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Long-term Debt (Details) - USD ($)
3 Months Ended 9 Months Ended
Oct. 13, 2020
Jul. 14, 2020
Apr. 29, 2020
Apr. 21, 2020
Jun. 30, 2020
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2020
Mar. 31, 2020
Mar. 31, 2015
Debt obligations                    
Total debt obligations               $ 615,043,051 $ 646,128,204  
Less: deferred financing fees         $ 11,152,985 $ 11,152,985   11,119,724 11,152,985  
Total               603,923,327 634,975,219  
Presented as follows:                    
Current portion of long-term debt               51,820,283 53,056,125  
Long-term debt-net of current portion and deferred financing fees               552,103,044 581,919,094  
Total               603,923,327 634,975,219  
Deferred financing fees                    
Deferred finance fees, beginning         11,152,985 11,152,985        
Additions           3,972,004        
Amortization           (4,005,265) $ (2,199,487)      
Deferred finance fees, end           $ 11,119,724        
2015 Facility                    
Long-Term Debt                    
Original loan amount                   $ 758,000,000
Debt obligations                    
Total debt obligations               393,989,622 446,586,121  
Commercial Financing                    
Debt obligations                    
Total debt obligations               155,355,698 163,385,998  
KEXIM Direct Financing                    
Debt obligations                    
Total debt obligations               93,017,799 110,716,127  
KEXIM Guaranteed                    
Debt obligations                    
Total debt obligations               97,502,342 115,385,072  
K-sure Insured                    
Debt obligations                    
Total debt obligations               48,113,783 57,098,924  
Japanese Financings                    
Debt obligations                    
Total debt obligations               221,053,429 199,542,083  
Corsair Japanese Financing                    
Debt obligations                    
Total debt obligations               41,708,333 44,145,833  
Concorde Japanese Financing                    
Debt obligations                    
Total debt obligations               46,307,692 48,730,769  
Corvette Japanese Financing                    
Debt obligations                    
Total debt obligations               46,846,154 49,269,231  
CJNP Japanese Financing                    
Debt obligations                    
Total debt obligations                 19,058,750  
CMNL Japanese Financing                    
Debt obligations                    
Total debt obligations               17,049,256 18,076,488  
CNML Japanese Financing                    
Debt obligations                    
Total debt obligations               19,206,994 $ 20,261,012  
Cresques Japanese Financing                    
Long-Term Debt                    
Monthly brokerage commission (as a percent)       1.25%            
Percentage of broker commission fee payable       0.50%            
Principal payment frequency       monthly            
Periodic principal payment amount       $ 300,000            
Balloon payment amount       $ 11,500,000            
Debt obligations                    
Total debt obligations               $ 49,935,000    
Refinancing Of Commercial Tranche Of 2015 Facility                    
Long-Term Debt                    
Additional basis points to decrease the margin     0.10%              
Basis points receivable as increase or reduction for changes in Average Efficiency Ratio     0.10%              
Security leverage ratio     40.00%              
New senior secured term loan facility                    
Long-Term Debt                    
Original loan amount     $ 155,800,000              
2015 AR Facility                    
Long-Term Debt                    
Minimum stockholder's equity balance   $ 400,000,000                
Minimum liquidity covenant   27,500,000     40,000,000          
Minimum cash per mortgaged vessel from first anniversary through thereafter   $ 1,000,000.0     $ 2,200,000          
Percentage of increase in security value ratio   145.00%     135.00%          
Minimum | Refinancing Of Commercial Tranche Of 2015 Facility                    
Long-Term Debt                    
Additional basis points to increase the margin     0.10%              
Maximum | Refinancing Of Commercial Tranche Of 2015 Facility                    
Long-Term Debt                    
Security leverage ratio     60.00%              
Maximum | New senior secured revolving credit facility                    
Long-Term Debt                    
Original loan amount     $ 25,000,000.0              
LIBOR | Cresques Japanese Financing                    
Long-Term Debt                    
Margin added to LIBOR for interest rate on loan facility (as a percent)       2.50%            
LIBOR | Refinancing Of Commercial Tranche Of 2015 Facility                    
Long-Term Debt                    
Margin added to LIBOR for interest rate on loan facility (as a percent)     2.50%              
CJNP LPG Transport LLC | CJNP Japanese Financing                    
Long-Term Debt                    
Vessel purchase price $ 18,300,000                  
Deposit retained by buyer $ 26,600,000                  
Dorian Dubai LPG Transport LLC (Cresques)                    
Long-Term Debt                    
Value of vessel transferred       $ 71,500,000            
Term of Charter Agreement       12 years            
Period until purchase option exercisable       3 years            
Proceeds from sale of vessel       $ 52,500,000            
Deposit retained by buyer       19,000,000.0            
Repayment of debt       $ 28,500,000