5.64% Annuity Table for periods rounded to 4 digits

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

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Calculate v²⁹

vn  =	1
	(1 + i)n

v29  =	1
	(1 + 0.0564)29

v29  =	1
	(1.0564)29

v29  =	1
	4.9093

v²⁹ = 0.2037

Calculate (1 + i)²⁹
(1 + i)²⁹ = (1 + 0.0564)²⁹
(1 + i)²⁹ = (1.0564)²⁹
(1 + i)²⁹ = 4.9093

Calculate d:

d  =	i
	1 + i

d  =	0.0564
	1 + 1.0564

d  =	0.0564
	1.0564

d = 0.0534

Calculate a_29|

an|  =	1 - vn
	i

With n = 29 and i = 0.0564, we get:

a29|  =	1 - v29
	0.0564

We know from above that v²⁹ = 0.2037, so we get

a29|  =	1 - 0.2037
	0.0564

a29|  =	0.7963
	0.0564

a_29| = 14.1188

Calculate s_29|

sn|  =	(1 + i)n - 1
	i

With n = 29 and i = 0.0564, we get:

s29|  =	(1 + i)29 - 1
	0.0564

We know from above that (1 + i)²⁹ = 4.9093, so we get

s29|  =	4.9093 - 1
	0.0564

s29|  =	3.9093
	0.0564

s_29| = 69.3138

Calculate ä_29|

an|  =	1 - vn
	d

With n = 29 and d = 0.0534, we get:

ä29|  =	1 - v29
	0.0534

We know from above that v²⁹ = 0.2037, so we get

ä29|  =	1 - 0.2037
	0.0534

ä29|  =	0.7963
	0.0534

ä_29| = 14.9120

Calculate s_29|

We know from above that (1 + i)²⁹ = 4.9093 and d = 0.0534, so we get

s29|  =	4.9093 - 1
	0.0534

s29|  =	3.9093
	0.0534

s_29| = 73.2079

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 = 29 and a force of interest of 5.64%

a(29) = e^{0.0564 x 29}
a(29) = e^1.6356
a(29) = 5.1325

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|	ä29|	s29|	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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