4.31% Annuity Table for periods rounded to 4 digits

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

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Calculate v²⁴

vn  =	1
	(1 + i)n

v24  =	1
	(1 + 0.0431)24

v24  =	1
	(1.0431)24

v24  =	1
	2.7531

v²⁴ = 0.3632

Calculate (1 + i)²⁴
(1 + i)²⁴ = (1 + 0.0431)²⁴
(1 + i)²⁴ = (1.0431)²⁴
(1 + i)²⁴ = 2.7531

Calculate d:

d  =	i
	1 + i

d  =	0.0431
	1 + 1.0431

d  =	0.0431
	1.0431

d = 0.0413

Calculate a_24|

an|  =	1 - vn
	i

With n = 24 and i = 0.0431, we get:

a24|  =	1 - v24
	0.0431

We know from above that v²⁴ = 0.3632, so we get

a24|  =	1 - 0.3632
	0.0431

a24|  =	0.6368
	0.0431

a_24| = 14.7749

Calculate s_24|

sn|  =	(1 + i)n - 1
	i

With n = 24 and i = 0.0431, we get:

s24|  =	(1 + i)24 - 1
	0.0431

We know from above that (1 + i)²⁴ = 2.7531, so we get

s24|  =	2.7531 - 1
	0.0431

s24|  =	1.7531
	0.0431

s_24| = 40.6752

Calculate ä_24|

an|  =	1 - vn
	d

With n = 24 and d = 0.0413, we get:

ä24|  =	1 - v24
	0.0413

We know from above that v²⁴ = 0.3632, so we get

ä24|  =	1 - 0.3632
	0.0413

ä24|  =	0.6368
	0.0413

ä_24| = 15.4189

Calculate s_24|

We know from above that (1 + i)²⁴ = 2.7531 and d = 0.0413, so we get

s24|  =	2.7531 - 1
	0.0413

s24|  =	1.7531
	0.0413

s_24| = 42.4479

Calculate the accumulated value using the force of interest δ

a(t)=e^p where p is denoted below
p = ₀∫ⁿδ_tdt
Integrating, we get e^δ(t)

Evaluate at t = 24 and a force of interest of 4.31%

a(24) = e^{0.0431 x 24}
a(24) = e^1.0344
a(24) = 2.8134

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|	ä24|	s24|	δn	Math

Final Answer

You have 2 free calculationss remaining

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• annuity
• compound interest
• force of interest
• interest
• present value

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