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Pay vs Performance Disclosure | 12 Months Ended
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Dec. 31, 2022 USD ($) | Dec. 31, 2021 USD ($) | Dec. 31, 2020 USD ($)
Pay vs Performance Disclosure [Table] |  |  |
Pay vs Performance [Table Text Block] | ​ ​ ​ The table below illustrates “Pay Versus Performance” as described in Item 402(v) of Regulation S-K of the Exchange Act, and compares, for each year listed below, the total compensation of our Principal Executive Officer (who is our Chief Executive Officer, “PEO”) and the average total compensation of our Named Executive Officers (“NEOs”) as set forth above in “Summary Compensation Table” and the compensation “actually paid” to such officers, utilizing the adjustments described in footnote (1) below. In addition, the table sets forth the cumulative total shareholder return (“TSR”) of the Company for the applicable period, as well as a comparison to a select “peer group” of companies. Pay Versus Performance Table
Year | ​ | ​ | Summary Compensation Table Total for PEO | ​ | ​ | Compensation Actually Paid to PEO | ​ | ​ | Average Summary Compensation Table Total for Non-PEO NEOs | ​ | ​ | Average Compensation Actually Paid to Non-PEO NEOs | ​ | ​ | Value of Initial Fixed $100 Investment Based On: | ​ | ​ | Net Income | ​ | ​ | Total Revenue | ​
​ | Total S/H Return | ​ | ​ | Peer Group Total S/H Return | ​
(a) | ​ | ​ | (b) | ​ | ​ | (c) | ​ | ​ | (d) | ​ | ​ | (e) | ​ | ​ | (f) | ​ | ​ | (g) | ​ | ​ | (h) | ​ | ​ | (i) | ​
2022 | ​ | ​ | ​ | $ | 8,337,803 | ​ | ​ | ​ | ​ | $ | 7,320,256 | ​ | ​ | ​ | ​ | $ | 1,847,292 | ​ | ​ | ​ | ​ | $ | 1,584,637 | ​ | ​ | ​ | ​ | $ | 160 | ​ | ​ | ​ | ​ | $ | 141 | ​ | ​ | ​ | ​ | $ | 32,110,000 | ​ | ​ | ​ | ​ | $ | 1,110,941,000 | ​ | ​
2021 | ​ | ​ | ​ | $ | 11,030,203 | ​ | ​ | ​ | ​ | $ | 15,757,927 | ​ | ​ | ​ | ​ | $ | 4,742,450 | ​ | ​ | ​ | ​ | $ | 5,161,976 | ​ | ​ | ​ | ​ | $ | 179 | ​ | ​ | ​ | ​ | $ | 161 | ​ | ​ | ​ | ​ | $ | 158,964,000 | ​ | ​ | ​ | ​ | $ | 1,394,035,000 | ​ | ​
2020 | ​ | ​ | ​ | $ | 9,354,240 | ​ | ​ | ​ | ​ | $ | 10,120,442 | ​ | ​ | ​ | ​ | $ | 3,223,373 | ​ | ​ | ​ | ​ | $ | 3,322,821 | ​ | ​ | ​ | ​ | $ | 123 | ​ | ​ | ​ | ​ | $ | 120 | ​ | ​ | ​ | ​ | $ | 122,986,000 | ​ | ​ | ​ | ​ | $ | 1,198,667,000 | ​ | ​
(1) Amounts represent total compensation paid subject to adjustments for each fiscal year to the amounts listed under the “Stock Awards” section of the “Summary Compensation Table” to include (x) the fair value of share-based awards granted in the covered and prior fiscal years that are outstanding and unvested at the end of the covered fiscal year; (y) the full value of awards granted in prior fiscal years that vest in the covered fiscal year; and (z) the full value of awards that are forfeited in the covered fiscal year. |  |
Company Selected Measure Name | Total Revenue |  |
Named Executive Officers, Footnote [Text Block] | Our executive officers consist of Mr. A.G. Lowenthal, our Chairman and Chief Executive Officer, and Mr. R.S. Lowenthal, our President, each of whose background is described above, and Mr. Watkins, our Chief Financial Officer and principal financial and accounting officer, whose background is described below. Mr. Watkins joined the Company on August 1, 2022. |  |
PEO Total Compensation Amount | $ 8,337,803 | $ 11,030,203 | $ 9,354,240
PEO Actually Paid Compensation Amount | 7,320,256 | 15,757,927 | 10,120,442
Non-PEO NEO Average Total Compensation Amount | 1,847,292 | 4,742,450 | 3,223,373
Non-PEO NEO Average Compensation Actually Paid Amount | $ 1,584,637 | 5,161,976 | 3,322,821
Equity Valuation Assumption Difference, Footnote [Text Block] | (1) Amounts represent total compensation paid subject to adjustments for each fiscal year to the amounts listed under the “Stock Awards” section of the “Summary Compensation Table” to include (x) the fair value of share-based awards granted in the covered and prior fiscal years that are outstanding and unvested at the end of the covered fiscal year; (y) the full value of awards granted in prior fiscal years that vest in the covered fiscal year; and (z) the full value of awards that are forfeited in the covered fiscal year. |  |
Compensation Actually Paid vs. Total Shareholder Return [Text Block] |  |  |
Compensation Actually Paid vs. Net Income [Text Block] |  |  |
Compensation Actually Paid vs. Company Selected Measure [Text Block] |  |  |
Tabular List [Table Text Block] | The Compensation Committee, in consultation with the Chief Executive Officer, developed various performance criteria related to incentive compensation for the Named Executive Officers, as further discussed in the “Determination of 2022 Compensation” section. When applying this criteria, it utilized the following financial performance measures as the most important measures to link performance of the Company to the compensation actually paid to the Named Executive Officers, including the compensation paid to the Chief Executive Officer, for fiscal year 2022: • Total shareholder return; ​ • Net income; and ​ • Total revenue. |  |
Total Shareholder Return Amount | $ 160 | 179 | 123
Peer Group Total Shareholder Return Amount | 141 | 161 | 120
Net Income (Loss) | $ 32,110,000 | $ 158,964,000 | $ 122,986,000
Company Selected Measure Amount | 1,110,941,000 | 1,394,035,000 | 1,198,667,000
PEO Name | Mr. A.G. Lowenthal |  |
Measure [Axis]: 1 |  |  |
Pay vs Performance Disclosure [Table] |  |  |
Measure Name | Total shareholder return |  |
Measure [Axis]: 2 |  |  |
Pay vs Performance Disclosure [Table] |  |  |
Measure Name | Net income |  |
Measure [Axis]: 3 |  |  |
Pay vs Performance Disclosure [Table] |  |  |
Measure Name | Total revenue |  |

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