In: Finance
Charlotte will receive quarterly payments from a perpetuity, beginning now. The amount of the first payment is 100, and each subsequent payment is larger than the previous payment by an amount X. Assuming an interest of 6% convertible monthly, the present value of this perpetuity is $20,000. Find X.
Answer;
Value of X = 1.03676%
Cross check
Present value of investment = 100 + 1.03676 / 1.541945 - 1.03676
Present value of investment = 101.03676 / .505185%
Present value of investment = $20000