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Commitments and Contingencies (Tables)
12 Months Ended
Dec. 31, 2020
Commitments and Contingencies Disclosure [Abstract]  
Summary of estimated coal take-or-pay commitments
The following table summarizes our estimated coal take-or-pay commitments (dollars in thousands):
 
  Years Ended December 31,
 20212022202320242025Thereafter
Coal take-or-pay commitments (a)$182,569 $183,604 $184,540 $186,804 $177,114 $1,024,854 
 
(a)Total take-or-pay commitments are approximately $1.9 billion.  The total net present value of these commitments is approximately $1.5 billion.
Summary of actual take-or-pay commitments The following table summarizes actual amounts purchased under the coal contracts which include take-or-pay provisions for each of the last three years (dollars in thousands):
 
 Year Ended December 31,
 202020192018
Total purchases$189,817 $204,888 $206,093