We know from above that (1 + i)3 = 1.1789, so we get
s3| =
1.1789 - 1
0.0564
s3| =
0.1789
0.0564
s3| = 3.1720
Calculate ä3|
an| =
1 - vn
d
With n = 3 and d = 0.0534, we get:
ä3| =
1 - v3
0.0534
We know from above that v3 = 0.8482, so we get
ä3| =
1 - 0.8482
0.0534
ä3| =
0.1518
0.0534
ä3| = 2.8427
Calculate s3|
We know from above that (1 + i)3 = 1.1789 and d = 0.0534, so we get
s3| =
1.1789 - 1
0.0534
s3| =
0.1789
0.0534
s3| = 3.3502
Calculate the accumulated value using the force of interest δ
a(t)=ep where p is denoted below p = 0∫nδtdt Integrating, we get eδ(t)
Evaluate at t = 3 and a force of interest of 5.64%
a(3) = e0.0564 x 3 a(3) = e0.1692 a(3) = 1.1844
Using 5.64% interest rate
Calculate the various interest measurements
Compound Interest Function Values at 5.64%
n
vn
(1 + i)n
d
an|
sn|
ä3|
s3|
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.
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