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Deferred Acquisition Costs (Tables) | 12 Months Ended
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Dec. 31, 2019
Deferred Acquisition Costs |
Schedule of deferred acquisition costs | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31,
​ |  | 2018 |  | 2019
Deferred Acquisition Costs | ​ | ​ |  | ​ | ​ |
Balance, beginning of year | ​ | $ | 0.1 | ​ | $ | 0.6
Add: | ​ |  |  | ​ |  |
Premium taxes | ​ |  | 1.2 | ​ |  | 3.2
Direct commissions | ​ |  | — | ​ |  | 0.1
Less: | ​ |  |  | ​ |  |
Amortization of net deferred acquisition costs | ​ |  | (0.7) | ​ |  | (2.1)
Balance, end of year | ​ | $ | 0.6 | ​ | $ | 1.8
Other Insurance Expense | ​ |  |  | ​ |  |
Amortization of net deferred acquisition costs | ​ | $ | 0.7 | ​ | $ | 2.1
Period costs | ​ |  | 3.5 | ​ |  | 7.5
Total other insurance expense | ​ | $ | 4.2 | ​ | $ | 9.6

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