% <-- Int. Rate
<-- # of Periods
<-- Round To

Calculate v28
vn  =  1
  (1 + i)n

v28  =  1
  (1 + 1.5)28

v28  =  1
  (2.5)28

v28  =  1
  138777878078.14

v28 = 0.0000

Calculate (1 + i)28
(1 + i)28 = (1 + 1.5)28
(1 + i)28 = (2.5)28
(1 + i)28 = 138,777,878,078.1446

Calculate d:

d  =  i
  1 + i

d  =  1.5
  1 + 2.5

d  =  1.5
  2.5

d = 0.6

Calculate a28|
an|  =  1 - vn
  i

With n = 28 and i = 1.5, we get:
a28|  =  1 - v28
  1.5

We know from above that v28 = 0.0000, so we get
a28|  =  1 - 0
  1.5

a28|  =  1
  1.5

a28| = 0.6667

Calculate s28|
sn|  =  (1 + i)n - 1
  i

With n = 28 and i = 1.5, we get:
s28|  =  (1 + i)28 - 1
  1.5

We know from above that (1 + i)28 = 138,777,878,078.1446, so we get
s28|  =  138777878078.14 - 1
  1.5

s28|  =  138777878077.14
  1.5

s28| = 92,518,585,384.7631

Calculate ä28|
an|  =  1 - vn
  d

With n = 28 and d = 0.6, we get:
ä28|  =  1 - v28
  0.6

We know from above that v28 = 0.0000, so we get
ä28|  =  1 - 0
  0.6

ä28|  =  1
  0.6

ä28| = 1.6667

Calculate s28|

We know from above that (1 + i)28 = 138,777,878,078.1446 and d = 0.6, so we get
s28|  =  138777878078.14 - 1
  0.6

s28|  =  138777878077.14
  0.6

s28| = 231296463461.91

Calculate the accumulated value using the force of interest δ

a(t)=ep where p is denoted below
p = 0nδtdt
Integrating, we get eδ(t)

Evaluate at t = 28 and a force of interest of 150%

a(28) = e1.5 x 28
a(28) = e42
a(28) = 1.7392749415205E+18

Using 150% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 150%

nvn(1 + i)ndan|sn|ä28|s28|δnMath

Final Answer

See the table above for values


You have 2 free calculationss remaining




How does the Compound Interest and Annuity Table Calculator work?
Free Compound Interest and Annuity Table Calculator - Given an interest rate (i), number of periods to display (n), and number of digits to round (r), this calculator produces a compound interest table. It shows the values for the following 4 compound interest annuity functions from time 1 to (n) rounded to (r) digits:
vn
d
(1 + i)n
an|
sn|
än|i
sn|i
Force of Interest δn
This calculator has 3 inputs.

What 3 formulas are used for the Compound Interest and Annuity Table Calculator?

v = 1/(1 + i)
A = (1 + r/n)nt
d = iv

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Compound Interest and Annuity Table Calculator?

annuity
A stream of payments
compound interest
the interest you earn on principal and interest
A = (1 + r/n)nt
force of interest
a nominal interest rate or a discount rate compounded infinite number of times (or continuously) per time period.
interest
payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum, at a particular rate
present value
the value in the present of a sum of money, in contrast to some future value it will have when it has been invested at compound interest.
PV = FV/(1 + i)n
where I is the interest rate per period, PV = Present Value, and FV = Future Value
Example calculations for the Compound Interest and Annuity Table Calculator

Compound Interest and Annuity Table Calculator Video


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