5.64% Annuity Table for periods rounded to 4 digits

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

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Calculate v¹⁰

vn  =	1
	(1 + i)n

v10  =	1
	(1 + 0.0564)10

v10  =	1
	(1.0564)10

v10  =	1
	1.7309

v¹⁰ = 0.5777

Calculate (1 + i)¹⁰
(1 + i)¹⁰ = (1 + 0.0564)¹⁰
(1 + i)¹⁰ = (1.0564)¹⁰
(1 + i)¹⁰ = 1.7309

Calculate d:

d  =	i
	1 + i

d  =	0.0564
	1 + 1.0564

d  =	0.0564
	1.0564

d = 0.0534

Calculate a_10|

an|  =	1 - vn
	i

With n = 10 and i = 0.0564, we get:

a10|  =	1 - v10
	0.0564

We know from above that v¹⁰ = 0.5777, so we get

a10|  =	1 - 0.5777
	0.0564

a10|  =	0.4223
	0.0564

a_10| = 7.4876

Calculate s_10|

sn|  =	(1 + i)n - 1
	i

With n = 10 and i = 0.0564, we get:

s10|  =	(1 + i)10 - 1
	0.0564

We know from above that (1 + i)¹⁰ = 1.7309, so we get

s10|  =	1.7309 - 1
	0.0564

s10|  =	0.7309
	0.0564

s_10| = 12.9592

Calculate ä_10|

an|  =	1 - vn
	d

With n = 10 and d = 0.0534, we get:

ä10|  =	1 - v10
	0.0534

We know from above that v¹⁰ = 0.5777, so we get

ä10|  =	1 - 0.5777
	0.0534

ä10|  =	0.4223
	0.0534

ä_10| = 7.9082

Calculate s_10|

We know from above that (1 + i)¹⁰ = 1.7309 and d = 0.0534, so we get

s10|  =	1.7309 - 1
	0.0534

s10|  =	0.7309
	0.0534

s_10| = 13.6873

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 = 10 and a force of interest of 5.64%

a(10) = e^{0.0564 x 10}
a(10) = e^0.564
a(10) = 1.7577

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|	ä10|	s10|	δn	Math

Final Answer

You have 2 free calculationss remaining

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Compound Interest and Annuity Table Calculator Video

Tags:

• annuity
• compound interest
• force of interest
• interest
• present value

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