On December $1,2022,$ Barnes Inc. borrow $$100,000$ in the form of an installment loan to purchase a new building. The interest rate on the loan is $9\%$ per year and the required payments are $$800$ per month $($paid on last day of the month$).$ What is the carrying value of the company's installment loan $($Note Payable account only, NOT the related Interest Payable$)$ reported on the $2022$ balance sheet?