5.64% Annuity Table for periods rounded to 4 digits

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

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Calculate v²⁵

vn  =	1
	(1 + i)n

v25  =	1
	(1 + 0.0564)25

v25  =	1
	(1.0564)25

v25  =	1
	3.9419

v²⁵ = 0.2537

Calculate (1 + i)²⁵
(1 + i)²⁵ = (1 + 0.0564)²⁵
(1 + i)²⁵ = (1.0564)²⁵
(1 + i)²⁵ = 3.9419

Calculate d:

d  =	i
	1 + i

d  =	0.0564
	1 + 1.0564

d  =	0.0564
	1.0564

d = 0.0534

Calculate a_25|

an|  =	1 - vn
	i

With n = 25 and i = 0.0564, we get:

a25|  =	1 - v25
	0.0564

We know from above that v²⁵ = 0.2537, so we get

a25|  =	1 - 0.2537
	0.0564

a25|  =	0.7463
	0.0564

a_25| = 13.2323

Calculate s_25|

sn|  =	(1 + i)n - 1
	i

With n = 25 and i = 0.0564, we get:

s25|  =	(1 + i)25 - 1
	0.0564

We know from above that (1 + i)²⁵ = 3.9419, so we get

s25|  =	3.9419 - 1
	0.0564

s25|  =	2.9419
	0.0564

s_25| = 52.1613

Calculate ä_25|

an|  =	1 - vn
	d

With n = 25 and d = 0.0534, we get:

ä25|  =	1 - v25
	0.0534

We know from above that v²⁵ = 0.2537, so we get

ä25|  =	1 - 0.2537
	0.0534

ä25|  =	0.7463
	0.0534

ä_25| = 13.9757

Calculate s_25|

We know from above that (1 + i)²⁵ = 3.9419 and d = 0.0534, so we get

s25|  =	3.9419 - 1
	0.0534

s25|  =	2.9419
	0.0534

s_25| = 55.0918

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 = 25 and a force of interest of 5.64%

a(25) = e^{0.0564 x 25}
a(25) = e^1.41
a(25) = 4.096

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|	ä25|	s25|	δn	Math

Final Answer

You have 2 free calculationss remaining

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Tags:

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

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