5.64% Annuity Table for periods rounded to 4 digits

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

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Calculate v¹⁴

vn  =	1
	(1 + i)n

v14  =	1
	(1 + 0.0564)14

v14  =	1
	(1.0564)14

v14  =	1
	2.1557

v¹⁴ = 0.4639

Calculate (1 + i)¹⁴
(1 + i)¹⁴ = (1 + 0.0564)¹⁴
(1 + i)¹⁴ = (1.0564)¹⁴
(1 + i)¹⁴ = 2.1557

Calculate d:

d  =	i
	1 + i

d  =	0.0564
	1 + 1.0564

d  =	0.0564
	1.0564

d = 0.0534

Calculate a_14|

an|  =	1 - vn
	i

With n = 14 and i = 0.0564, we get:

a14|  =	1 - v14
	0.0564

We know from above that v¹⁴ = 0.4639, so we get

a14|  =	1 - 0.4639
	0.0564

a14|  =	0.5361
	0.0564

a_14| = 9.5053

Calculate s_14|

sn|  =	(1 + i)n - 1
	i

With n = 14 and i = 0.0564, we get:

s14|  =	(1 + i)14 - 1
	0.0564

We know from above that (1 + i)¹⁴ = 2.1557, so we get

s14|  =	2.1557 - 1
	0.0564

s14|  =	1.1557
	0.0564

s_14| = 20.4911

Calculate ä_14|

an|  =	1 - vn
	d

With n = 14 and d = 0.0534, we get:

ä14|  =	1 - v14
	0.0534

We know from above that v¹⁴ = 0.4639, so we get

ä14|  =	1 - 0.4639
	0.0534

ä14|  =	0.5361
	0.0534

ä_14| = 10.0393

Calculate s_14|

We know from above that (1 + i)¹⁴ = 2.1557 and d = 0.0534, so we get

s14|  =	2.1557 - 1
	0.0534

s14|  =	1.1557
	0.0534

s_14| = 21.6423

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 = 14 and a force of interest of 5.64%

a(14) = e^{0.0564 x 14}
a(14) = e^0.7896
a(14) = 2.2025

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|	ä14|	s14|	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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