You have just bought a painting at a price of K >0. Its value grows continuously...

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You have just bought a painting at a price of K >0. Its value grows continuously over time at a rate of 4√t where t is time counted from today. The continuously accruing profit rate on your best alternative investment is equal to r> 0. a) Write down the present discounted value of your painting as a function of time. b) Find how long you should keep the painting in order to maximize the present discounted value of your assets. You have just bought a painting at a price of K >0. Its value grows continuously over time at a rate of 4√t where t is time counted from today. The continuously accruing profit rate on your best alternative investment is equal to r> 0. a) Write down the present discounted value of your painting as a function of time. b) Find how long you should keep the painting in order to maximize the present discounted value of your assets.