(a) A philanthropist wants to endow a professorship by making a donation of $P on 1/1/2021. The professor will be paid $210,000 at the end of each year, beginning in the year 2021. This endowment will perpetuate forever. Use an annual interest rate of 3%. (i) Calculate P. (ii) Let the present value of all future payments be SQ as of 1/1/2040. (Note: Future payments mean all payments on or after 1/1/2040.) Without any calculations, determine which of the following is true? Justify your answer. (I) P>Q. (II) P