On January $1,2020,$ Alison, Inc., paid $$60,000$ for a $40$ percent interest in Holister Corporation's common stock. This investee had assets with a book value of $$200,000$ and liabilities of $$75,000.$ A patent held by Holister having a $$5,000$ book value was actually worth $$20,000.$ This patent had a six$-$year remaining life. Any further excess cost associated with this acquisition was attributed to goodwill. During $2020,$ Holister earned income of $$30,000$ and declared and paid dividends of $$10,000.$ In $2021,$ it had income of $$50,000$ and dividends of $$15,000.$ During $2021,$ the fair value of Allison's investment in Holister had risen from $$68,000$ to $$75,000.$

a$.$ Assuming Alison uses the equity method, what balance should appear in the Investment in Holister account as of December $31,2021?$

b$.$ Assuming Alison uses fair$-$value accounting, what income from the investment in Holister should be reported for $2021?$

$\backslash$table$[[,,],[$a$.,$Investment in Holister,$],[$b$.,$Investment income,vdots