Final answer:
The instantaneous rate of change of the portfolio's value on January 1, 2022 cannot be determined without more information and the use of calculus.
Step-by-step explanation:
The question is asking for the instantaneous rate at which the portfolio's value is changing on January 1, 2022. In order to determine the portfolio's value on that specific date, we will need more information regarding the investments and their rates of return. The calculation of the instantaneous rate of change involves the use of calculus, specifically the derivative. Without the necessary data, it is not possible to provide an accurate calculation.