5.64% Annuity Table for periods rounded to 4 digits

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

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Calculate v²³

vn  =	1
	(1 + i)n

v23  =	1
	(1 + 0.0564)23

v23  =	1
	(1.0564)23

v23  =	1
	3.5323

v²³ = 0.2831

Calculate (1 + i)²³
(1 + i)²³ = (1 + 0.0564)²³
(1 + i)²³ = (1.0564)²³
(1 + i)²³ = 3.5323

Calculate d:

d  =	i
	1 + i

d  =	0.0564
	1 + 1.0564

d  =	0.0564
	1.0564

d = 0.0534

Calculate a_23|

an|  =	1 - vn
	i

With n = 23 and i = 0.0564, we get:

a23|  =	1 - v23
	0.0564

We know from above that v²³ = 0.2831, so we get

a23|  =	1 - 0.2831
	0.0564

a23|  =	0.7169
	0.0564

a_23| = 12.7110

Calculate s_23|

sn|  =	(1 + i)n - 1
	i

With n = 23 and i = 0.0564, we get:

s23|  =	(1 + i)23 - 1
	0.0564

We know from above that (1 + i)²³ = 3.5323, so we get

s23|  =	3.5323 - 1
	0.0564

s23|  =	2.5323
	0.0564

s_23| = 44.8989

Calculate ä_23|

an|  =	1 - vn
	d

With n = 23 and d = 0.0534, we get:

ä23|  =	1 - v23
	0.0534

We know from above that v²³ = 0.2831, so we get

ä23|  =	1 - 0.2831
	0.0534

ä23|  =	0.7169
	0.0534

ä_23| = 13.4251

Calculate s_23|

We know from above that (1 + i)²³ = 3.5323 and d = 0.0534, so we get

s23|  =	3.5323 - 1
	0.0534

s23|  =	2.5323
	0.0534

s_23| = 47.4213

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 = 23 and a force of interest of 5.64%

a(23) = e^{0.0564 x 23}
a(23) = e^1.2972
a(23) = 3.659

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|	ä23|	s23|	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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