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Condensed Consolidating Guarantor and Non-Guarantor Financial Information - Statement of Cash Flows (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 31, 2017
Oct. 31, 2016
Oct. 31, 2015
Finance and other receivables, net $ 2,189 $ 1,969  
Net cash provided by (used in) operating activities 109 267 $ 46
Net change in restricted cash and cash equivalents (22) 5 42
Net purchases of marketable securities (324) 113 446
Capital expenditures and purchase of equipment leased to others (239) (248) (198)
Other investing activities 43 63 26
Net cash provided by (used in) investing activities (542) (67) 316
Net borrowings (repayments) of debt 49 (342) 115
Other financing activities 44 (11) (17)
Net cash provided by (used in) financing activities 338 (353) 98
Effect of exchange rate changes on cash and cash equivalents (3) 45 (45)
Cash and Cash Equivalents, Period Increase (Decrease) (98) (108) 415
Cash and cash equivalents at beginning of the year 804 912 497
Cash and cash equivalents at end of the year 706 804 912
Consolidation, Eliminations [Member]      
Finance and other receivables, net (90) (84)  
Net cash provided by (used in) operating activities 639 (151) (393)
Net change in restricted cash and cash equivalents 0 0 0
Net purchases of marketable securities 0 0 0
Capital expenditures and purchase of equipment leased to others 0 0 0
Other investing activities 255 0 0
Net cash provided by (used in) investing activities 255 0 0
Net borrowings (repayments) of debt (642) (69) 268
Other financing activities 3 220 125
Net cash provided by (used in) financing activities (894) 151 393
Effect of exchange rate changes on cash and cash equivalents 0 0 0
Cash and Cash Equivalents, Period Increase (Decrease) 0 0 0
Cash and cash equivalents at beginning of the year 0 0 0
Cash and cash equivalents at end of the year 0 0 0
Parent Company [Member]      
Finance and other receivables, net 1 (1)  
Net cash provided by (used in) operating activities (244) (106) 87
Net change in restricted cash and cash equivalents 0 0 3
Net purchases of marketable securities (311) 85 266
Capital expenditures and purchase of equipment leased to others 0 0 0
Other investing activities (250) 0 0
Net cash provided by (used in) investing activities (561) 85 269
Net borrowings (repayments) of debt 539 0 (2)
Other financing activities 11 0 1
Net cash provided by (used in) financing activities 795 0 (1)
Effect of exchange rate changes on cash and cash equivalents 0 0 0
Cash and Cash Equivalents, Period Increase (Decrease) (10) (21) 355
Cash and cash equivalents at beginning of the year 435 456 101
Cash and cash equivalents at end of the year 425 435 456
Guarantor Subsidiaries [Member]      
Finance and other receivables, net 223 171  
Net cash provided by (used in) operating activities (247) 187 184
Net change in restricted cash and cash equivalents (2) 1 (4)
Net purchases of marketable securities 0 0 0
Capital expenditures and purchase of equipment leased to others (156) (94) (82)
Other investing activities 2 2 3
Net cash provided by (used in) investing activities (156) (91) (83)
Net borrowings (repayments) of debt 320 (82) (38)
Other financing activities 59 22 (35)
Net cash provided by (used in) financing activities 379 (60) (73)
Effect of exchange rate changes on cash and cash equivalents 0 0 0
Cash and Cash Equivalents, Period Increase (Decrease) (24) 36 28
Cash and cash equivalents at beginning of the year 117 81 53
Cash and cash equivalents at end of the year 93 117 81
Non-Guarantor Subsidiaries [Member]      
Finance and other receivables, net 2,055 1,883  
Net cash provided by (used in) operating activities (39) 337 168
Net change in restricted cash and cash equivalents (20) 4 43
Net purchases of marketable securities (13) 28 180
Capital expenditures and purchase of equipment leased to others (83) (154) (116)
Other investing activities 36 61 23
Net cash provided by (used in) investing activities (80) (61) 130
Net borrowings (repayments) of debt (168) (191) (113)
Other financing activities (29) (253) (108)
Net cash provided by (used in) financing activities 58 (444) (221)
Effect of exchange rate changes on cash and cash equivalents (3) 45 (45)
Cash and Cash Equivalents, Period Increase (Decrease) (64) (123) 32
Cash and cash equivalents at beginning of the year 252 375 343
Cash and cash equivalents at end of the year $ 188 $ 252 $ 375