In: Finance
$15,000 is the present value of Perpetuity A which pays $500 at the beginning of each year with the first payment starting today. $6,834 is the present value of Perpetuity B which pays $550 at the beginning of each year, with the first payment starting n years from today. Determine the present value of an annuity-due that makes payments of $55 each year for n years.
Formula for present value of perpetuity at beginnig of each year is given below:
For perpetuity A,
Perpetuity B
Replace 1/29 for i,
take log on both side
Present value of annuity due