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I develop a population-based Markov chain Monte Carlo algorithm known as parallel tempering to estimate dynamic stochastic general equilibrium models. Parallel tempering approximates the posterior distribution of interest using a family of Markov chains with tempered posteriors.

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.

This paper develops a travel-based metric to measure Canadians’ access to cash from automated banking machines (ABMs) and financial institution branches. We find that, overall, access to cash remained stable between 2019 and 2022. The total number of ABMs in Canada increased by 3.7% and the total number of branches decreased by 5.2% during that period.

Data on the use of government securities in the repo, securities lending and cash markets suggest there are bond market clienteles in Canada. Shorter-term bonds are more prevalent in the repo market, while longer-maturity securities are more active in the securities lending market—consistent with the preferred habitat hypothesis. These results could help design better debt-management strategies and more-effective policies to maintain well-functioning financial markets.

This issue features four articles that present research and analysis by Bank staff. The first focuses on reforming the international monetary system; the second on the role of collateral and haircut policy in central bank lending; and the third on the extraction of information from the Business Outlook Survey using principal-component analysis. The fourth reviews studies that model the counterfeiting of bank notes.

This paper studies the effects of monetary policy shocks on firms’ participation in exporting. We develop a two-country dynamic stochastic general equilibrium model in which heterogeneous firms make forward-looking decisions on whether to participate in the export market and prices are staggered across firms and time.

This paper shows that survey expectations can be used to uncover how households subjectively think about inflation and unemployment dynamics jointly. The commonly documented "stagflation view", namely the households' tendency to associate inflation with a worse labor market, implies amplified impacts of supply shocks and dampened ones of demand shocks.

Privacy is a key aspect of a potential central bank digital currency system. We outline different technical choices to enact various privacy models while complying with the appropriate regulations. We develop a framework to evaluate privacy models and list key risks and trade-offs in privacy design.

The secular decline in real interest rates has created a challenge for monetary policy, now confronting the zero lower bound more often. An increase in the supply of safe assets reduces downward pressure on the natural interest rate. This allows monetary policy to reach price stability and full employment, but not without cost—permanently lower investment.

Cash is the preferred method of payment for small value transactions generally less than $25. We provide insight to this finding with a new theoretical model that characterizes and compares consumers’ costs of paying with cash to paying with cards for each transaction.