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Stock options (Tables) | 12 Months Ended
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Oct. 31, 2019
Stock options |
Computation of Weighted Average Fair Value of Employee Stock Options using Black-Scholes Option Pricing Model Assumptions | The fair value of each option granted in 2019 and 2018 was estimated on the grant date using the Black-Scholes option pricing model with the following assumptions:
|  | 2019 |  | 2018 |
Weighted average volatility |  |  | 55.42 | % |  | 46.83 | %
Expected dividends |  |  | 0.98 | % |  | 3.28 | %
Expected term (in years) |  |  | 5.9 |  |  | 4.5 |
Risk-free interest rate |  |  | 2.86 | % |  | 1.87 | %
Weighted average fair value of options granted during the year |  | $ | 3.98 |  | $ | 0.82 |
Weighted average fair value of options vested during the year |  | $ | 6.03 |  | $ | 2.64 |
Summary of Status of Options Granted under Stock Option Plans and Changes in Options Outstanding | Additional information regarding all of the Company’s outstanding stock options at October 31, 2019 and 2018 and changes in outstanding stock options in 2019 and 2018 follows:
|  | 2019 |  | 2018
|  | Shares or |  | Weighted |  | Shares or |  | Weighted
|  | Price Per |  | Average |  | Price Per |  | Average
|  | Share |  | Exercise Price |  | Share |  | Exercise Price
Outstanding at beginning of year |  |  | 942,366 |  | $ | 3.09 |  |  | 1,159,771 |  | $ | 3.19
Options granted |  |  | 124,097 |  | $ | 8.16 |  |  | 269,635 |  | $ | 2.44
Options exercised |  |  | (171,066) |  | $ | 3.86 |  |  | (418,955) |  | $ | 2.66
Options canceled or expired |  |  | (5,250) |  | $ | 6.82 |  |  | (68,085) |  | $ | 4.98
Options outstanding at end of year |  |  | 890,147 |  | $ | 3.62 |  |  | 942,366 |  | $ | 3.09
Options exercisable at end of year |  |  | 599,981 |  | $ | 3.25 |  |  | 675,033 |  | $ | 3.01
Options vested and expected to vest at end of year |  |  | 889,088 |  | $ | 3.63 |  |  | 940,144 |  | $ | 3.09
Option price range at end of year |  |  | $1.90 - $8.69 |  |  | — |  |  | $1.90 - $5.88 |  |  |
Aggregate intrinsic value of options exercised during year |  | $ | 317,827 |  |  | — |  | $ | 1,207,148 |  |  |

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- Definition Disclosure - Computation of Weighted Average Fair Value of Employee Stock Options using Black-Scholes Option Pricing Model Assumptions [Abstract] + References No definition available. + Details
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- Definition Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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