C - Mathematical and Quantitative Methods

• Tail Risk in a Retail Payment System: An Extreme-Value Approach

  Staff Discussion Paper 2018-2 Héctor Pérez Saiz, Blair Williams, Gabriel Xerri

  The increasing importance of risk management in payment systems has led to the development of an array of sophisticated tools designed to mitigate tail risk in these systems. In this paper, we use extreme value theory methods to quantify the level of tail risk in the Canadian retail payment system (ACSS) for the period from 2002 to 2015.

  Content Type(s): Staff research, Staff discussion papers Topic(s): Econometric and statistical methods, Financial stability, Payment clearing and settlement systems JEL Code(s): C, C5, C58, G, G2, G21, G23

• Wages: Measurement and Key Drivers

  Staff Analytical Note 2018-2 Dany Brouillette, Jonathan Lachaine, Benoit Vincent

  Available sources of hourly wage data in Canada sometimes send conflicting signals about wage growth. This note thus has two objectives: first, we develop a wage measure—the wage-common—to better capture the (underlying) wage pressures reflecting the common trend across the available data sources. Second, we re-examine the relationship between wage growth and macro drivers (labour market slack and labour productivity).

  Content Type(s): Staff research, Staff analytical notes Topic(s): Econometric and statistical methods, Labour markets, Recent economic and financial developments JEL Code(s): C, C3, C38, J, J3

• Merchant Acceptance of Cash and Credit Cards at the Point of Sale

  Staff Analytical Note 2018-1 Ben Fung, Kim Huynh, Kerry Nield, Angelika Welte

  Recent data show that the use of credit cards in Canada has been increasing, while the use of cash has been declining. At the same time, only two-thirds of small or medium-sized businesses accept credit cards.

  Content Type(s): Staff research, Staff analytical notes Topic(s): Bank notes, Digital currencies and fintech, Econometric and statistical methods, Financial services JEL Code(s): C, C2, D, D1, E, E4, E41

• Wage Dynamics and Returns to Unobserved Skill

  Staff Working Paper 2017-61 Lance Lochner, Youngmin Park, Youngki Shin

  Economists disagree about the factors driving the substantial increase in residual wage inequality in the U.S. over the past few decades. We identify and estimate a general model of log wage residuals that incorporates: (i) changing returns to unobserved skills, (ii) a changing distribution of unobserved skills, and (iii) changing volatility in wages due to factors unrelated to skills.

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods, Labour markets JEL Code(s): C, C2, C23, J, J2, J24, J3, J31

• A Barometer of Canadian Financial System Vulnerabilities

  Staff Analytical Note 2017-24 Thibaut Duprey, Tom Roberts

  This note presents a composite indicator of Canadian financial system vulnerabilities—the Vulnerabilities Barometer. It aims to complement the Bank of Canada’s vulnerabilities assessment by adding a quantitative and synthesized perspective to the more granular (distributional) analysis presented in the Financial System Review.

  Content Type(s): Staff research, Staff analytical notes Topic(s): Econometric and statistical methods, Financial stability, Monetary and financial indicators JEL Code(s): C, C1, C14, C4, C40, D, D1, D14, E, E3, E32, E6, E66, F, F0, F01, G, G0, G01, G1, G15, G2, G21, H, H6, H63

• Bitcoin Awareness and Usage in Canada

  Staff Working Paper 2017-56 Christopher Henry, Kim Huynh, Gradon Nicholls

  There has been tremendous discussion of Bitcoin, digital currencies and FinTech. However, there is limited empirical evidence of Bitcoin’s adoption and usage. We propose a methodology to collect a nationally representative sample using the Bitcoin Omnibus Survey (BTCOS) to track the ubiquity and usage of Bitcoin in Canada.

  Content Type(s): Staff research, Staff working papers Topic(s): Bank notes, Digital currencies and fintech, Econometric and statistical methods JEL Code(s): C, C1, C12, E, E4

• Competing Currencies in the Laboratory

  Staff Working Paper 2017-53 Janet Hua Jiang, Cathy Zhang

  We investigate competition between two intrinsically worthless currencies as a result of decentralized interactions between human subjects. We design a laboratory experiment based on a simple two-country, two-currency search model to study factors that affect circulation patterns and equilibrium selection.

  Content Type(s): Staff research, Staff working papers Topic(s): Central bank research, Digital currencies and fintech JEL Code(s): C, C9, C92, D, D8, D83, E, E4, E40

• Identifying the Degree of Collusion Under Proportional Reduction

  Staff Working Paper 2017-51 Oleksandr Shcherbakov, Naoki Wakamori

  Proportional reduction is a common cartel practice in which cartel members reduce their output proportionately. We develop a method to quantify this reduction relative to a benchmark market equilibrium scenario and relate the reduction to the traditional conduct parameter.

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods, Market structure and pricing JEL Code(s): C, C3, C36, D, D2, D22, L, L4, L41

• Is the Discretionary Income Effect of Oil Price Shocks a Hoax?

  Staff Working Paper 2017-50 Christiane Baumeister, Lutz Kilian, Xiaoqing Zhou

  The transmission of oil price shocks has been a question of central interest in macroeconomics since the 1970s. There has been renewed interest in this question after the large and persistent fall in the real price of oil in 2014–16. In the context of this debate, Ramey (2017) makes the striking claim that the existing literature on the transmission of oil price shocks is fundamentally confused about the question of how to quantify the effect of oil price shocks.

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods, International topics JEL Code(s): C, C5, C51, Q, Q4, Q43

• Evaluating Real GDP Growth Forecasts in the Bank of Canada Monetary Policy Report

  Staff Analytical Note 2017-21 André Binette, Dmitri Tchebotarev

  This paper examines the quality of projections of real GDP growth taken from the Bank of Canada Monetary Policy Report (MPR) since they were first published in 1997. Over the last decade, it has become common practice among the central banking community to discuss forecast performance publicly.

  Content Type(s): Staff research, Staff analytical notes Topic(s): Business fluctuations and cycles, Econometric and statistical methods, Monetary policy JEL Code(s): C, C5, C52, E, E3, E32, E37, E5, E52