Enter what you know below

<-- Present Val
<-- Accum Val
<-- Payment
<-- n
<-- Interest Rate
<-- Immediate
<-- Due
  
For an Annuity Immediate:
Payment = 150000
n = 25
Interest Rate = 7
Calculate Present Value, Accumulated Value

PV annuity immediate formula:

an|i  =  Payment * (1 - vn)
  i

Calculate v:

v  =  1
  1 + i

v  =  1
  1 + 0.07

v  =  1
  1.07

v = 0.93457943925234

Calculate PV given i = 0.07, n = 25, and v = 0.93457943925234

a25|0.07  =  150000 * (1 - 0.9345794392523425)
  0.07

a25|0.07  =  150000 * (1 - 0.18424917752224)
  0.07

a25|0.07  =  150000 * 0.81575082247776
  0.07

a25|0.07  =  122362.62337166
  0.07

a25|0.07 = 1748037.4767

AV annuity immediate formula:

sn|i  =  Payment * ((1 + i)n - 1)
  i

Calculate AV given i = 0.07, n = 25

s25|0.07  =  150000 * ((1 + 0.07)25 - 1)
  0.07

s25|0.07  =  150000 * (1.0725 - 1)
  0.07

s25|0.07  =  150000 * (5.4274326401229 - 1)
  0.07

s25|0.07  =  150000 * 4.4274326401229
  0.07

s25|0.07  =  664114.89601843
  0.07

s25|0.07 = 9487355.6574

How much of AV is principal?:

Principal = Payment Amount * n
Principal = 150000 * 25
Principal = 3750000

Calculate Interest Paid:

Interest Paid = Accumulated Value - Principal
Interest Paid = 9487355.6574 - 3750000