribution lag analysis between the independent variables of GDP, interest rates, housing prices, service taxes, percapita income and FDI affecting the dependent variable of property NPLs from 2009 to 2017, during a unique period of recovering economic environment where NPLs rose for the first time in almost a decade of decline. Findings This study found that interest rates, housing prices, income, GDP and service taxes were found to possess long cause effects and long run elasticity with NPLs. At the same time, interest rates were found to implicate property NPLs significantly in longer periods, followed by GDP, housing prices, service taxes and income. FDIs were found to be insignificantly negative in implicating property NPLs in the long run. Research limitations/implications This paper allows policymakers to understand the dynamic implications of crucial macroeconomic factors in affecting NPLs so that appropriate strategic monetary policies could be formulated towards addressing them. More focus shall be given to addressing the long term implications of these factors on NPLs. Practical implications Appropriate strategic monetary policy making can be channelled towards addressing these factors via understanding the short and long term implications of macroeconomic variables on property NPLs. Policymakers can take note of the long cause effects and long run elasticity of average interest rates, housing prices, income levels, GDP and service taxes with property NPLs so that appropriate long term policies can be addressed to control the rise of property NPLs in the country. At the same time, priority should be given towards strengthening of the GDP of the country due to its strongest impact in long term effects with reduction of NPLs in the country. Social implications The insights from the present study suggest policymakers interested in bringing stability in the real estate finance system need to account for the various macroeconomic variables found in this study. Originality/value The paper is novel on at least two dimensions. First, this study involves focussing on a unique period of recovering economic environment where NPLs rose for the first time after a decade of decline since recovering from the 2008–2009 global financial crisis. At the same time, this study focusses on property NPLs, which is unique in nature compared to general NPLs. This study had enabled policymakers to better understand the dynamic implications of several macroeconomic variables affecting property NPLs and assist them in strategic monetary policy making.

A robust pricing of specific structured bonds with coupons

2014 ◽  
Vol 15 (3) ◽  
pp. 234-247
Author(s):  
Anastasios Evgenidis ◽  
Costas Siriopoulos
Keyword(s):  
Interest Rates ◽  
Global Financial Crisis ◽  
Model Misspecification ◽  
Fair Value ◽  
Fair Price ◽  
Bond Price ◽  
Content Type ◽  
Structured Products ◽  
Innovative Model ◽  
Bond Issuers

Purpose – The purpose of this paper is to present an innovative model to evaluate the fair price of a subset of structured products for a hypothetical US structured bond. Design/methodology/approach – The authors assume that interest rates dynamics are described by the Cox–Ingersoll–Ross process. They conduct robustness checks by stress testing against parameter and model uncertainty. Findings – The fair value of the bond is robust under any parameter or model misspecification. In addition, a change in the price seems to be more sensitive to long-term yields rather than short-or mid-term yields. The authors provide a better understanding of the relationship between bond prices and business cycles: a slight change in the current structure would have a significant effect on the bond price only during economic expansions. Social implications – The recent global financial crisis has led policymakers and the financial press to blame financial innovation through accusations of structured products being highly complex. Much of the criticism is based on the fact that investors were not able to properly price and fully understand the risks of their investments. Regulators should ensure proper pricing of these products to protect both the investors and the system. Fair pricing is important for bond issuers, governments or corporations to design their product at an attractive price for investors. Originality/value – This paper fills a gap in the extant literature by providing an innovative model based on an Euler–Maruyama Monte Carlo scheme to price structured products.

Russian policy toolkit mixes rate rises and price caps

2021 ◽  
Keyword(s):  
Central Bank ◽  
Interest Rates ◽  
Oil Prices ◽  
Target Level ◽  
Content Type ◽  
Price Controls ◽  
Interest Income ◽  
Personal Savings ◽  
The Government

Significance This is high enough to worry the Central Bank of Russia (CBR): inflation has hovered around 4%, the bank's target level, for the last four years. The CBR has responded with monetary tightening, and the government with price controls on food and some exported commodities. Impacts Rising domestic interest rates and higher global oil prices will support the ruble. Elevated inflationary expectations will discourage long-term investment and personal savings. Higher interest rates will improve banks' net interest income and support banking profitability in 2021.

Dynamic lag structure of deposits and loans interest rates and business cycles formation

2017 ◽  
Vol 25 (2) ◽  
pp. 114-132
Author(s):  
Bijan Bidabad ◽  
Abul Hassan
Keyword(s):  
Interest Rate ◽  
Business Cycles ◽  
Interest Rates ◽  
Banking System ◽  
Real Economy ◽  
Short Term ◽  
Structural Dynamic ◽  
Content Type ◽  
The Real

Purpose This paper aims to study the structural dynamic behaviour of the depositors, banks and investors and the role of banks in the business cycles. The authors test the hypothesis: do banks’ behaviour make oscillations in the economy via interest rate? Design/methodology/approach The authors dichotomized banking activities into two markets: deposit and loan. The first market forms deposit interest rate, and the second market forms credit interest rate. The authors show that these two types of interest rates have non-synchronized structures, and that is why money sector fluctuation starts. As a result, the fluctuation is transferred to the real economy through saving and investment functions. Findings The empirical results show that in the USA, the banking system creates fluctuations in money and real economy, as well as through interest rates. Short-term interest rates had complex roots in their characteristic, while medium and long-term interest rates, though they were second-order difference equations, had real characteristic roots. However, short-term interest rates are the source of oscillation and form the business cycles. Research limitations/implications The authors tested the hypothesis for USA economy, while it needs to be tested for other economies as well. Practical implications The results show that though the source of fluctuations in the real economy comes from short-term interest rates, medium- and long-term interest rates dampen real economy fluctuations and also work as economic stabilisers. Originality/value Regarding the applied method, the topic is new.

Lifting capital controls underpins Iceland’s growth

2017 ◽  
Keyword(s):  
Interest Rates ◽  
Capital Controls ◽  
Economic Conditions ◽  
Short Term ◽  
Content Type ◽  
Short Run ◽  
Small Economy ◽  
Economic Balance ◽  
The Eu

Subject Iceland‘s macroeconomic outlook. Significance Iceland at the turn of the year took several steps towards lifting its capital controls on households and businesses. The authorities had worried that this would create an outflow of capital, destabilising the economy through a weakened krona and rising inflation. However, positive economic conditions have reversed the problem at least in the short run, with the main worries being an even stronger krona which could threaten export and tourism industries. Impacts High expected GDP growth and interest rates might be tempting for foreign investors looking for short-term gains. Fresh elections are possible if the Independence Party fails to form a government. The largest challenge for Iceland will be to find long-term economic balance as a small economy outside the EU.

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