conversion of all of our redeemable convertible preferred stock into common stock in connection with this offering, then the outstanding principal amount and all accrued and unpaid interest on the Notes will automatically convert into shares of Series D redeemable convertible preferred stock, at a price per share equal to $1.87 per share, as adjusted, immediately prior to such automatic conversion event.
If a change of control occurs, each Note holder has the option to convert the outstanding principal amount and all accrued and unpaid interest on the Note into shares of Series D redeemable convertible preferred stock, at a price per share equal to $1.87 per share, as adjusted. The outstanding principal amount and all accrued and unpaid interest that, in each case, has not otherwise been converted into equity securities, must be prepaid prior to the closing of such change of control, together with a premium equal to 100% of the outstanding principal amount to be prepaid. We may also prepay the Note at any time with the written consent of the Majority Investors.
We borrowed $29.2 million in 2018, $21.0 million in 2019, and $15.0 million in 2020 under the 2018 Note Purchase Agreements, 2019 Note Purchase Agreements and 2020 Note Purchase Agreement, respectively. On December 31, 2020, we retained the ability to draw up to an additional $15.0 million under the 2020 Note Agreement for the purpose of paying the Company’s deferred payment obligation to BSC.
The Notes contain embedded features—a Qualified Financing put, Non-Qualified Financing put, and change of control put—that were bifurcated and accounted as a single derivative liability and recorded as a debt discount. Debt discount is reported as a direct deduction to the carrying amount of the Notes and amortized using the effective interest rate over the life of the Notes as interest expense. The derivative liability is recognized at fair value initially and subsequently measured at fair value with the change in fair value recorded in the statements of operations at each reporting period, and classified as either short-term, or long-term, consistent with their respective host contract.
The issuance date estimated fair values of the derivative instruments related to the Notes were $15.4 million, $12.0 million, and $6.9 million, respectively, which were recorded as debt discounts. As of December 31, 2019, December 31, 2020, and June 30, 2021, the estimated fair value of the aggregate outstanding derivative instrument was $35.2 million, $33.5 million, and $40.9 million, respectively.
During the years ended December 31, 2019 and 2020, we reported amortization of debt discount of $14.0 million and $1.4 million, respectively.
During the six months ended June 30, 2020 and 2021, we reported amortization of debt discount of $0.4 million and $1.1 million, respectively.
During the year ended December 31, 2019, we recorded interest expense of $17.0 million on the 2018 Notes and 2019 Notes, including the amortization of debt discount noted above. During the year ended December 31, 2019, the 2018 Notes and 2019 Notes had an annual effective interest rate ranging from 114% to 183% per year. As of December 31, 2019, the 2018 Notes and 2019 Notes had accrued interest of less than $0.1 million.
During the year ended December 31, 2020, we recorded interest expense of $6.5 million on the Notes, including the amortization of debt discount noted above. During the year ended December 31, 2020, the Notes had an annual effective interest rate ranging from 9% to 31% per year. As of December 31, 2020, the Notes had accrued interest of $5.1 million.
Future funding requirements
We expect to incur continued expenditures in the future in support of our commercialization efforts in the United States. In addition, we intend to continue to make investments in clinical studies, development of new products, and other ongoing research and development programs. We also expect to incur additional costs associated with operating as a public company. We may incur additional expenses to expand our commercial organization and efforts, further enhance our research and development efforts, and pursue commercial opportunities outside of the United States.
104