On January $1,2020,$ KMR Co$.$ issued bonds with a face value of $$100,000,$ a term of $10-$years, and a stated interest rate of $6\%.$ The bonds were issued at $95,$ and interest is payable each December $31.$ KMR uses the straight$-$line method to amortize the bond discount. The carrying value of the bonds that would be reported on the December $31,2023$ balance sheet is:

$$96,500$

$$97,500.$

$$100,000.$

$$95,500.$