An annuity immediate pays $1,300 at the end of each year for 5n years. It has the same present value as a perpetuity immediate that pays $949.34 at the end of each year. (a) What is the value of v n ? (b) If an n year annuity immediate that pays X at the end of each year has the same effective annual interest rate and same present value as the other annuities, what is X?