Alternative Performance Measures (APMs)

BBVA presents its results in accordance with the International Financial Reporting Standards (EU-IFRS). However, it also considers that some Alternative Performance Measures (hereinafter APMs) provide useful additional financial information that should be taken into account when evaluating performance. These APMs are also used when making financial, operational and planning decisions within the Entity. The Group firmly believes that they give a true and fair view of its financial information. These APMs are generally used in the financial sector as indicators for monitoring the assets, liabilities and economic and financial situation of entities.

BBVA Group's APMs are given below. They are presented in accordance with the European Securities and Markets Authority (ESMA) guidelines, published on October 5, 2015 (ESMA/2015/1415en) as well as the statement published by the ESMA on May 20, 2020 (ESMA 32-63-972), about implications of the COVID-19 outbreak on the half-yearly financial reports. The guidelines mentioned before are aimed at promoting the usefulness and transparency of APMs included in prospectuses or regulated information in order to protect investors in the European Union. In accordance with the indications given in the guidelines, BBVA Group's APMs:

  • Include clear and readable definitions of the APMs.
  • Disclose the reconciliations to the most directly reconcilable line item, subtotal or total presented in the financial statements of the corresponding period, separately identifying and explaining the material reconciling items.
  • Are standard measures generally used in the financial industry, so their use provides comparability in the analysis of performance between issuers.
  • Do not have greater preponderance than measures directly stemming from financial statements.
  • Are accompanied by comparatives for previous periods.
  • Are consistent over time.

Constant exchange rates

When comparing two dates or periods in this management report, the impact of changes in the exchange rates against the euro of the currencies of the countries in which BBVA operates is sometimes excluded, assuming that exchange rates remain constant. This is done for the amounts in the income statement by using the average exchange rate against the euro in the most recent period for each currency of the geographical areas in which the Group operates, and applying it to both periods; for amounts in the balance sheet and activity, the closing exchange rates in the most recent period are used.

Reconciliation of the Financial Statements of the BBVA Group

Below is the reconciliation between the consolidated Income Statements of the Condensed Interim Consolidated Financial Statements (hereinafter, the Consolidated Financial Statements) and the consolidated management Income Statements, shown throughout this report, for the first half of 2021 and 2020.

The main difference between the two is the treatment of the cost related to the restructuring process in the first half of 2021 which, for management purposes, are included in a single line, net of taxes, of the income statement called "Net cost related to the restructuring process", compared to the treatment in the income statement of the Consolidated Financial Statements, which record the gross impacts and their tax effect in the corresponding headings that are applicable to them in accordance with accounting regulations.

Additionally, there is a difference in the positioning of the results generated by BBVA USA and the rest of the companies included in the sale agreement to PNC until its closing, once the mandatory authorizations have been obtained, on June 1, 2021. In the Consolidated financial statements, these results are included in the line "Profit (loss) after tax from discontinued operations" and are taken into account both for the calculation of the "Profit/(loss)" and for the profit/(loss) "Attributable to the owners of the parent" whereas, for management purposes, they are not included in the" Profit/(loss) for the period", as they are included in a line below it, as can be seen in the following table.

CONCILIATION OF THE BBVA GROUP'S INCOME STATEMENTS. JUNE 2021 (MILLIONS OF EUROS)

CONSOLIDATED INCOME STATEMENT ADJUSTMENTS MANAGEMENT INCOME STATEMENT
1H21 1H21
NET INTEREST INCOME 6,955 6,955 Net interest income
Dividend income 125 (*)
Share of profit or loss of entities accounted for using the equity method (5) (*)
Fee and commission income 3,311 3,311 Fees and commissions income
Fee and commission expense (996) (996) Fees and commissions expenses
2,315 2,315 Net fees and commissions
Gains (losses) on derecognition of financial assets and liabilities not measured at fair value through profit or loss, net 121
Gains (losses) on financial assets and liabilities held for trading, net 463
Gains (losses) on non-trading financial assets mandatorily at fair value through profit or loss, net 280
Gains (losses) on financial assets and liabilities designated at fair value through profit or loss, net 96
Gains (losses) from hedge accounting, net (81)
Exchange differences, net 206
1,084 1,084 Net trading income
Other operating income 340
Other operating expense (997)
Income from insurance and reinsurance contracts 1,350
Expense from insurance and reinsurance contracts (909)
(95) (95) Other operating income and expenses
GROSS INCOME 10,259 10,259 Gross income
Administration costs (3,983) (4,598) Operating expenses (**)
Personnel expense (2,371) (2,371) Personnel expenses
Other administrative expense (1,612) (1,612) Other administrative expenses
Depreciation and amortization (615) (615) Depreciation
5,661 5,661 Operating income
Provisions or reversal of provisions (928) 754 (174) Provisions or reversal of provisions
Impairment or reversal of impairment on financial assets not measured at fair value through profit or loss or net gains by modification (1,580) (1,580) Impairment on financial assets not measured at fair value through profit or loss
NET OPERATING INCOME 3,153 754 3,907  
Impairment or reversal of impairment of investments in joint ventures and associates
Impairment or reversal of impairment on non-financial assets (196)
Gains (losses) on derecognition of non - financial assets and subsidiaries, net 5
Negative goodwill recognized in profit or loss
Gains (losses) from non-current assets and disposal groups classified as held for sale not qualifying as discontinued operations (73)
(264) 240 (24) Other gains (losses)
PROFIT (LOSS) BEFORE TAX FROM CONTINUING OPERATIONS 2,889 994 3,883 Profit/(loss) before tax
Tax expense or income related to profit or loss from continuing operations (782) (298) (1,080) Income tax
PROFIT (LOSS) AFTER TAX FROM CONTINUING OPERATIONS 2,107 696 2,803 Profit/(loss) for the period
Profit (loss) after tax from discontinued operations 280 (280)
PROFIT/(LOSS) 2,387 416 2,803 Profit/(loss) for the period
ATTRIBUTABLE TO MINORITY INTEREST (NON-CONTROLLING INTERESTS) (476) (476) Non-controlling interests
ATTRIBUTABLE TO OWNERS OF THE PARENT 1,911 416 2,327 Net attributable profit excluding nonrecurring impacts
280 280 Profit/(loss) after tax from discontinued operations
(696) (696) Net cost related to the restructuring process
ATTRIBUTABLE TO OWNERS OF THE PARENT 1,911 1,911 Net attributable profit/(loss)

(*) Included within the Other operating income and expenses of the Management Income Statements.

(**) Depreciations included.

Profit / (loss) for the period

Explanation of the formula: The profit/(loss) for the period is the profit/(loss) for the period from the Group’s consolidated income statement, which comprises the profit/(loss) after tax from continued operations and the profit/(loss) after tax from discontinued operations of BBVA USA and the rest of Group’s companies in the United States sold to PNC on June 1, 2021. If the described metric is presented on a date prior to the end of the year, it will be presented on an annualized basis.

Relevance of its use: This measure is commonly used, not only in the banking sectors, for homogeneous comparison purposes.

Profit/(loss) for the period

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
(Millions of euros) + Annualized profit/(loss) after tax from continued operations(1) 4,956 3,789 2,576
(Millions of euros) + Annualized profit/(loss) after tax from discontinued operations(2) 280 (1,729) (2,124)
= Profit/(loss) for the period 5,236 2,060 452

(1) The cost related to the restructuring process not annualized.

(2) January-June 2021 only includes the results generated by BBVA USA and the rest of Group's companies in the United States included in the agreement until its sale to PNC on June 1, 2021.

Adjusted profit/(loss) for the period

Explanation of the formula: The adjusted profit/(loss) for the period is the profit/(loss) from continued operations for the period from the Group’s consolidated income statement, excluding those extraordinary items that, for management purposes, are defined at any given moment. If the described metric is presented on a date prior to the end of the year, it will be presented on an annualized basis.

Relevance of its use: This measure is commonly used, not only in the banking sector, for homogeneous comparison purposes.

Adjusted profit/(loss) for the period

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
(Millions of euros) + Annualized profit/(loss) after tax from continued operations 4,956 3,789 2,576
(Millions of euros) - Net capital gains from the bancassurance transaction - 304 -
(Millions of euros) - Net cost related to the restructuring process (696) - -
= Adjusted profit/(loss) for the period 5,652 3,485 2,576

Net attributable profit/(loss)

Explanation of the formula: The net attributable profit/(loss) is the net attributable profit/(loss) of the Group’s consolidated income statement from continued operations and the profit/(loss) after tax from discontinued operations of BBVA USA and the rest of Group’s companies in the United States sold to PNC on June 1, 2021. If the described metric is presented on a date prior to the end of the year, it will be presented on an annualized basis.

Relevance of its use: This measure is commonly used, not only in the banking sector, for homogeneous comparison purposes.

Net attributable profit/(loss)

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
(Millions of euros) + Annualized net attributable profit/(loss) from continued operations(1) 3,997 3,033 1,905
(Millions of euros) + Annualized net attributable profit/(loss) from discontinued operations(2) 280 (1,729) (2,124)
= Net attributable profit/(loss) 4,276 1,305 (219)

(1) The cost related to the restructuring process not annualized.

(2) January-June 2021 only includes the results generated by BBVA USA and the rest of Group's companies in the United States included in the agreement until its sale to PNC on June 1, 2021.

Adjusted net attributable profit/(loss)

Explanation of the formula: The adjusted net attributable profit/(loss) is the net attributable profit/(loss) of the Group’s consolidated income statement from continued operations excluding those extraordinary items that, for management purposes are defined at any given moment. If the described metric is presented on a date prior to the end of the year, it will be presented on an annualized basis.

Relevance of its use: This measure is commonly used, not only in the banking sector, for comparison purposes.

Adjusted net attributable profit/(loss)

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
(Millions of euros) + Annualized net attributable profit/(loss) from continued operations 3,997 3,033 1,905
(Millions of euros) - Net capital gains from the bancassurance transaction - 304 -
(Millions of euros) - Net cost related to the restructuring process (696) - -
= Adjusted net attributable profit/(loss) 4,692 2,729 1,905

ROE

The ROE (return on equity) ratio measures the return obtained on an entity's shareholders' funds plus accumulated other comprehensive income. It is calculated as follows:

Net attributable profit/(loss)
Average shareholders' funds+Average accumulated other comprehensive income

Explanation of the formula: The numerator is the net attributable profit/(loss) previously defined in these alternative performance measures, If the metric is presented on a date before the close of the fiscal year, the numerator will be annualized.

Average shareholders' funds are the weighted moving average of the shareholders' funds at the end of each month of the period analyzed, adjusted to take into account the execution of the "dividend-option" at the closing dates on which it was agreed to deliver this type of dividend prior to the publication of the Group´s results.

Average accumulated other comprehensive income is the moving weighted average of "Accumulated other comprehensive income", which is part of the equity on the Entity's balance sheet and is calculated in the same way as average shareholders’ funds (above).

Relevance of its use: This ratio is very commonly used not only in the banking sector but also in other sectors to measure the return obtained on shareholders' funds.

ROE

Jan.-Jun,2021 Jan.-Dec,2020 Jan.-Jun,2020
Numerator (Millions of euros) Annualized net attributable profit/(loss) 4,276 1,305 (219)
Denominator (Millions of euros) + Average shareholder's funds 59,819 57,626 57,571
+ Average accumulated other comprehensive income (14,881) (12,858) (11,556)
= ROE 9.5% 2.9% (0.5)%

Adjusted ROE

The adjusted ROE (return on equity) ratio measures the return obtained on an entity's shareholders' funds plus accumulated other comprehensive income. It is calculated as follows:

Adjusted net attributable profit/(loss)
Average shareholders' funds+Average accumulated other comprehensive income

Explanation of the formula: The numerator is the adjusted net attributable profit/(loss) previously defined in these alternative performance measures. If the metric is presented on a date before the close of the fiscal year, the numerator will be annualized.

Average shareholders' funds are the weighted moving average of the shareholders' funds at the end of each month of the period analyzed, adjusted to take into account the execution of the "dividend-option" at the closing dates on which it was agreed to deliver this type of dividend prior to the publication of the Group´s results.

Average accumulated other comprehensive income is the moving weighted average of "Accumulated other comprehensive income", which is part of the equity on the entity's balance sheet and is calculated in the same way as average shareholders’ funds (above).

Relevance of its use: This ratio is very commonly used not only in the banking sector but also in other sectors to measure the return obtained on shareholders' funds.

Adjusted ROE

Jan.-Jun,2021 Jan.-Dec,2020 Jan.-Jun,2020
Numerator (Millions of euros) Adjusted annualized net attributable profit/(loss) 4,692 2,729 1,905
Denominator (Millions of euros) + Average shareholder's funds 59,819 57,626 57,571
+ Average accumulated other comprehensive income (14,881) (12,858) (11,556)
= Adjusted ROE 10.4% 6.1% 4.1%

ROTE

The ROTE (return on tangible equity) ratio measures the return on an entity's shareholders' funds, plus accumulated other comprehensive income, and excluding intangible assets. It is calculated as follows:

Net attributable profit/(loss)
Average shareholders' funds+Average accumulated other comprehensive income- Average intangible assets

Explanation of the formula: The numerator "Net attributable profit/(loss)" and the items in the denominator "Average intangible assets" and "Average accumulated other comprehensive income" are the same items and are calculated in the same way as explained for ROE.

Average intangible assets are the intangible assets on the balance sheet, including goodwill and other intangible assets. The average balance is calculated in the same way as explained for shareholders funds in ROE.

Relevance of its use: This metric is generally used not only in the banking sector but also in other sectors to measure the return obtained on shareholders' funds, not including intangible assets.

ROTE

Jan.-Jun,2021 Jan.-Dec,2020 Jan.-Jun,2020
Numerator (Millions of euros) Annualized net attributable profit/(loss) 4,276 1,305 (219)
Denominator (Millions of euros) + Average shareholder's funds 59,819 57,626 57,571
+ Average accumulated other comprehensive income (14,881) (12,858) (11,556)
- Average intangible assets 2,286 2,480 2,602
- Average intangible assets from BBVA USA and BBVA Paraguay (1) 1,809 2,528 3,032
= ROTE 10.5% 3.3% (0.5)%

(1) BBVA Paraguay includes 4 millions of euros as of January-December 2020 and January-June 2020.

Adjusted ROTE

The adjusted ROTE (return on tangible equity) ratio measures the return on an entity's shareholders' funds, plus accumulated other comprehensive income, and excluding intangible assets. It is calculated as follows:

Adjusted net attributable profit/(loss)
Average shareholders' funds+ Average accumulated other comprehensive income-Average intangible assets

Explanation of the formula: The numerator is the adjusted net attributable profit/(loss) previously defined in these alternative performance measures. If the metric is presented on a date before the close of the fiscal year, the numerator will be annualized.

Average intangible assets are the intangible assets on the balance sheet, excluding the assets from BBVA USA and the rest of Group’s companies in the United States included in the sale agreement signed with PNC, whose sale took place on June 1, 2021. The average balance is calculated in the same way as explained for shareholders' funds in ROE.

Relevance of its use: This metric is generally used not only in the banking sector but also in other sectors to measure the return obtained on shareholders' funds, not including intangible assets.

Adjusted ROTE

Jan.-Jun,2021 Jan.-Dec,2020 Jan.-Jun,2020
Numerator (Millions of euros) Adjusted annualized net attributable profit/(loss) 4,692 2,729 1,905
Denominator (Millions of euros) + Average shareholder's funds 59,819 57,626 57,571
+ Average accumulated other comprehensive income (14,881) (12,858) (11,556)
- Average intangible assets 2,286 2,480 2,602
- Average intangible assets from BBVA Paraguay - 4 4
= Adjusted ROTE 11.0% 6.5% 4.4%

ROA

The ROA (return on assets) ratio measures the return obtained on an entity's assets. It is calculated as follows:

Profit/(loss) for the period
Average total assets

Explanation of the formula: The numerator is the profit/(loss) for the period, previously defined in these alternative performance measures. If the metric is presented on a date before the close of the fiscal year, the numerator must be annualized.

Average total assets are taken from the Group’s consolidated balance sheet. The average balance is calculated as explained for average shareholders' funds in the ROE.

Relevance of its use: This ratio is generally used not only in the banking sector but also in other sectors to measure the return obtained on assets.

ROA

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
Numerator (Millions of euros) Annualized profit/(loss) for the period 5,236 2,060 452
Denominator (Millions of euros) Average total assets 710,112 729,833 728,303
  = ROA 0.74% 0.28% 0.06%

Adjusted ROA

The adjusted ROA (return on assets) ratio measures the return obtained on an entity's assets. It is calculated as follows:

Adjusted profit/(loss) for the period
Average total assets

Explanation of the formula: The numerator is the adjusted profit/(loss) for the period previously defined in these alternative performance measures. If the metric is presented on a date before the close of the fiscal year, the numerator will be annualized.

Average total assets are taken from the Group's consolidated balance sheets, excluding the assets from BBVA and the rest of Group’s companies in the United States included in the sale agreement signed with PNC, whose sale took place on June 1, 2021. The average balance is calculated in the same way as explained for average equity in ROE.

Relevance of its use: This ratio is generally used not only in the banking sector but also in other sectors to measure the return obtained on assets.

Adjusted ROA

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
Numerator (Millions of euros) Adjusted annualized profit/(loss) for the period 5,652 3,485 2,576
Denominator (Millions of euros) Average total assets 632,634 642,762 640,615
  = Adjusted ROA 0.89% 0.54% 0.40%

RORWA

The RORWA (return on risk-weighted assets) ratio measures the accounting return obtained on average risk-weighted assets. It is calculated as follows:

Profit/(loss) for the period
Average risk-weighted assets

Explanation of the formula: The numerator is the profit/(loss) for the period previously defined in these alternative performance measures. If the metric is presented on a date before the close of the fiscal year, the numerator will be annualized.

Average risk-weighted assets (RWA) are the moving weighted average of the risk-weighted assets at the end of each month of the period under analysis.

Relevance of its use: This ratio is generally used in the banking sector to measure the return obtained on RWA.

RORWA

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
Numerator (Millions of euros) Annualized profit/(loss) for the period 5,236 2,060 452
Denominator (Millions of euros) Average RWA 346,770 358,675 369,228
  = RORWA 1.51% 0.57% 0.12%

Adjusted RORWA

The adjusted RORWA (return on risk-weighted assets) ratio measures the return obtained on an entity's assets. It is calculated as follows:

Adjusted profit/(loss) for the period
Average risk-weighted assets

Explanation of the formula: The numerator is the adjusted profit/(loss) for the period previously defined in these alternative performance measures. If the metric is presented on a date before the close of the fiscal year, the numerator will be annualized.

Average risk-weighted assets (RWA) are the moving weighted average of the risk-weighted assets at the end of each month of the period under analysis, excluding the RWA from BBVA USA and the rest of Group’s companies in the United States included in the sale agreement signed with PNC, whose sale took place on June 1, 2021.

Relevance of its use: This ratio is generally used not only in the banking sector but also in other sectors to measure the return obtained on assets.

Adjusted RORWA

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
Numerator (Millions of euros) Adjusted annualized profit/(loss) for the period 5,652 3,485 2,576
Denominator (Millions of euros) Average RWA 297,277 300,518 308,655
  = Adjusted RORWA 1.90% 1.16% 0.83%

Earning per share

The earning per share is calculated in accordance to the criteria established in the IAS 33 “Earnings per share”.

Earnings/(losses) per share

Jan.-Jun,2021 Jan.-Dec,2020 Jan.-Jun,2020
Numerator (millions of euros) + Net attributable profit/(loss) 1,911 1,305 (1,157)
- Remuneration related to the Additional Tier 1 securities (CoCos) 201 387 201
= Net attributable profit/(loss) ex.CoCos remuneration 1,710 917 (1,357)
Denominator (millions) + Average number of shares 6,668 6,668 6,668
- Average treasury shares of the period 10 13 7
= Earnings/(losses) per share (euros) 0.26 0.14 (0.20)

Additionally, for management purposes, earnings per share are presented excluding: (I) the profit after tax from discontinued operations, that is, the results generated by BBVA USA and the rest of the Group companies in the United States until their sale to PNC on June 1, 2021, for the three broken down periods; (II) the capital gain net of taxes from the bancassurance operation with Allianz registered in the fourth quarter of fiscal year 2020; and (III) the net cost related to the restructuring process recorded in the second quarter of fiscal year 2021.

Earnings/(losses) per share excluding non-recurring impacts

Jan.-Jun,2021 Jan.-Dec,2020 Jan.-Jun,2020
(Millions of euros) + Net attributable profit/(loss) ex. CoCos remuneration 1,710 917 (1,357)
(Millions of euros) - Discontinued operations 280 (1,729) (2,104)
(Millions of euros) - Net capital gain from the bancassurance operation - 304 -
(Millions of euros) - Net cost related to the restructuring process (696) - -
Numerator (millions of euros) = Net Attributable profit ex.CoCos and non-recurring impacts 2,126 2,342 746
Denominator (millions) + Average number of shares 6,668 6,668 6,668
- Average treasury shares of the period 10 13 7
= Earnings/(losses) per share excluding nonrecurring impacts (euros) 0.32 0.35 0.11

Efficiency ratio

This measures the percentage of gross income consumed by an entity's operating expenses. It is calculated as follows:

Operating expenses
Gross income

Explanation of the formula: Both "Operating expenses" and "Gross income" are taken from the Group’s consolidated income statement. Operating expenses are the sum of the administration costs (personnel expenses plus other administrative expenses) plus depreciation. Gross income is the sum of net interest income, net fees and commissions, net trading income dividend income, share of profit or loss of entities accounted for using the equity method, and other operating income and expenses. For a more detailed calculation of this ratio, the graphs on "Results" section of this report should be consulted, one of them with calculations with figures at current exchange rates and another with the data at constant exchange rates.

Relevance of its use: This ratio is generally used in the banking sector. In addition, it is an indicator from one of the six Strategic Priorities of the Group.

Efficiency ratio

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
Numerator (Millions of euros) Operating expenses 4,598 9,088 4,660
Denominator (Millions of euros) Gross income 10,259 20,166 10,639
  = Efficiency ratio 44.8% 45.1% 43.8%

Dividend yield

This is the remuneration given to the shareholders in the last twelve calendar months, divided by the closing price for the period. It is calculated as follows:

∑ Dividend per share over the last twelve months
Closing price

Explanation of the formula: The remuneration per share takes into account the gross amounts per share paid out over the last twelve months, both in cash and through the flexible remuneration system called "dividend option".

Relevance of its use: This ratio is generally used by analysts, shareholders and investors for companies that are traded on the stock market. It compares the dividend paid out by a company every year with its market price at a specific date.

Dividend yield

30-06-21 31-12-20 30-06-20
Numerator (Euros) ∑ Dividends 0.06 0.16 0.26
Denominator (Euros) Closing price 5.23 4.04 3.06
  = Dividend yield 1.1% 4.0% 8.5%

Book value per share

The book value per share determines the value of a company on its books for each share held. It is calculated as follows:

Shareholders' funds + Accumulated other comprehensive income
Number of shares outstanding - Treasury shares

Explanation of the formula: The figures for both "Shareholders' funds" and "Accumulated other comprehensive income" are taken from the balance sheet. Shareholders' funds are adjusted to take into account the execution of the "dividend-option" at the closing dates on which it was agreed to deliver this type of dividend prior to the publication of the Group´s results. The denominator includes the final number of outstanding shares excluding own shares (treasury shares). The denominator is also adjusted to include the capital increase resulting from the execution of the dividend options explained above. Both the numerator and the denominator take into account period-end balances.

Relevance of its use: It shows the company's book value for each share issued. It is a generally used ratio, not only in the banking sector but also in others.

Book value per share

30-06-21 31-12-20 30-06-20
Numerator (Millions of euros) + Shareholders' funds 59,864 58,904 56,541
+ Dividend-option adjustment - - -
+ Accumulated other comprehensive income (15,348) (14,356) (12,822)
Denominator (Millions of shares) + Number of shares outstanding 6,668 6,668 6,668
+ Dividend-option - - -
- Treasury shares 9 14 9
= Book value per share (euros / share) 6.69 6.70 6.57

Tangible book value per share

The tangible book value per share determines the value of the company on its books for each share held by shareholders in the event of liquidation. It is calculated as follows:

Shareholders' funds + Accumulated other comprehensive income - Intangible assets
Number of shares outstanding - Treasury shares

Explanation of the formula: The figures for "Shareholders' funds", "Accumulated other comprehensive income" and "Intangible assets" are all taken from the balance sheet. Shareholders' funds are adjusted to take into account the execution of the "Dividendoption" at the closing dates on which it was agreed to deliver this type of dividend prior to the publication of the Group´s results. The denominator includes the final number of shares outstanding excluding own shares (treasury shares). The denominator is also adjusted to include the result of the capital increase resulting from the execution of the dividend options explained above. Both the numerator and the denominator take into account period-end balances.

Relevance of its use: It shows the company's book value for each share issued, after deducting intangible assets. It is a generally used ratio, not only in the banking sector but also in others.

Tangible book value per share

30-06-21 31-12-20 30-06-20
Numerator (Millions of euros) + Shareholders' funds 59,864 58,904 56,541
+ Dividend-option adjustment - - -
+ Accumulated other comprehensive income (15,348) (14,356) (12,822)
- Intangible assets 2,303 2,345 2,487
- Intangible assets from BBVA USA and BBVA Paraguay (1) - 1,952 2,140
Denominator (Millions of shares) + Number of shares outstanding 6,668 6,668 6,668
+ Dividend-option - - -
- Treasury shares 9 14 9
= Tangible book value per share (euros / share) 6.34 6.05 5.87

(1) BBVA Paraguay includes 4 millions of euros as of 31-12-20 and 30-06-20.

Non-performing loan (NPL) ratio

It is the ratio between the risks classified for accounting purposes as non-performing loans and the total credit risk balance, both excluding the balances from BBVA USA and the rest of the Group´s companies in the United States included in the sale agreement signed with PNC, which was completed on June 1, 2021. It is calculated as follows:

Non-performing loans
Total credit risk

Explanation of the formula: non-performing loans and the credit risk balance are gross, meaning they are not adjusted by associated accounting provisions.

Non-performing loans are calculated as the sum of “loans and advances at amortized cost” and the “contingent risk” in stage 36 and the following counterparties:

  • other financial entities
  • public sector
  • non-financial institutions
  • households

The credit risk balance is calculated as the sum of "Loans and advances at amortized cost" and "Contingent risk" in stage 1 + stage 2 + stage 3 of the previous counterparts.

This indicator is shown, as others, at a business area level.

Relevance of its use: This is one of the main indicators used in the banking sector to monitor the current situation and changes in credit risk quality, and specifically the relationship between risks classified in the accounts as non-performing loans and the total balance of credit risk, with respect to customers and contingent liabilities.

6 IFRS 9 classifies financial instruments into three stages, which depend on the evolution of their credit risk from the moment of initial recognition. The stage 1 includes operations when they are initially recognized , stage 2 comprises operations for which a significant increase in credit risk has been identified since their initial recognition and,stage 3, impaired operations.

Non-Performing Loans (NPLs) ratio

30-06-21 31-12-20 30-06-20
Numerator (Millions of euros) NPLs 15,676 15,451 15,594
Denominator (Millions of euros) Credit Risk 370,348 366,883 384,310
  = Non-Performing Loans (NPLs) ratio 4.2% 4.2% 4.1%

NPL coverage ratio

This ratio reflects the degree to which the impairment of non-performing loans has been covered in the accounts via allowances, excluding assets from BBVA USA and the rest of the Group´s companies in the United States included in the sale agreement signed with PNC, which was completed on June 1, 2021. It is calculated as follows:

Provisions
Non-performing loans

Explanation of the formula: It is calculated as "Provisions" from stage 1 + stage 2 + stage 3, divided by non-performing loans, formed by “credit risk” from stage 3.

This indicator is shown, as others, at a business area level.

Relevance of its use: This is one of the main indicators used in the banking sector to monitor the situation and changes in the quality of credit risk, reflecting the degree to which the impairment of non-performing loans has been covered in the accounts via value adjustments.

NPL coverage ratio

30-06-21 31-12-20 30-06-20
Numerator (Millions of euros) Provisions 12,033 12,595 12,957
Denominator (Millions of euros) NPLs 15,676 15,451 15,594
  = NPL coverage ratio 77% 82% 83%

Cost of risk

This ratio indicates the current situation and changes in credit-risk quality through the annual cost in terms of impairment losses (accounting loan-loss provisions) of each unit of loans and advances to customers (gross). It excludes the risk attributable to BBVA USA and the rest of the Group´s companies in the United States included in the sale agreement signed with PNC, which was completed on June 1, 2021. It is calculated as follows:

Annualized loan-loss provisions
Average loans and advances to customers (gross)

Explanation of the formula: "Loans to customers (gross)" refers to the "Loans and advances at amortized cost" portfolios with the following counterparts:

  • other financial entities
  • public sector
  • non-financial institutions
  • households, excluding central banks and other credit institutions.

Average loans to customers (gross) is calculated by using the average of the period-end balances of each month of the period analyzed plus the previous month. "Annualized loan-loss provisions" are calculated by accumulating and annualizing the loan-loss provisions of each month of the period under analysis.

Loan-loss provisions refer to the aforementioned loans and advances at amortized cost portfolios.

This indicator is shown, as others, at a business area level.

Relevance of its use: This is one of the main indicators used in the banking sector to monitor the situation and changes in the quality of credit risk through the cost over the year.

Adjusted RORWA

Jan.-Jun.2021 Jan.-Dec.2020 Jan.-Jun.2020
Numerator (Millions of euros) Annualized loan-loss provisions 3,229 5,160 6,984
Denominator (Millions of euros) Average loans to customers (gross) 322,386 332,096 337,890
  = Cost of risk 1.00% 1.55% 2.07%