We know from above that (1 + i)4 = 1.2454, so we get
s4| =
1.2454 - 1
0.0564
s4| =
0.2454
0.0564
s4| = 4.3511
Calculate ä4|
an| =
1 - vn
d
With n = 4 and d = 0.0534, we get:
ä4| =
1 - v4
0.0534
We know from above that v4 = 0.8029, so we get
ä4| =
1 - 0.8029
0.0534
ä4| =
0.1971
0.0534
ä4| = 3.6910
Calculate s4|
We know from above that (1 + i)4 = 1.2454 and d = 0.0534, so we get
s4| =
1.2454 - 1
0.0534
s4| =
0.2454
0.0534
s4| = 4.5955
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 = 4 and a force of interest of 5.64%
a(4) = e0.0564 x 4 a(4) = e0.2256 a(4) = 1.2531
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|
ä4|
s4|
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