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Leases
6 Months Ended
Jun. 30, 2019
Leases [Abstract]  
Leases Leases
We have two operating lease agreements related to our corporate headquarters and a data center facility for which we recognized operating right-of-use (ROU) assets and lease liabilities of $7.3 million and $8.4 million, respectively, as of June 30, 2019. As of June 30, 2019, we did not have any finance leases.
We recognize ROU assets and lease liabilities in connection with the adoption of ASU 2016-02, Leases (Topic 842). ROU assets and lease liabilities are established based on the estimated present value of lease payments over the relevant lease term. We estimate a discount rate for each lease based on our estimated incremental borrowing rate at the commencement date of the relevant lease.
Right-of-use assets obtained in exchange for new operating lease liabilities for the six months ended June 30, 2019 were $8.1 million. The following table provides a summary of our ROU asset and lease liability assumptions as of June 30, 2019:
Weighted-average remaining lease term
3.7 years

Weighted-average discount rate
6.21
%

Cash paid on our operating lease liabilities for the three and six months ended June 30, 2019 was $0.6 million and $1.2 million, respectively. Lease expenses recognized on our operating lease liabilities for the three and six months ended June 30, 2019 were $0.6 million and $1.1 million, respectively. Future payments due under our existing operating leases as of June 30, 2019 are as follows:
As of June 30, 2019
(In Thousands)

2019
$
1,239

2020
2,537

2021
2,609

2022
2,574

2023
462

Total undiscounted lease payments
9,421

Less effects of discounting
(1,028
)
Present value of lease payments
$
8,393


Lease expense is recorded in underwriting and operating expenses on the consolidated statements of operations. Our existing operating leases have terms that range from three to five years. The lease for our corporate headquarters includes an option to renew for an additional five years at prevailing market rates at time of renewal. We have not included this renewal option in our calculation of minimum lease payments as it is not reasonably certain to be exercised.
As of December 31, 2018, the future minimum lease payments as accounted for prior to our adoption of ASU 2016-02, Leases (Topic 842) are as follows:
Year ending December 31, 2018
 
 
(In Thousands)
2019
$
2,346

2020
2,417

2021
2,489

2022
2,564

2023
463

Totals
$
10,279