Calculate v8
| vn = | 1 |
| (1 + i)n |
| v8 = | 1 |
| (1 + 0.0431)8 |
| v8 = | 1 |
| (1.0431)8 |
| v8 = | 1 |
| 1.4015 |
v8 = 0.7135
Calculate (1 + i)8
(1 + i)8 = (1 + 0.0431)8
(1 + i)8 = (1.0431)8
(1 + i)8 = 1.4015
Calculate d:
| d = | i |
| 1 + i |
| d = | 0.0431 |
| 1 + 1.0431 |
| d = | 0.0431 |
| 1.0431 |
d = 0.0413
Calculate a8|
| an| = | 1 - vn |
| i |
With n = 8 and i = 0.0431, we get:
| a8| = | 1 - v8 |
| 0.0431 |
We know from above that v8 = 0.7135, so we get
| a8| = | 1 - 0.7135 |
| 0.0431 |
| a8| = | 0.2865 |
| 0.0431 |
a8| = 6.6473
Calculate s8|
| sn| = | (1 + i)n - 1 |
| i |
With n = 8 and i = 0.0431, we get:
| s8| = | (1 + i)8 - 1 |
| 0.0431 |
We know from above that (1 + i)8 = 1.4015, so we get
| s8| = | 1.4015 - 1 |
| 0.0431 |
| s8| = | 0.4015 |
| 0.0431 |
s8| = 9.3155
Calculate ä8|
| an| = | 1 - vn |
| d |
With n = 8 and d = 0.0413, we get:
| ä8| = | 1 - v8 |
| 0.0413 |
We know from above that v8 = 0.7135, so we get
| ä8| = | 1 - 0.7135 |
| 0.0413 |
| ä8| = | 0.2865 |
| 0.0413 |
ä8| = 6.9370
Calculate s8|
We know from above that (1 + i)8 = 1.4015 and d = 0.0413, so we get| s8| = | 1.4015 - 1 |
| 0.0413 |
| s8| = | 0.4015 |
| 0.0413 |
s8| = 9.7215
Calculate the accumulated value using the force of interest δ
a(t)=ep where p is denoted belowp = 0∫nδtdt
Integrating, we get eδ(t)
Evaluate at t = 8 and a force of interest of 4.31%
a(8) = e0.0431 x 8a(8) = e0.3448
a(8) = 1.4117
Using 4.31% interest rate
Calculate the various interest measurements
Compound Interest Function Values at 4.31%
| n | vn | (1 + i)n | d | an| | sn| | ä8| | s8| | δn | Math |
|---|
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.
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?
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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