On January $1,2023,$ Bertrand, Incorporated, paid $$85,700$ for a $40$ percent interest in Chestnut Corporation's common stock. This

investee had assets with a book value of $$256,000$ and liabilities of $$83,500.$ A patent held by Chestnut having a $$9,800$ book value

was actually worth $$20,300.$ 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 $$48,000$ and declared and paid dividends of $$16,000.$

In $2024,$ it had income of $$52,000$ and dividends of $$21,000.$ During $2024,$ the fair value of Bertrand's investment in Chestnut had

risen from $$99,100$ to $$105,100.$

Required:

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

$2024?$

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

a$.$ Investment in Chestnut account as per the equity method

b$.$ Income from the investment in Chestnut as per fair$-$value accounting