On January $1,2023,$ Bertrand, Incorporated, paid $$70,800$ for a $40$ percent interest in Chestnut Corporation$$s common stock. This investee had assets with a book value of $$235,000$ and liabilities of $$95,000.$ A patent held by Chestnut having a $$8,900$ book value was actually worth $$25,400.$ This patent had a six$-$year remaining life. Any further excess cost associated with this acquisition was attributed to an indefinite$-$lived asset. During $2023,$ Chestnut earned income of $$45,700$ and declared and paid dividends of $$15,000.$ In $2024,$ it had income of $$53,700$ and dividends of $$20,000.$ During $2024,$ the fair value of Bertrand$$s investment in Chestnut had risen from $$84,080$ to $$88,960.$

Required:

Assuming Bertrand uses the equity method, what balance should appear in the Investment in Chestnut account as of December $31,2024?$

Assuming Bertrand uses fair$-$value accounting, what income from the investment in Chestnut should be reported for $2024?$