$2.$ On January $1,2022,$ Evan Co$.$ purchased all of the common stock of Kristopher Corp. by issuing $15,000$ shares of $$1$ par value common stock. Evan$$s shares had a $$35$ per share fair value.$$ On that date, Kristopher reported a net book value of $$290,000.$ However, its equipment $($with a five$-$year remaining life$)$ was undervalued by $$65,000$ in the company$$s accounting records.$$ Any excess of consideration transferred over fair value of assets and liabilities is assigned to an unrecorded patent to be amortized over ten years.$$ During $2022,$ Kristopher earned net income of $$165,000$ and paid dividends of $$45,000.$ Kristopher$$s net income and dividends for $2023$ were $$178,000$ and $$65,000,$ respectively.$$

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Required:

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Calculate the balance in the investment account on the books of Evan Co$.$ at the end of $2023$ under each of the following methods:$$

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a$.$ equity method

b$.$ partial equity method

c$.$ initial value method.

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