# Probability-Weighted Outcomes Under IFRS 9: A Macroeconomic Approach

In this article, we discuss development of a framework that addresses the forward-looking and probability-weighted aspects of IFRS 9 impairment calculation using macroeconomic forecasts. In it, we address questions around the practical use of alternative scenarios and their probabilities. We also include a case study to illustrate these concepts in practice.

The incoming IFRS 9 regulation provides for the use of macroeconomic forecasts and probability-weighted outcomes, particularly when accounting for the impairment of financial assets. Indeed, the spirit of IFRS 9 suggests that finance officers should be more forward-looking in their recognition of credit losses on a firm's balance sheet, with the macroeconomy often taking a central place in any impairment forecast. Paragraph B5.5.42, for example, "*requires the estimate of expected credit losses to reflect an unbiased and probability-weighted amount that is determined by evaluating a range of possible outcomes.*" More specifically, two key areas of IFRS 9 suggest that macroeconomic scenario forecasts may be utilized:

- Section 5.5.3, which outlines that lifetime expected credit losses should be used to measure loss if credit risk has increased significantly since initial recognition.
- Section 5.5.9, which describes the procedure for assessing whether an instrument has undergone a significant deterioration in credit risk.

This report focuses primarily on Option 1 above, and how probability weights can be derived from macroeconomic forecasts to produce an unbiased estimate of lifetime expected losses. Given the accounting standard's goal of consistency, however, the scenario weights derived from Option 1 may also be used in Option 2.^{1}

Like the IFRS 9 standard itself, this article does not prescribe a specific plan of action or a one-size-fits-all approach to the use of macroeconomic forecasts and probability weights. Rather, it is designed to help institutions build a framework that addresses the "forward-looking" and "probability-weighted" aspects of IFRS 9 impairment calculation using macroeconomic forecasts. Moreover, we provide a purely quantitative approach to the problem. The use of qualitative overlays, which are allowable within the framework of IFRS 9, is beyond the scope of this article.

This report outlines three areas of discussion for banks to consider:

- The number of macroeconomic scenarios to utilize
- How to ensure an unbiased probabilityweighted outcome
- Where in the impairment calculation to incorporate the macroeconomy and probability weights

The report concludes with an example from the wholesale lending space, which illustrates three different approaches to IFRS 9 compliance.

## How Many Macroeconomic Scenarios?

The IFRS 9 standard does not explicitly define the number of macroeconomic scenarios that should be used for impairment calculations. Item B5.5.42 is again instructive:

In practice, this may not need to be a complex analysis. In some cases, relatively simple modelling may be sufficient,without the need for a large number of detailed simulations of scenarios. For example, the average credit losses of a large group of financial instruments with shared risk characteristics may be a reasonable estimate of the probability-weighted amount. In other situations, the identification of scenarios that specify the amount and timing of the cash flows for particular outcomes and theestimated probability of those outcomeswill probably be needed. In those situations, the expected credit losses shall reflectat least two outcomesin accordance with paragraph 5.5.18. (Emphasis added.)

In some limited cases, then, the use of one or even zero economic scenarios may be sufficient. The illustrative example below, from the wholesale sector, outlines three approaches to the problem. The first two methods utilize macro scenarios and probability weights, while the third approach uses an unconditional PD that does not require a specific macro scenario or probability weighting. Similarly, there is an upper limit to the number of scenarios that may be appropriate. Section BC5.265 suggests,^{2} "The calculation of an expected value need not be a rigorous mathematical exercise whereby an entity identifies every single possible outcome and its probability," so the requirement of a simulation-based approach over thousands of scenarios can be disregarded.

### The language used by IFRS 9 is intentionally vague, and the interpretation of the number and type of economic scenarios will differ by firm, portfolio complexity, geographical spread, and local regulator.

The language used by the standard is intentionally vague ("at least two"), and the interpretation of the number and type of economic scenarios will differ by firm and portfolio complexity. In this article, we outline three approaches, two of which use multiple economic scenarios covering both upside and downside possibilities. This seems appropriate for most firms and most portfolios as the standard is designed for firms to consider a representative sample of the complete distribution.^{3} The framework can be extended to incorporate more scenarios or greater complexity.

## How to Ensure an Unbiased Probability-Weighted Outcome Using Alternative Macroeconomic Scenarios

Moody's Analytics economics division produces monthly off-the-shelf macroeconomic forecasts under a baseline scenario and several alternative economic scenarios, known as S1 through S4. These forecasts cover 54 countries and over 90% of the world's GDP. Each scenario has a probability attached to it based on its historical distribution.

The baseline is a 50% scenario, implying a 50% probability that the actual outcome is worse than the baseline forecast, broadly speaking, and a 50% probability that the outcome is better. Similarly, the S1 upside scenario has a 10% probability attached to it (10% probability that the outcome is better; 90% probability that the outcome is worse); S2 is a 25% downside scenario; S3 is a 10% downside scenario; and S4 is a 4% downside scenario. Moody's Analytics also internally produces two "bookend" scenarios, which are 1-in-10,000 probability events that describe the upper and lower bounds of possible economic outcomes. These bookend scenarios help to illustrate the theoretical approach, but were excluded from the following wholesale example as the guidance recommends that firms "should not estimate a worst-case scenario nor the best-case scenario."^{4}

The baseline scenario is therefore the median outcome, and not the mean. The IFRS 9 guidelines require expected losses to be calculated on the probability-weighted mean of the distribution, not the median, so even if a single scenario were to be used, the baseline may not be appropriate. (Other economists may forecast the mode – the most likely outcome – which is also inappropriate, without overlays, within IFRS 9.) These scenario probabilities describe a cumulative distribution function (CDF) showing probabilities for the economy to perform better or worse than a given forecast (Figure 1).

###### Figure 1. Scenario probabilities – cumulative distribution function

###### Source: Moody's Analytics

An expected value can be derived from a CDF in two ways. First, we could "integrate" the CDF to calculate the area under the curve. This would give a single mean economic outcome that could be conditioned on in expected loss calculations. However, as will be discussed later, it may be preferable to use several economic scenarios, push these scenarios across credit expected loss inputs (PDs, EADs, LGDs), and then weight these scenario-conditional risk parameters by the scenario probabilities. A second option is to "differentiate" the CDF, or take its slope at each point, to produce a probability distribution function (PDF). Figure 2 describes the PDF using US GDP (in billions of 2009 USD).

###### Figure 2. Scenario probabilities – probability density function

###### Source: Moody's Analytics

We can calculate an expected value by using the probability masses from this PDF to weight either the economic data or the credit outcomes conditioned on that economic data, depending on which stage of the process the weights are applied to.

## How and Where to Incorporate Macroeconomic Scenarios and Probability Weights

IFRS 9 provides no explicit guidance on how the probability-weighted outcomes should be used, although we can glean some insight from the standard itself and follow-up discussions. For example, using the above approach, should the probability weights be applied to the economic data to produce a single, probability-weighted economic scenario which is then put through the credit model? Or should the user put all relevant scenarios through the credit model and then apply the scenario weights to obtain a probability-weighted credit outcome?

Public discussion at the Transition Resource Group for Impairment of Financial Instruments emphasized that using a single macroeconomic scenario may not be appropriate if the relationship between credit losses and the macroeconomy is non-linear. This will often be the case in a properly specified credit model. Moreover, even if the credit estimate is unbiased, a single weighted scenario may be undesirable as the standard emphasizes evaluating a range of outcomes, not a range of scenarios. This is because firms may gain additional insight into the exposure of their portfolio by assessing a distribution of credit outcomes.

This can be illustrated through a simple example. Imagine it is 2006 and there are two firms that both have a large subprime mortgage exposure. Firm A models its expected credit losses under a single, probability-weighted economic scenario, showing only mild credit losses under this scenario. Firm B, however, uses several economic scenarios and notices that while its expected probability-weighted credit losses are modest, its losses under a sharp recession (such as S4) are severe enough to put it out of business.

From an accounting perspective, both Firm A and Firm B may recognize similar expected losses under IFRS 9. Yet from a statistical perspective, the measure of expected credit losses recognized by Firm A may be biased because of the non-linear relationship between credit losses and the macroeconomy. And from a risk manager's perspective, the information available from Firm B's accounting of expected losses provides a far richer information set and the possibility to take mitigating action if the risk of an S4-type scenario is considered material.

## Case Study: Wholesale Portfolio Example

The Moody's Analytics CreditEdge model provides a suitable framework for IFRS 9 compliance with C&I exposures.^{5}This example uses the EDF metric, which provides an unconditional firm-level PD with a tenure of one to 10 years, and the Stressed EDF satellite model, which uses the core EDF metric to provide a firm-level PD forecast conditioned on any economic scenario. Stressed EDF already produces monthly forecasts conditioned on the Moody's Analytics scenarios described above, and so is well-suited to this purpose. In this example, we may decide IFRS 9 stage allocation by comparing the unconditional EDF at the reporting date with EDF at origination to determine whether a significant deterioration in credit risk has occurred. A suitable criterion, such as if a firm's implied credit rating has deteriorated by, say, three or more notches, would determine stage allocation. Once an instrument has passed into Stage 2, lifetime EL must be calculated and accounted. There are three options for performing this calculation, based on the discussion in previous sections:^{6}

- Apply the economic scenario probability weights to the Stressed EDF forecasts produced by conditioning on those economic scenarios. This is our recommended approach for the reasons outlined previously. Figure 3 illustrates this example using JP Morgan. The probability-weighted PD is above the baseline through the forecast period.
- Combine the economic scenarios into a single probability-weighted scenario. This will, however, produce a biased measure of lifetime EL if the relationship between the macroeconomy and PD is non-linear. This is the case, by design, with the Stressed EDF model. Moreover, it glosses over the potential distribution of credit losses. Figure 4 illustrates the approach.
- A third option is to use the unconditional EDF to calculate lifetime EL. That is, if an instrument has eight years left until maturity, simply use the eight-year EDF as a measure of lifetime PD. The resulting EL calculation can be considered a weighted distribution of economic scenarios. That is, the EDF metric combines data from a firm's balance sheet with the firm's stock price, which is also the market's expectation of discounted future profits, with every possible profit path weighted by the probability of that path occurring. The measure is also unbiased by the construction of the EDF model, which is calibrated to physical default probabilities using Moody's Analytics default database.

###### Figure 3. JP Morgan, scenario conditional 1-year PD curves & weighted average (expected value)

###### Source: Moody's Analytics

###### Figure 4. JP Morgan, 1-year PD conditioned on a single probability-weighted average economic scenario

###### Source: Moody's Analytics

All three options may be suitable in different situations, depending on the relationship between credit risk and the macroeconomy and the desired objective of the reporting process. Figure 5 summarizes the results using the two-year cumulative PD from each approach.

###### Figure 5. JP Morgan, two-year cumulative PD under the three approaches (%)

###### Source: Moody's Analytics

## Concluding Remarks

In this article we have analyzed the use of macroeconomic scenarios as part of the forward-looking, probability-weighted IFRS 9 framework. Some of the key questions around the practical use of alternative scenarios and their probabilities have been answered, and a case study illustrates these concepts in practice. We argue in favor of leveraging a handful of alternative forecasts in order to comply with recent regulation. The shape and severity of the scenarios can vary over industries and firms, but the regulatory language is fairly clear when requesting the need to account for alternative outcomes under a probability-weighted framework.

###### Footnotes

1 See paragraph 54 of IFRS staff paper, Transition Resource Group for Impairment of Financial Instruments, December 11, 2015

2 See Page 5, Section 10, of Incorporation of forward-looking scenarios by the Transition Resource Group (IFRS staff paper, December 11, 2015).

3 See paragraph 46(b) of IFRS staff paper.

4 See paragraph 46(d) of IFRS staff paper.

5 A modeling approach for retail portfolios is detailed in Black, Chinchalkar, & Licari, Complying with IFRS 9 Impairment Calculations for Retail Portfolios, Risk Perspectives Magazine, June 2016, Moody’s Analytics

6 The IFRS staff paper outlines three approaches that broadly mirror the three options, plus a fourth possibility which uses the modal or most likely economic scenario in combination with a qualitative overlay. Our recommendations borrow heavily from this directive.

###### Featured Experts

#### Scott Dietz

Scott is a Director in the Regulatory and Accounting Solutions team responsible for providing accounting expertise across solutions, products, and services offered by Moody’s Analytics in the US. He has over 15 years of experience leading auditing, consulting and accounting policy initiatives for financial institutions.

#### Cristian deRitis

Leading economist; recognized authority and commentator on personal finance and credit, U.S. housing, economic trends and policy implications; innovator in econometric and credit modeling techniques.

#### Anna Krayn

CECL adoption expert; engagement manager for loss estimation, internal risk capability enhancement, and counterparty credit risk management

###### As Published In:

### Analyzes IFRS 9, delves into its effects on future impairment calculations, and provides recommendations on how financial institutions can implement and leverage forward-looking credit loss models.

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