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Derivative Financial Instruments
12 Months Ended
Oct. 31, 2021
Text Block [Abstract]  
Derivative Financial Instruments
 
10
Derivative Financial Instruments
 
(a)
Notional amounts
(1)
The following table provides the aggregate notional amounts of derivative financial instruments outstanding by type and segregated between those used by the Bank in its dealer capacity (Trading) and those derivatives designated in hedging relationships. The notional amounts of these contracts represent the derivatives volume outstanding and do not represent the potential gain or loss associated with the market risk or credit risk of such instruments. Credit derivatives within other derivative contracts are comprised primarily of purchased and sold credit default swap transactions. To a lesser extent, this category also includes total return swaps referenced to loans and debt securities. Other derivative contracts – other includes precious metals other than gold, and other commodities including energy and base metal derivatives.
 
   
2021
   
2020
 
As at October 31 ($ millions)  
Trading
   
Hedging
   
Total
   
Trading
   
Hedging
   
Total
 
Interest rate contracts
                                               
Exchange-traded:
                                               
Futures
 
$
123,348
 
 
$
 
 
$
123,348
 
  $ 111,065     $     $ 111,065  
Options purchased
 
 
2,562
 
 
 
 
 
 
2,562
 
    2,047             2,047  
Options written
 
 
1,000
 
 
 
 
 
 
1,000
 
                 
   
 
126,910
 
 
 
 
 
 
126,910
 
    113,112             113,112  
Over-the-counter:
                                               
Forward rate agreements
 
 
820
 
 
 
 
 
 
820
 
    7,573             7,573  
Swaps
 
 
336,144
 
 
 
27,875
 
 
 
364,019
 
    380,118       27,987       408,105  
Options purchased
 
 
38,298
 
 
 
 
 
 
38,298
 
    26,167             26,167  
Options written
 
 
40,785
 
 
 
 
 
 
40,785
 
    29,343             29,343  
   
 
416,047
 
 
 
27,875
 
 
 
443,922
 
    443,201       27,987       471,188  
Over-the-counter (settled through central counterparties):
                                               
Forward rate agreements
 
 
219,021
 
 
 
 
 
 
219,021
 
    598,653             598,653  
Swaps
 
 
3,708,222
 
 
 
289,185
 
 
 
3,997,407
 
    2,960,778       236,603       3,197,381  
Options purchased
 
 
 
 
 
 
 
 
 
                 
Options written
 
 
 
 
 
 
 
 
 
                 
   
 
3,927,243
 
 
 
289,185
 
 
 
4,216,428
 
    3,559,431       236,603       3,796,034  
Total
 
$
4,470,200
 
 
$
317,060
 
 
$
4,787,260
 
  $ 4,115,744     $ 264,590     $ 4,380,334  
Foreign exchange and gold contracts
                                               
Exchange-traded:
                                               
Futures
 
$
15,798
 
 
$
 
 
$
15,798
 
  $ 9,548     $     $ 9,548  
Options purchased
 
 
 
 
 
 
 
 
 
    258             258  
Options written
 
 
 
 
 
 
 
 
 
    187             187  
   
 
15,798
 
 
 
 
 
 
15,798
 
    9,993             9,993  
Over-the-counter:
                                               
Spot and forwards
 
 
381,737
 
 
 
28,642
 
 
 
410,379
 
    354,235       19,114       373,349  
Swaps
 
 
502,558
 
 
 
67,617
 
 
 
570,175
 
    457,942       78,433       536,375  
Options purchased
 
 
16,256
 
 
 
 
 
 
16,256
 
    33,754             33,754  
Options written
 
 
16,495
 
 
 
 
 
 
16,495
 
    32,613             32,613  
   
 
917,046
 
 
 
96,259
 
 
 
1,013,305
 
    878,544       97,547       976,091  
Over-the-counter (settled through central counterparties):
                                               
Spot and forwards
 
 
16,627
 
 
 
 
 
 
16,627
 
    27,579             27,579  
Swaps
 
 
 
 
 
 
 
 
 
                 
Options purchased
 
 
 
 
 
 
 
 
 
                 
Options written
 
 
 
 
 
 
 
 
 
                 
   
 
16,627
 
 
 
 
 
 
16,627
 
    27,579             27,579  
Total
 
$
949,471
 
 
$
96,259
 
 
$
1,045,730
 
  $ 916,116     $ 97,547     $ 1,013,663  
Other derivative contracts
                                               
Exchange-traded:
                                               
Equity
 
$
52,335
 
 
$
 
 
$
52,335
 
  $ 45,099     $     $ 45,099  
Credit
 
 
 
 
 
 
 
 
 
                 
Commodity and other contracts
 
 
31,652
 
 
 
 
 
 
31,652
 
    27,083             27,083  
   
 
83,987
 
 
 
 
 
 
83,987
 
    72,182             72,182  
Over-the-counter:
                                               
Equity
 
 
92,052
 
 
 
965
 
 
 
93,017
 
    82,343       582       82,925  
Credit
 
 
20,800
 
 
 
 
 
 
20,800
 
    23,666             23,666  
Commodity and other contracts
 
 
29,476
 
 
 
 
 
 
29,476
 
    37,887             37,887  
   
 
142,328
 
 
 
965
 
 
 
143,293
 
    143,896       582       144,478  
Over-the-counter (settled through central counterparties):
                                               
Equity
 
 
 
 
 
 
 
 
 
                 
Credit
 
 
6,621
 
 
 
 
 
 
6,621
 
    10,485             10,485  
Commodity and other contracts
 
 
201
 
 
 
 
 
 
201
 
    234             234  
   
 
6,822
 
 
 
 
 
 
6,822
 
    10,719             10,719  
Total
 
$
233,137
 
 
$
965
 
 
$
234,102
 
  $ 226,797     $ 582     $ 227,379  
Total notional amounts outstanding
 
$
  5,652,808
 
 
$
  414,284
 
 
$
  6,067,092
 
  $   5,258,657     $   362,719     $   5,621,376  
 
(1)
The notional amounts represent the amount to which a rate or price is applied to determine the amount of cash flows to be exchanged.
 
(b)
Remaining term to maturity
The following table summarizes the remaining term to maturity of the notional amounts of the Bank’s derivative financial instruments by type:
 
As at October 31, 2021 ($ millions)  
Within one year
   
One to five years
   
Over five years
   
Total
 
Interest rate contracts
                               
Futures
 
$
68,444
 
 
$
54,787
 
 
$
117
 
 
$
123,348
 
Forward rate agreements
 
 
172,600
 
 
 
46,433
 
 
 
808
 
 
 
219,841
 
Swaps
 
 
1,461,005
 
 
 
1,989,045
 
 
 
911,376
 
 
 
4,361,426
 
Options purchased
 
 
22,432
 
 
 
15,694
 
 
 
2,734
 
 
 
40,860
 
Options written
 
 
17,428
 
 
 
14,895
 
 
 
9,462
 
 
 
41,785
 
   
 
1,741,909
 
 
 
2,120,854
 
 
 
924,497
 
 
 
4,787,260
 
Foreign exchange and gold contracts
                               
Futures
 
 
9,032
 
 
 
6,382
 
 
 
384
 
 
 
15,798
 
Spot and forwards
 
 
399,518
 
 
 
21,526
 
 
 
5,962
 
 
 
427,006
 
Swaps
 
 
116,067
 
 
 
287,705
 
 
 
166,403
 
 
 
570,175
 
Options purchased
 
 
12,215
 
 
 
3,976
 
 
 
65
 
 
 
16,256
 
Options written
 
 
14,373
 
 
 
2,115
 
 
 
7
 
 
 
16,495
 
   
 
551,205
 
 
 
321,704
 
 
 
172,821
 
 
 
1,045,730
 
Other derivative contracts
                               
Equity
 
 
102,031
 
 
 
43,146
 
 
 
175
 
 
 
145,352
 
Credit
 
 
15,554
 
 
 
7,810
 
 
 
4,057
 
 
 
27,421
 
Commodity and other contracts
 
 
39,966
 
 
 
21,182
 
 
 
181
 
 
 
61,329
 
   
 
157,551
 
 
 
72,138
 
 
 
4,413
 
 
 
234,102
 
Total
 
$
2,450,665
 
 
$
2,514,696
 
 
$
  1,101,731
 
 
$
6,067,092
 
         
As at October 31, 2020 ($ millions)  
Within one year
   
One to five years
   
Over five years
   
Total
 
Interest rate contracts
                               
Futures
  $ 63,381     $ 47,648     $ 36     $ 111,065  
Forward rate agreements
    493,676       105,747       6,803       606,226  
Swaps
    1,204,974       1,617,615       782,897       3,605,486  
Options purchased
    9,596       17,011       1,607       28,214  
Options written
    5,784       15,919       7,640       29,343  
      1,777,411       1,803,940       798,983       4,380,334  
Foreign exchange and gold contracts
                               
Futures
    7,144       2,404             9,548  
Spot and forwards
    373,511       22,353       5,064       400,928  
Swaps
    111,610       256,789       167,976       536,375  
Options purchased
    28,329       5,615       68       34,012  
Options written
    29,989       2,811             32,800  
      550,583       289,972       173,108       1,013,663  
Other derivative contracts
                               
Equity
    81,897       45,083       1,044       128,024  
Credit
    19,910       8,965       5,276       34,151  
Commodity and other contracts
    48,970       15,896       338       65,204  
      150,777       69,944       6,658       227,379  
Total
  $   2,478,771     $   2,163,856     $   978,749     $   5,621,376  
 
(c)
Credit risk
As with other financial assets, derivative instruments are subject to credit risk. Credit risk arises from the possibility that counterparties may default on their obligations to the Bank. However, whereas the credit risk of other financial assets is represented by the principal amount net of any applicable allowance for credit losses, the credit risk associated with derivatives is normally a small fraction of the notional amount of the derivative instrument.
Derivative contracts generally expose the Bank to credit loss if changes in market rates affect a counterparty’s position unfavourably and the counterparty defaults on payment. Accordingly, exposure to credit risk of derivatives is represented by the positive fair value of the instrument.
Negotiated over-the-counter derivatives generally present greater credit exposure than exchange-traded contracts. The net change in the exchange-traded contracts is normally settled daily in cash with the exchange. Holders of these contracts look to the exchange for performance under the contract.
The Bank strives to limit credit risk by dealing with counterparties that it believes are creditworthy, and investment grade counterparties account for a significant portion of the credit risk exposure arising from the Bank’s derivative transactions as at October 31, 2021. To control credit risk associated with derivatives, the Bank uses similar credit risk management activities and procedures to the approaches used in the lending business in assessing and adjudicating exposure. The Bank utilizes a risk metric, potential future exposure (PFE) for derivatives, to measure utilization
 
against established credit limits to the counterparty. PFE measures the effect that changes in the market have on derivative exposures throughout the lifetime of the counterparties’ trades. Additionally, PFE considers risk mitigants such as netting and collateralization. PFE limits and utilization for derivatives counterparties are authorized and monitored by the Bank’s risk management unit.
The Bank obtains the benefit of netting by entering into master netting arrangements with counterparties (typically industry standard International Swaps and Derivatives Association (ISDA) agreements), which allow for a single net settlement of all transactions covered by that agreement in the event of a default or early termination of the transactions. In this manner, the credit risk associated with favourable contracts is eliminated by the master netting arrangement to the extent that unfavourable contracts with the same counterparty are not settled before favourable contracts.
Collateralization is typically documented by way of an ISDA Credit Support Annex (CSA), the terms of which may vary according to each party’s view of the other party’s creditworthiness. CSAs can require one party to post initial margin at the onset of each transaction. CSAs also allow for variation margin to be called if total uncollateralized mark-to-market exposure exceeds an agreed upon threshold. Such variation margin provisions can be one way (only one party will ever post collateral) or bi-lateral (either party may post collateral depending upon which party is in-the-money). The CSA will also detail the types of collateral that are acceptable to each party, and the adjustments that will be applied against each collateral type. The terms of the ISDA master netting agreements and CSAs are taken into consideration in the calculation of counterparty credit risk exposure (see also page 91 of the 2021 Annual Report).
Derivative instruments used by the Bank include credit derivatives in its investment and loan portfolios: credit protection is sold as an alternative to acquiring exposure to bond or loan assets, and bought to manage or mitigate credit exposures.
The following table summarizes the credit exposure of the Bank’s derivative financial instruments. The credit risk amount (CRA) represents the estimated replacement cost, or positive fair value, for all contracts. CRA takes into account master netting or collateral arrangements that have been made
1
. CRA does not reflect actual or expected losses.
The credit equivalent amount (CEA) is the exposure at default (EAD) prescribed in the Capital Adequacy Requirements (CAR) Guidelines of the Office of the Superintendent of Financial Institutions (OSFI). The risk-weighted asset is calculated by multiplying the CEA by the capital requirement (K) times 12.5, where K is a function of the probability of default (PD), loss given default (LGD), maturity and prescribed correlation factors. Other derivative contracts – other includes precious metals other than gold, and other commodities, including energy and base metal derivatives.
 
   
2021
        
2020
 
As at October 31 ($ millions)  
Notional amount
   
Credit risk
amount
(CRA)
(1)
   
Credit
equivalent
amount
(CEA)
(1)
   
Risk-
Weighted
Assets
        
Notional amount
   
Credit risk
amount
(CRA)
(1)
   
Credit
equivalent
amount
(CEA)
(1)
   
Risk-
Weighted
Assets
 
Interest rate contracts
                                                                   
Futures
 
$
123,348
 
 
$
 
 
$
18
 
 
$
1
 
      $ 111,065     $     $ 46     $  
Forward rate agreements
 
 
219,841
 
 
 
32
 
 
 
125
 
 
 
68
 
        606,226       52       129       45  
Swaps
 
 
4,361,426
 
 
 
3,951
 
 
 
4,760
 
 
 
1,120
 
          3,605,486       7,418       8,343       2,610  
Options purchased
 
 
40,860
 
 
 
70
 
 
 
44
 
 
 
10
 
        28,214       78       46       13  
Options written
 
 
41,785
 
 
 
 
 
 
11
 
 
 
3
 
 
 
    29,343             21       6  
   
 
4,787,260
 
 
 
4,053
 
 
 
4,958
 
 
 
1,202
 
 
 
    4,380,334       7,548       8,585       2,674  
Foreign exchange and gold contracts
                                                                   
Futures
 
 
15,798
 
 
 
 
 
 
148
 
 
 
3
 
        9,548             42        
Spot and forwards
 
 
427,006
 
 
 
1,604
 
 
 
4,455
 
 
 
1,404
 
        400,928       1,492       3,821       1,170  
Swaps
 
 
570,175
 
 
 
1,128
 
 
 
7,287
 
 
 
1,660
 
        536,375       775       6,313       1,680  
Options purchased
 
 
16,256
 
 
 
351
 
 
 
247
 
 
 
118
 
        34,012       933       467       242  
Options written
 
 
16,495
 
 
 
 
 
 
14
 
 
 
2
 
 
 
    32,800             18       2  
   
 
1,045,730
 
 
 
3,083
 
 
 
12,151
 
 
 
3,187
 
 
 
    1,013,663       3,200       10,661       3,094  
Other derivative contracts
                                                                   
Equity
 
 
145,352
 
 
 
1,423
 
 
 
9,707
 
 
 
1,340
 
        128,024       1,098       7,091       1,004  
Credit
 
 
27,421
 
 
 
197
 
 
 
304
 
 
 
59
 
        34,151       270       458       116  
Commodity and other contracts
 
 
61,329
 
 
 
4,562
 
 
 
6,610
 
 
 
1,182
 
 
 
    65,204       868       3,629       592  
   
 
234,102
 
 
 
6,182
 
 
 
16,621
 
 
 
2,581
 
 
 
    227,379       2,236       11,178       1,712  
Credit Valuation Adjustment
 
 
 
 
 
 
 
 
 
 
 
3,957
 
 
 
                      5,330  
Total derivatives
 
$
6,067,092
 
 
$
  13,318
 
 
$
  33,730
 
 
$
  10,927
 
 
 
  $ 5,621,376     $ 12,984     $ 30,424     $ 12,810  
Amount settled through central counterparties
(2)
                                                                   
Exchange-traded
 
 
226,695
 
 
 
 
 
 
5,200
 
 
 
123
 
        195,287             4,194       95  
Over-the-counter
 
 
4,239,877
 
 
 
 
 
 
849
 
 
 
17
 
 
 
    3,834,332             872       17  
 
 
$
  4,466,572
 
 
$
 
 
$
6,049
 
 
$
140
 
 
 
  $ 4,029,619     $     $ 5,066     $ 112  
 
(1)
The amounts presented are net of collateral and master netting agreements at the product level. The total amounts relating to netting and collateral were $28,961 (2020 – $32,081) for CRA, and $67,487 (2020 – $66,686) for CEA.
(2)
Amounts are included under total derivatives above. Amounts include exposures settled directly through central counterparties and exposures settled through clearing members of central counterparties.
 
1
 
Regulatory haircuts prescribed by the OSFI CAR Guidelines are applied to the collateral balances of the CRA measure.
(d)
Fair value
The following table summarizes the fair value of derivatives segregated by type and segregated between trading and those derivatives designated in hedging relationships.
 
As at October 31 ($ millions)  
2021
   
2021
          
2020
 
   
Average fair value
   
Year-end fair value
         
Year-end fair value
(1)
 
    
Favourable
   
Unfavourable
   
Favourable
   
Unfavourable
          
Favourable
   
Unfavourable
 
Trading
                                                       
Interest rate contracts
                                                       
Forward rate agreements
 
$
58
 
 
$
3
 
 
$
69
 
 
$
3
 
          $ 138     $  
Swaps
 
 
13,702
 
 
 
11,652
 
 
 
9,805
 
 
 
9,427
 
            18,007       13,044  
Options
 
 
271
 
 
 
233
 
 
 
412
 
 
 
195
 
 
 
 
 
    89       80  
   
 
14,031
 
 
 
11,888
 
 
 
10,286
 
 
 
9,625
 
 
 
 
 
    18,234       13,124  
Foreign exchange and gold contracts
                                                       
Forwards
 
 
4,430
 
 
 
3,931
 
 
 
4,823
 
 
 
4,154
 
            4,048       3,448  
Swaps
 
 
9,374
 
 
 
10,851
 
 
 
9,070
 
 
 
10,796
 
            9,931       12,934  
Options
 
 
615
 
 
 
503
 
 
 
357
 
 
 
259
 
 
 
 
 
    984       752  
   
 
14,419
 
 
 
15,285
 
 
 
14,250
 
 
 
15,209
 
 
 
 
 
    14,963       17,134  
Other derivative contracts
                                                       
Equity
 
 
3,482
 
 
 
3,918
 
 
 
3,677
 
 
 
5,049
 
            2,940       2,732  
Credit
 
 
239
 
 
 
40
 
 
 
245
 
 
 
30
 
            480       53  
Commodity and other contracts
 
 
4,875
 
 
 
4,208
 
 
 
6,921
 
 
 
5,789
 
 
 
 
 
    2,677       2,995  
   
 
8,596
 
 
 
8,166
 
 
 
10,843
 
 
 
10,868
 
 
 
 
 
    6,097       5,780  
Trading derivatives’ market valuation
 
$
  37,046
 
 
$
  35,339
 
 
$
35,379
 
 
$
35,702
 
 
 
 
 
  $   39,294     $   36,038  
Hedging
                                                       
Interest rate contracts
                                                       
Swaps
                 
$
2,839
 
 
$
3,538
 
 
 
 
 
  $ 2,783     $ 3,830  
Foreign exchange and gold contracts
                                                       
Forwards
                 
 
461
 
 
 
236
 
            198       220  
Swaps
                 
 
3,582
 
 
 
2,726
 
 
 
 
 
    2,782       2,157  
                   
$
4,043
 
 
$
2,962
 
 
 
 
 
  $ 2,980     $ 2,377  
Other derivative contracts
                 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Equity
                 
$
41
 
 
$
1
 
 
 
 
 
  $ 8     $ 2  
Hedging derivatives’ market valuation
                 
$
6,923
 
 
$
6,501
 
 
 
 
 
  $ 5,771     $ 6,209  
Total derivative financial instruments as per
Statement of Financial Position
                 
$
  42,302
 
 
$
  42,203
 
 
 
 
 
  $ 45,065     $ 42,247  
               
Less: impact of master netting and collateral
(2)
                 
 
28,961
 
 
 
28,961
 
 
 
 
 
    32,081       32,081  
Net derivative financial instruments
(2)
 
 
 
 
 
 
 
 
 
$
13,341
 
 
$
13,242
 
 
 
 
 
  $ 12,984     $ 10,166  
 
(1)
The average fair value of trading derivatives’ market valuation for the year ended October 31, 2020 was: favourable $44,942 and unfavourable $44,332. Average fair value amounts are based on the latest 13 month-end balances.
(2)
Master netting agreement amounts are based on the capital adequacy criteria of the Basel Committee on Banking Supervision (BCBS) and OSFI. These criteria allow netting where there are legally enforceable contracts which enable net settlement in the event of a default, bankruptcy, liquidation or similar circumstances.
 
(e)
Hedging activities
The Bank manages interest rate risk, foreign currency risk and equity risk through hedge accounting transactions.
Interest rate risk
Single-currency interest rate swaps are used to hedge interest rate risk exposure. In fair value hedges of interest rate risk, the interest rate exposure from fixed rate assets and liabilities is converted from fixed to floating rate exposure. In cash flow hedges of interest rate risk, the interest rate exposure from floating rate assets and liabilities is converted from floating to fixed rate exposure. The Bank generally hedges interest rate risk only to the extent of benchmark interest rates. The total interest cash flows usually comprise a spread in addition to the benchmark rate.
Foreign currency risk
In fair value hedges, cross-currency interest rate swaps and single-currency interest rate swaps are used to manage foreign currency exposure in conjunction with interest rate exposure. Cross-currency interest rate swaps or a combination of cross-currency and single-currency interest rate swaps are mainly used to convert a foreign currency fixed rate exposure to a functional currency floating rate exposure. In hedges of both foreign currency and interest rate exposure, the interest rate risk is generally hedged only to the extent of the benchmark interest rate.
In cash flow hedges, cross-currency interest rate swaps, single-currency interest rate swaps, foreign currency forwards and foreign currency assets or liabilities are used to manage foreign currency exposure, or a combined foreign currency and interest rate exposure. Cross-currency interest rate swaps are used to offset the foreign currency exposure by exchanging the interest cash flows in one currency for interest cash flows in another currency. Single-currency interest rate swaps may be used in conjunction with cross-currency interest rate swaps to convert the foreign currency exposure or resulting functional currency exposure from floating to fixed. Foreign currency forwards and foreign currency denominated assets and liabilities are used to offset the exposure arising from highly probable future cash flows, including purchase considerations for business acquisitions and sale proceeds for business divestitures that are denominated in a foreign currency. In hedges of both foreign currency and interest rate exposure, the interest rate risk is generally hedged only to the extent of the benchmark interest rate.
In net investment hedges, the Bank designates foreign currency liabilities and foreign currency forwards as hedging instruments to manage foreign currency exposure. The designated non-derivative liabilities are denominated in the functional currency of the net investment, such that the foreign currency translation impact from the net investment will be offset by the foreign currency impact from the designated liabilities. The foreign currency forward contracts are structured to sell the functional currency of the net investment in return for the Bank’s functional currency.
 
Equity risk
Equity risk is created by the Bank’s share-based compensation plans awarded to employees. In cash flow hedges, total return swaps are mainly used to offset the equity exposure by exchanging interest payments for payments based on the returns on the underlying shares.
For all of the risks identified above, the economic relationship and hedge ratio are determined using a qualitative and quantitative assessment. This assessment incorporates comparison of critical terms of the hedged and hedging item, and regression analysis. For regression analysis, a hedging relationship is considered highly effective when all of the following criteria are met: correlation between the variables in the regression is at least 0.8 or greater; slope of the regression is within a 0.8-1.25 range; and confidence level of the slope is at least 95%.The main sources of hedge ineffectiveness include the following:
 
   
The use of different discount curves to value the hedged item and the hedging derivative in fair value hedges, in order to reflect the reduced credit risk of collateralized derivatives;
   
Differences in the underlying reference interest rate tenor, reset/settlement frequency and floating spread between the hedging instruments and the hedged item.
The Bank has elected to continue to apply the hedge accounting requirements of IAS 39. However, the Bank has implemented the additional hedge accounting disclosures that are required by the IFRS 9 related amendments to IFRS 7 “
Financial Instruments: Disclosures
”.
The following table summarizes the notional amounts of derivatives and carrying amounts of cash and deposit liabilities designated as hedging instruments.
 
   
2021
   
2020
 
   
Notional amounts
(1)
   
Notional amounts
(1)
 
   
Remaining term to maturity
         
Remaining term to maturity
       
As at October 31 ($ millions)  
Within one year
   
One to five years
   
Over five years
   
Total
   
Within one year
   
One to five years
   
Over five years
   
Total
 
Fair value hedges
                                                               
Interest rate risk – swaps
 
$
21,850
 
 
$
127,350
 
 
$
14,489
 
 
$
163,689
 
  $ 41,972     $ 115,479     $ 14,873     $ 172,324  
Foreign currency/interest rate risk – swaps
 
 
 
 
 
11
 
 
 
 
 
 
11
 
          116       107       223  
                 
Cash flow hedges
                                                               
Interest rate risk – swaps
 
 
34,489
 
 
 
62,934
 
 
 
28,754
 
 
 
126,177
 
    11,990       33,580       11,920       57,490  
Foreign currency/interest rate risk – swaps
 
 
16,906
 
 
 
23,224
 
 
 
7,645
 
 
 
47,775
 
    17,082       33,516       5,720       56,318  
Foreign currency risk
                                                               
Swaps
 
 
29,002
 
 
 
54,434
 
 
 
14,425
 
 
 
97,861
 
    25,787       61,137       15,166       102,090  
Foreign currency forwards
 
 
10,510
 
 
 
 
 
 
 
 
 
10,510
 
    3,000                   3,000  
Cash
 
 
66
 
 
 
 
 
 
 
 
 
66
 
    71                   71  
Equity risk – total return swaps
 
 
316
 
 
 
649
 
 
 
 
 
 
965
 
    171       411             582  
                 
Net investment hedges
                                                               
Foreign currency risk
                                                               
Foreign currency forwards
 
 
18,132
 
 
 
 
 
 
 
 
 
18,132
 
    16,114                   16,114  
Deposit liabilities
 
 
5,714
 
 
 
 
 
 
 
 
 
5,714
 
    6,150                   6,150  
Total
 
$
  136,985
 
 
$
  268,602
 
 
$
  65,313
 
 
$
  470,900
 
  $   122,337     $   244,239     $   47,786     $   414,362  
 
(1)
Notional amounts relating to derivatives that are hedging multiple risks in both assets and liabilities are included in more than one category.
 
The following table shows the average rate or price of significant hedging instruments.
 
   
2021
   
2020
 
   
Average rate or price
(1)
   
Average rate or price
(1)
 
As at October 31  
Fixed interest rate
   
FX rate
   
Price
   
Fixed interest rate
   
FX rate
   
Price
 
Fair value hedges
                                               
Interest rate risk – swaps
 
 
1.18
 
 
n/a
 
 
 
n/a
 
    1.71     n/a       n/a  
             
Cash flow hedges
                                               
Interest rate risk – swaps
 
 
1.22
 
 
n/a
 
 
 
n/a
 
    2.10     n/a       n/a  
Foreign currency/interest rate risk – swaps
                                               
CAD-USD
 
 
1.33
 
 
1.31
 
 
 
n/a
 
    1.30     1.32       n/a  
Foreign currency risk
                                               
Swaps
                                               
CAD-USD
 
 
n/a
 
 
 
1.27
 
 
 
n/a
 
    n/a       1.31       n/a  
CAD-EUR
 
 
n/a
 
 
 
1.50
 
 
 
n/a
 
    n/a       1.49       n/a  
CAD-GBP
 
 
n/a
 
 
 
1.72
 
 
 
n/a
 
    n/a       1.72       n/a  
Foreign currency forwards
                                               
CAD-USD
 
 
n/a
 
 
 
1.26
 
 
 
n/a
 
    n/a       1.33       n/a  
Equity price risk – total return swaps
 
 
n/a
 
 
 
n/a
 
 
$
71.29
 
    n/a       n/a     $ 75.40  
             
Net investment hedges
                                               
Foreign currency risk – foreign currency forwards
                                               
CAD-USD
 
 
n/a
 
 
 
1.26
 
 
 
n/a
 
    n/a       1.34       n/a  
MXN-CAD
 
 
n/a
 
 
 
16.77
 
 
 
n/a
 
    n/a       16.60       n/a  
PEN-CAD
 
 
n/a
 
 
 
3.08
 
 
 
n/a
 
    n/a       2.64       n/a  
 
(1)
The average rate or price is calculated in aggregate for all of the Bank’s hedge relationships, including hedges of assets and liabilities. The majority of the Bank’s hedges have a remaining term to maturity of less than 5 years.
For fair value hedges, the following table contains information related to items designated as hedging instruments, hedged items and ineffectiveness.
 
   
Carrying amount of the
hedging instruments
(1)
         
Hedge Ineffectiveness
(2)
         
Accumulated amount of fair
value hedge adjustment gains/
(losses) on the hedged
item
(4)
 
For the year ended
October 31, 2021 ($ millions)
 
Assets
   
Liabilities
          
Gains/(losses) on
hedging instrument
used to calculate
hedge
ineffectiveness
   
Gains/
(losses) on
hedged item
used to calculate
hedge
ineffectiveness
   
Ineffectiveness
recorded in
non-interest
income – other
   
Carrying amount
of the hedged
item
(3)
   
Active
hedges
   
Discontinued
hedges
 
Fair value hedges
                         
 
 
 
 
 
 
 
 
 
 
 
                       
Interest rate risk – swaps
 
$
1,868
 
 
$
(967
         
$
1,708
 
 
$
(1,736
 
$
(28
                       
Investment securities
                         
 
790
 
 
 
(809
 
 
(19
 
$
16,315
 
 
$
92
 
 
$
163
 
Loans
                         
 
2,233
 
 
 
(2,230
 
 
3
 
 
 
  117,009
 
 
 
  (1,339
 
 
5
 
Deposit liabilities
                         
 
(1,236
 
 
1,224
 
 
 
(12
 
 
(60,444
 
 
417
 
 
 
(371
)
Subordinated debentures
                         
 
(79
 
 
79
 
 
 
 
 
 
(4,692
 
 
(1
 
 
(71
                   
Foreign currency/interest
                                                                       
rate risk – swaps
 
 
 
 
 
(1
         
 
3
 
 
 
(2
 
 
1
 
                       
Investment securities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
3
 
 
 
(2
 
 
1
 
 
 
89
 
 
 
 
 
 
(1
Total
 
$
  1,868
 
 
$
  (968
 
 
 
 
 
$
  1,711
 
 
$
  (1,738
 
$
  (27
 
$
  68,277
 
 
$
(831
 
$
  (275
 
(1)
Comprises unrealized gains/losses and are recorded within derivative financial instruments in assets and liabilities, respectively in the Consolidated Statement of Financial Position.
(2)
Includes ineffectiveness related to hedges discontinued during the year ended October 31, 2021.
(3)
This represents the carrying value on the Consolidated Statement of Financial Position and comprises amortized cost before allowance for credit losses, plus fair value hedge adjustment, except for investment securities which are carried at fair value.
(4)
This represents the accumulated fair value hedge adjustment and is a component of the carrying amount of the hedged item.
 
 
   
Carrying amount of
the hedging
instruments
(1)
         
Hedge Ineffectiveness
(2)
         
Accumulated amount of fair
value hedge adjustment gains/
(losses) on the hedged
item
(4)
 
For the year ended
October 31, 2020 ($ millions)
 
Assets
   
Liabilities
          
Gains/(losses) on
hedging instrument
used to calculate
hedge
ineffectiveness
   
Gains/
(losses) on
hedged item
used to calculate
hedge
ineffectiveness
   
Ineffectiveness
recorded in
non-interest
income – other
   
Carrying
amount of
the hedged
item
(3)
   
Active
hedges
   
Discontinued
hedges
 
Fair value hedges
                         
 
 
 
 
 
 
 
 
 
 
 
                       
Interest rate risk – swaps
  $ 1,742     $ (2,456           $ (392   $ 377     $ (15                        
Investment securities
                            (622     610       (12   $ 40,785     $ 1,049     $    249  
Loans
                            (913     898       (15     71,081       994       48  
Deposit liabilities
                               996       (985        11       (59,084     (846     (545
Subordinated debentures
                            147       (146     1       (5,638     (93     (77
                   
Foreign currency/interest
                                                                       
rate risk – swaps
    22       (1             (1           (1                        
Investment securities
 
 
 
 
 
 
 
 
 
 
 
 
    (1           (1     221       1        
Total
  $   1,764       $  (2,457  
 
 
 
  $ (393   $    377     $ (16   $   47,365     $   1,105     $ (325
 
(1)
Comprises unrealized gains/losses and are recorded within derivative financial instruments in assets and liabilities, respectively in the Consolidated Statement of Financial Position.
(2)
Includes ineffectiveness related to hedges discontinued during the year ended October 31, 2020.
(3)
This represents the carrying value on the Consolidated Statement of Financial Position and comprises amortized cost before allowance for credit losses, plus fair value hedge adjustment, except for investment securities which are carried at fair value.
(4)
This represents the accumulated fair value hedge adjustment and is a component of the carrying amount of the hedged item.
For cash flow hedges and net investment hedges, the following table contains information related to items designated as hedging instruments, hedged items and ineffectiveness.
 
   
Carrying amount of the hedging
instruments
(1)
         
Hedge Ineffectiveness
(2)
 
For the year ended October 31, 2021 ($ millions)  
Assets
   
Liabilities
          
Gains/(losses) on
hedging instrument
used to calculate
hedge ineffectiveness
   
Gains/(losses) on
hypothetical
derivative used to
calculate hedge
ineffectiveness
(3)
   
Ineffectiveness
recorded in non-interest

income – other
(4)
 
Cash flow hedges
                                               
Interest rate risk – swaps
 
$
1,204
 
 
$
(2,818)
 
         
$
(1,004
 
$
  (1,017
 
$
16
 
Foreign currency/interest rate risk – swaps
 
 
2,428
 
 
 
(180
         
 
1,352
 
 
 
1,378
 
 
 
(5
Foreign currency risk
                                               
Swaps
 
 
921
 
 
 
(2,298
         
 
(1,969
 
 
(1,973
 
 
1
 
Foreign currency forwards
 
 
25
 
 
 
(155
         
 
72
 
 
 
69
 
 
 
5
 
Cash
 
 
66
 
 
 
 
         
 
(2
 
 
(2
 
 
 
Equity risk – total return swaps
 
 
41
 
 
 
(1
 
 
 
 
 
 
330
 
 
 
330
 
 
 
 
   
 
4,685
 
 
 
(5,452
 
 
 
 
 
 
(1,221
 
 
(1,215
 
 
17
 
Net investment hedges
                                               
Foreign currency risk
                                               
Foreign currency forwards
 
 
436
 
 
 
(81
         
 
841
 
 
 
841
 
 
 
 
Deposit liabilities
 
 
  n/a
 
 
 
(5,714
 
 
 
 
 
 
435
 
 
 
435
 
 
 
 
   
 
436
 
 
 
(5,795
 
 
 
 
 
 
1,276
 
 
 
1,276
 
 
 
 
Total
 
$
  5,121
 
 
$
  (11,247
 
 
 
 
 
$
  55
   
$
  61
 
 
$
  17
 
 
(1)
Comprises unrealized gains/losses for derivative instruments and are recorded within derivative financial instruments in assets and liabilities, respectively in the Consolidated Statement of Financial Position.
(2)
Includes ineffectiveness related to hedges discontinued during the year ended October 31, 2021.
(3)
For cash flow hedges, hypothetical derivatives having critical terms which match those of the underlying hedged item are used to assess hedge ineffectiveness.
(4)
For cash flow hedges, ineffectiveness is only recognized in the Consolidated Statement of Income when the life-to-date cumulative change in the hedging instrument exceeds the cumulative change in the hypothetical derivative.
 
 
   
Carrying amount of the
hedging instruments
(1)
         
Hedge Ineffectiveness
(2)
 
For the year ended October 31, 2020 ($ millions)  
Assets
   
Liabilities
          
Gains/(losses)
on hedging instrument
used to calculate
hedge ineffectiveness
   
Gains/(losses) on
hypothetical
derivative used to
calculate hedge
ineffectiveness
(3)
   
Ineffectiveness
recorded in non-interest
income – other
(4)
 
Cash flow hedges
                                               
Interest rate risk – swaps
  $ 684     $ (1,575           $ 62     $ 58     $ (2
Foreign currency/interest rate risk – swaps
    1,347       (570             896       908         13  
Foreign currency risk
                                               
Swaps
    1,770       (1,385             1,298       1,276       (2
Foreign currency forwards
    17       (12             464       464       (1
Cash
    71                     4       4        
Equity risk – total return swaps
    8       (2  
 
 
 
    (173     (173      
      3,897       (3,544  
 
 
 
    2,551       2,537       8  
Net investment hedges
                                               
Foreign currency risk
                                               
Foreign currency forwards
    181       (208             (77     (77      
Deposit liabilities
    n/a       (6,150  
 
 
 
    (70     (70      
      181       (6,358  
 
 
 
    (147     (147      
Total
  $   4,078       $  (9,902  
 
 
 
    $  2,404       $  2,390     $ 8  
 
(1)
Comprises unrealized gains/losses for derivative instruments and are recorded within derivative financial instruments in assets and liabilities, respectively in the Consolidated Statement of Financial Position.
(2)
Includes ineffectiveness related to hedges discontinued during the year ended October 31, 2020.
(3)
For cash flow hedges, hypothetical derivatives having critical terms which match those of the underlying hedged item are used to assess hedge ineffectiveness.
(4)
For cash flow hedges, ineffectiveness is only recognized in the Consolidated Statement of Income when the life-to-date cumulative change in the hedging instrument exceeds the cumulative change in the hypothetical derivative.
For cash flow hedges and net investment hedges, the following table contains information regarding the impacts on the Consolidated Statement of Other Comprehensive Income on a pre-tax basis.
 
   
AOCI as at
November 1,
2020
   
Net gains/
(losses)
recognized in
OCI
   
Amount
reclassified
to net
income as
the hedged
item affects
net income
(1)
   
Amount
reclassified to
net income
for hedges of
forecasted
transactions
that are no
longer
expected to
occur
(1)
   
Net gains/
(losses)
included in
non-financial

asset/liability
as a result of a
hedged
forecasted
transaction
   
AOCI as at
October 31,
2021
   
Balance in cash flow hedge
reserve/unrealized foreign
currency translation account
as at October 31, 2021
 
For the year ended
October 31, 2021 ($ millions)
 
Active
hedges
   
Discontinued
hedges
 
Cash flow hedges
                                                               
Interest rate risk
 
$
412
 
 
$
(1,033
 
$
165
 
 
$
 
 
$
 
 
$
(456
 
$
(991
 
$
535
 
Foreign currency/interest rate risk
 
 
    1,054
 
 
 
    1,434
 
 
 
  (2,497
 
 
 
 
 
 
 
 
(9
 
 
(192
 
 
183
 
Foreign currency risk
 
 
(706
 
 
(1,998
 
 
2,747
 
 
 
 
 
 
 
 
 
43
 
 
 
31
 
 
 
12
 
Equity risk
 
 
(30
 
 
330
 
 
 
(239
 
 
 
 
 
 
 
 
61
 
 
 
61
 
 
 
 
   
 
730
 
 
 
(1,267
 
 
176
 
 
 
 
 
 
 
 
 
(361
 
 
(1,091
 
 
730
 
Net investment hedges
                                                               
Foreign currency risk
 
 
(3,136
 
 
1,276
 
 
 
31
 
 
 
 
 
 
 
 
 
(1,829
 
 
(1,726
 
 
(103
Total
 
$
(2,406
 
$
  9
 
 
$
  207
 
 
$
  –
 
 
$
  –
 
 
$
  (2,190
 
$
  (2,817
 
$
    627
 
 
(1)
Amounts reclassified from the cash flow hedge and net investment hedge reserves to net income are recorded in non-interest income-other except for amortization, which is recorded in interest income.
 
   
AOCI as at
November 1,
2019
   
Net gains/
(losses)
recognized in
OCI
   
Amount
reclassified
to net
income as
the hedged
item affects
net income
(1)
   
Amount
reclassified to
net income for
hedges of
forecasted
transactions
that are no
longer
expected to
occur
(1)
   
Net gains/
(losses)
included in
non-financial

asset/liability
as a result of a
hedged
forecasted
transaction
   
AOCI as at
October 31,
2020
   
Balance in cash flow hedge
reserve/unrealized foreign
currency translation account
as at October 31, 2020
 
For the year ended
October 31, 2020 ($ millions)
 
Active
hedges
   
Discontinued
hedges
 
Cash flow hedges
                                                               
Interest rate risk
  $ 463     $ 64     $ (115   $   –     $   –     $ 412     $ (457   $ 869  
Foreign currency/interest rate risk
    208       883       (37                 1,054       875       179  
Foreign currency risk
    99       1,769       (2,574                 (706     (708     2  
Equity risk
    21       (173     122                   (30     (30      
      791       2,543       (2,604                 730       (320     1,050  
Net investment hedges
                                                               
Foreign currency risk
    (3,483     (147     494                   (3,136     (3,067     (69
Total
  $ (2,692   $ 2,396     $ (2,110   $     $     $ (2,406   $ (3,387   $ 981  
 
(1)
Amounts reclassified from the cash flow hedge and net investment hedge reserves to net income are recorded in non-interest income-other.