6.58% Annuity Table for periods rounded to 4 digits

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

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Calculate v¹⁹

vn  =	1
	(1 + i)n

v19  =	1
	(1 + 0.0658)19

v19  =	1
	(1.0658)19

v19  =	1
	3.3561

v¹⁹ = 0.2980

Calculate (1 + i)¹⁹
(1 + i)¹⁹ = (1 + 0.0658)¹⁹
(1 + i)¹⁹ = (1.0658)¹⁹
(1 + i)¹⁹ = 3.3561

Calculate d:

d  =	i
	1 + i

d  =	0.0658
	1 + 1.0658

d  =	0.0658
	1.0658

d = 0.0617

Calculate a_19|

an|  =	1 - vn
	i

With n = 19 and i = 0.0658, we get:

a19|  =	1 - v19
	0.0658

We know from above that v¹⁹ = 0.2980, so we get

a19|  =	1 - 0.298
	0.0658

a19|  =	0.702
	0.0658

a_19| = 10.6687

Calculate s_19|

sn|  =	(1 + i)n - 1
	i

With n = 19 and i = 0.0658, we get:

s19|  =	(1 + i)19 - 1
	0.0658

We know from above that (1 + i)¹⁹ = 3.3561, so we get

s19|  =	3.3561 - 1
	0.0658

s19|  =	2.3561
	0.0658

s_19| = 35.8070

Calculate ä_19|

an|  =	1 - vn
	d

With n = 19 and d = 0.0617, we get:

ä19|  =	1 - v19
	0.0617

We know from above that v¹⁹ = 0.2980, so we get

ä19|  =	1 - 0.298
	0.0617

ä19|  =	0.702
	0.0617

ä_19| = 11.3776

Calculate s_19|

We know from above that (1 + i)¹⁹ = 3.3561 and d = 0.0617, so we get

s19|  =	3.3561 - 1
	0.0617

s19|  =	2.3561
	0.0617

s_19| = 38.1864

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 = 19 and a force of interest of 6.58%

a(19) = e^{0.0658 x 19}
a(19) = e^1.2502
a(19) = 3.491

Using 6.58% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 6.58%

n	vn	(1 + i)n	d	an|	sn|	ä19|	s19|	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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