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Debt (Details) - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended 19 Months Ended
Oct. 31, 2025
Sep. 30, 2025
Aug. 12, 2025
May 31, 2025
Feb. 28, 2025
Oct. 31, 2024
Sep. 30, 2025
Jun. 30, 2025
Mar. 31, 2025
Sep. 30, 2024
Mar. 31, 2024
Sep. 30, 2023
Sep. 30, 2025
Sep. 30, 2024
Jun. 30, 2025
Jan. 31, 2025
Dec. 31, 2024
Nov. 09, 2023
May 01, 2023
Debt Instrument [Line Items]                                      
Debt   $ 203,898,000         $ 203,898,000           $ 203,898,000       $ 194,853,000    
Unamortized debt issuance costs   1,800,000         1,800,000           1,800,000       1,800,000    
Interest costs incurred             3,800,000     $ 4,000,000.0     11,500,000 $ 11,900,000          
Common Stock, Dividends, Per Share, Declared                       $ 4.67              
Dividends, Common Stock, Cash                       $ 40,000,000              
Dividends Payable   18,000         18,000           18,000       300,000    
Share Repurchase Program, Authorized, Amount   25,000,000.0         25,000,000.0           $ 25,000,000.0         $ 5,000,000  
Stock Repurchased During Period, Shares                         100,967   180,899        
Stock Repurchased During Period, Value             1,447,000 $ 116,000 $ 410,000   $ 22,000   $ 2,000,000.0   $ 3,900,000        
Treasury Stock Acquired, Average Cost Per Share                         $ 19.50   $ 21.59        
Share Repurchase Program, Remaining Authorized, Amount   21,100,000         21,100,000           $ 21,100,000            
Noncontrolling interest distributions               $ (856,000)                      
Interest Costs Capitalized             (3,100,000)           $ (10,400,000)            
Noncontrolling Interest [Member]                                      
Debt Instrument [Line Items]                                      
Noncontrolling interest distributions                 $ (856,000)                    
Saint June, L.P. | Stratus Properties Inc                                      
Debt Instrument [Line Items]                                      
Basis spread on variable rate                         5.00%            
Saint June, L.P. | Stratus Properties Inc | Subsequent event                                      
Debt Instrument [Line Items]                                      
Distribution Made to Limited Partner, Cash Distributions Paid $ 225,000                                    
Saint June, L.P. | Unrelated Equity Investor | Subsequent event                                      
Debt Instrument [Line Items]                                      
Distribution Made to Limited Partner, Cash Distributions Paid 435,000                                    
Comerica Bank revolving credit facility a                                      
Debt Instrument [Line Items]                                      
Debt   0         0           $ 0       0    
Comerica Bank revolving credit facility a | Letter of Credit                                      
Debt Instrument [Line Items]                                      
Line of Credit Facility, Maximum Borrowing Capacity                               $ 15,600,000     $ 13,300,000
Letters of credit committed   11,600,000         11,600,000           11,600,000            
Line of Credit Facility, Increase (Decrease), Other, Net       $ 4,000,000.0 $ 2,300,000                            
Comerica Bank revolving credit facility a | Letter of Credit | Lakeway                                      
Debt Instrument [Line Items]                                      
Letters of credit committed   2,300,000         2,300,000           2,300,000            
Comerica Bank revolving credit facility a | Letter of Credit | Holden Hills                                      
Debt Instrument [Line Items]                                      
Letters of credit committed   9,000,000.0         9,000,000.0           9,000,000.0            
Comerica Bank revolving credit facility a | Revolving Credit Facility                                      
Debt Instrument [Line Items]                                      
Line of Credit Facility, Maximum Borrowing Capacity   55,000,000.0         55,000,000.0           55,000,000.0            
Credit facility, available borrowing capacity   17,500,000         17,500,000           17,500,000            
Debt Instrument, Debt Covenant, Consent for Common Stock Repurchases, Amount   1,000,000         1,000,000           1,000,000            
Line of Credit Facility, Current Borrowing Capacity   29,100,000         $ 29,100,000           $ 29,100,000            
Line of Credit Facility, Borrowing Capacity, Description                         In June 2025, the Holden Hills Phase 2 property was removed from the borrowing base for the revolving credit facility, in anticipation of a potential separate revolving credit facility for the property, and the maximum amount that could be borrowed was reduced. Also, in June 2025, after the Amarra Villas credit facility was fully repaid and terminated, the remaining three Amarra Villas homes were added to the borrowing base for the Comerica Bank revolving credit facility. The net effect of these changes was a decrease of $24.8 million to the maximum amount that could be borrowed at that time            
Line of Credit Facility, Increase (Decrease), Net                         $ 24,800,000            
Comerica Bank revolving credit facility a | Revolving Credit Facility | Subsequent event                                      
Debt Instrument [Line Items]                                      
Line of Credit Facility, Maximum Borrowing Capacity $ 35,000,000.0                                    
Comerica Bank revolving credit facility a | Revolving Credit Facility | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate                                      
Debt Instrument [Line Items]                                      
Basis spread on variable rate             3.00%                        
Comerica Bank revolving credit facility a | Revolving Credit Facility | One-Month SOFR                                      
Debt Instrument [Line Items]                                      
Basis spread on variable rate             0.10%                        
Debt Instrument, Interest Rate Floor             (0.50%)                        
Kingwood Place Loan                                      
Debt Instrument [Line Items]                                      
Debt   32,550,000         $ 32,550,000           32,550,000       32,408,000    
Lantana Place Loan                                      
Debt Instrument [Line Items]                                      
Debt   29,451,000         $ 29,451,000           29,451,000       25,509,000    
Lantana Place Loan | Broadway National Bank                                      
Debt Instrument [Line Items]                                      
Debt Instrument, Covenant, Debt Service Coverage Ratio             1.30                        
Debt principal   29,800,000         $ 29,800,000           29,800,000            
Lantana Place Loan | Broadway National Bank | Stratus Properties Inc                                      
Debt Instrument [Line Items]                                      
Proceeds from Issuance of Debt             $ 3,000,000.0                        
Lantana Place Loan | One-Month SOFR | Broadway National Bank                                      
Debt Instrument [Line Items]                                      
Basis spread on variable rate             2.35%                        
Debt Instrument, Interest Rate Floor             0.00%                        
Jones Crossing Loan                                      
Debt Instrument [Line Items]                                      
Debt   23,624,000         $ 23,624,000           23,624,000       22,428,000    
Jones Crossing Loan | Brighthouse Life Insurance Company                                      
Debt Instrument [Line Items]                                      
Debt   24,000,000.0         24,000,000.0           24,000,000.0            
Jones Crossing Loan | Brighthouse Life Insurance Company | Stratus Properties Inc                                      
Debt Instrument [Line Items]                                      
Proceeds from Issuance of Debt             $ 1,200,000                        
Jones Crossing Loan | One-Month SOFR | Brighthouse Life Insurance Company                                      
Debt Instrument [Line Items]                                      
Basis spread on variable rate             1.95%                        
Debt Instrument, Interest Rate Floor             (3.00%)                        
The Annie B land loan                                      
Debt Instrument [Line Items]                                      
Debt   11,876,000         $ 11,876,000           11,876,000       12,568,000    
Debt Instrument, Periodic Payment, Principal     $ 49,875                                
Saint George construction loan                                      
Debt Instrument [Line Items]                                      
Debt   52,239,000         52,239,000           52,239,000       47,741,000    
The Saint June                                      
Debt Instrument [Line Items]                                      
Debt   33,178,000         33,178,000           33,178,000       32,109,000    
Proceeds from Issuance of Debt   1,300,000                                  
Debt Instrument, Increase (Decrease), Net   1,500,000                                  
Long-Term Construction Loan   $ 32,900,000         32,900,000           32,900,000            
The Saint June | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate                                      
Debt Instrument [Line Items]                                      
Basis spread on variable rate   2.00%       2.35%                          
Debt Instrument, Interest Rate Floor           (3.50%)                          
Holden Hills Phase 1                                      
Debt Instrument [Line Items]                                      
Debt   $ 20,980,000         20,980,000           20,980,000       15,265,000    
West Killeen Market                                      
Debt Instrument [Line Items]                                      
Debt   0         0           0       5,194,000    
Amarra Villas credit facility                                      
Debt Instrument [Line Items]                                      
Debt   0         0           0       $ 1,631,000    
Amarra Villas credit facility | Revolving Credit Facility                                      
Debt Instrument [Line Items]                                      
Debt   $ 1,700,000         $ 1,700,000           $ 1,700,000