5.64% Annuity Table for periods rounded to 4 digits

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

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Calculate v¹⁷

vn  =	1
	(1 + i)n

v17  =	1
	(1 + 0.0564)17

v17  =	1
	(1.0564)17

v17  =	1
	2.5415

v¹⁷ = 0.3935

Calculate (1 + i)¹⁷
(1 + i)¹⁷ = (1 + 0.0564)¹⁷
(1 + i)¹⁷ = (1.0564)¹⁷
(1 + i)¹⁷ = 2.5415

Calculate d:

d  =	i
	1 + i

d  =	0.0564
	1 + 1.0564

d  =	0.0564
	1.0564

d = 0.0534

Calculate a_17|

an|  =	1 - vn
	i

With n = 17 and i = 0.0564, we get:

a17|  =	1 - v17
	0.0564

We know from above that v¹⁷ = 0.3935, so we get

a17|  =	1 - 0.3935
	0.0564

a17|  =	0.6065
	0.0564

a_17| = 10.7535

Calculate s_17|

sn|  =	(1 + i)n - 1
	i

With n = 17 and i = 0.0564, we get:

s17|  =	(1 + i)17 - 1
	0.0564

We know from above that (1 + i)¹⁷ = 2.5415, so we get

s17|  =	2.5415 - 1
	0.0564

s17|  =	1.5415
	0.0564

s_17| = 27.3316

Calculate ä_17|

an|  =	1 - vn
	d

With n = 17 and d = 0.0534, we get:

ä17|  =	1 - v17
	0.0534

We know from above that v¹⁷ = 0.3935, so we get

ä17|  =	1 - 0.3935
	0.0534

ä17|  =	0.6065
	0.0534

ä_17| = 11.3577

Calculate s_17|

We know from above that (1 + i)¹⁷ = 2.5415 and d = 0.0534, so we get

s17|  =	2.5415 - 1
	0.0534

s17|  =	1.5415
	0.0534

s_17| = 28.867

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 = 17 and a force of interest of 5.64%

a(17) = e^{0.0564 x 17}
a(17) = e^0.9588
a(17) = 2.6086

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|	ä17|	s17|	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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