C - Mathematical and Quantitative Methods

• Monetary Policy Uncertainty: A Tale of Two Tails

  Staff Working Paper 2018-50 Tatjana Dahlhaus, Tatevik Sekhposyan

  We document a strong asymmetry in the evolution of federal funds rate expectations and map this observed asymmetry into measures of monetary policy uncertainty. We show that periods of monetary policy tightening and easing are distinctly related to downside (policy rate is higher than expected) and upside (policy rate is lower than expected) uncertainty.

  Content Type(s): Staff research, Staff working papers Topic(s): Business fluctuations and cycles, Econometric and statistical methods, Monetary policy and uncertainty, Monetary policy communications, Monetary policy transmission JEL Code(s): C, C1, C18, C3, C32, E, E0, E02, E4, E43, E5, E52

• Challenges in Implementing Worst-Case Analysis

  Staff Working Paper 2018-47 Jon Danielsson, Lerby Ergun, Casper G. de Vries

  Worst-case analysis is used among financial regulators in the wake of the recent financial crisis to gauge the tail risk. We provide insight into worst-case analysis and provide guidance on how to estimate it. We derive the bias for the non-parametric heavy-tailed order statistics and contrast it with the semi-parametric extreme value theory (EVT) approach.

  Content Type(s): Staff research, Staff working papers Topic(s): Financial stability JEL Code(s): C, C0, C01, C1, C14, C5, C58

• How Long Does It Take You to Pay? A Duration Study of Canadian Retail Transaction Payment Times

  Staff Working Paper 2018-46 Geneviève Vallée

  Using an exclusive data set of payment times for retail transactions made in Canada, I show that cash is the most time-efficient method of payment (MOP) when compared with payments by debit and credit cards. I model payment efficiency using Cox proportional hazard models, accounting for consumer choice of MOP.

  Content Type(s): Staff research, Staff working papers Topic(s): Bank notes, Econometric and statistical methods, Payment clearing and settlement systems JEL Code(s): C, C2, C25, C3, C36, C4, C41, D, D2, D23, E, E4, E41, E42

• Nowcasting Canadian Economic Activity in an Uncertain Environment

  Staff Discussion Paper 2018-9 Tony Chernis, Rodrigo Sekkel

  This paper studies short-term forecasting of Canadian real GDP and its expenditure components using combinations of nowcasts from different models. Starting with a medium-sized data set, we use a suite of common nowcasting tools for quarterly real GDP and its expenditure components.

  Content Type(s): Staff research, Staff discussion papers Topic(s): Econometric and statistical methods JEL Code(s): C, C5, C53, E, E3, E37, E5, E52

• A Look Inside the Box: Combining Aggregate and Marginal Distributions to Identify Joint Distributions

  Staff Working Paper 2018-29 Marie-Hélène Felt

  This paper proposes a method for estimating the joint distribution of two or more variables when only their marginal distributions and the distribution of their aggregates are observed. Nonparametric identification is achieved by modelling dependence using a latent common-factor structure.

  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, C14, D, D1, D14, E, E4, E41

• Bitcoin Awareness and Usage in Canada: An Update

  Staff Analytical Note 2018-23 Christopher Henry, Kim Huynh, Gradon Nicholls

  The results of our 2017 Bitcoin Omnibus Survey (December 12 to 15, 2017) when compared with those from 2016 show that Bitcoin “awareness” increased from 64 to 85 per cent, while ownership increased from 2.9 to 5.0 per cent. Most Bitcoin purchasers are using the cryptocurrency as an investment and not as a means of payment for goods or services.

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

• Bootstrapping Mean Squared Errors of Robust Small-Area Estimators: Application to the Method-of-Payments Data

  Staff Working Paper 2018-28 Valéry Dongmo Jiongo, Pierre Nguimkeu

  This paper proposes a new bootstrap procedure for mean squared errors of robust small-area estimators. We formally prove the asymptotic validity of the proposed bootstrap method and examine its finite sample performance through Monte Carlo simulations.

  Content Type(s): Staff research, Staff working papers Topic(s): Bank notes, Econometric and statistical methods JEL Code(s): C, C1, C13, C15, C8, C83, E, E4, E41

• On the Evolution of the United Kingdom Price Distributions

  Staff Working Paper 2018-25 Ba M. Chu, Kim Huynh, David T. Jacho-Chávez, Oleksiy Kryvtsov

  We propose a functional principal components method that accounts for stratified random sample weighting and time dependence in the observations to understand the evolution of distributions of monthly micro-level consumer prices for the United Kingdom (UK).

  Content Type(s): Staff research, Staff working papers Topic(s): Econometric and statistical methods, Inflation and prices JEL Code(s): C, C1, C14, C8, C83, E, E3, E31, E37
• June 7, 2018

  The Bank of Canada’s Financial System Survey

  Financial System Review - June 2018 Guillaume Bédard-Pagé, Ian Christensen, Scott Kinnear, Maxime Leboeuf

  This report presents the details of a new semi-annual survey that will improve the Bank of Canada’s surveillance across the financial system and deepen efforts to engage with financial system participants. The survey collects expert opinions on the risks to and resilience of the Canadian financial system as well as on emerging trends and financial innovations. The report presents an overview of the survey and provides high-level results from the spring 2018 survey.

  Content Type(s): Publications, Financial System Review articles Topic(s): Financial institutions, Financial markets, Financial services, Financial stability, Financial system regulation and policies, Recent economic and financial developments JEL Code(s): C, C8, C83, G, G1, G11, G18, G2, G28, G3, G32

• Noisy Monetary Policy

  Staff Working Paper 2018-23 Tatjana Dahlhaus, Luca Gambetti

  We introduce limited information in monetary policy. Agents receive signals from the central bank revealing new information (“news") about the future evolution of the policy rate before changes in the rate actually take place. However, the signal is disturbed by noise.

  Content Type(s): Staff research, Staff working papers Topic(s): Business fluctuations and cycles, Econometric and statistical methods, Financial markets, Monetary policy implementation, Monetary policy transmission JEL Code(s): C, C1, C18, C3, C32, E, E0, E02, E4, E43, E5, E52