5.64% Annuity Table for periods rounded to 4 digits

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

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Calculate v¹⁶

vn  =	1
	(1 + i)n

v16  =	1
	(1 + 0.0564)16

v16  =	1
	(1.0564)16

v16  =	1
	2.4058

v¹⁶ = 0.4157

Calculate (1 + i)¹⁶
(1 + i)¹⁶ = (1 + 0.0564)¹⁶
(1 + i)¹⁶ = (1.0564)¹⁶
(1 + i)¹⁶ = 2.4058

Calculate d:

d  =	i
	1 + i

d  =	0.0564
	1 + 1.0564

d  =	0.0564
	1.0564

d = 0.0534

Calculate a_16|

an|  =	1 - vn
	i

With n = 16 and i = 0.0564, we get:

a16|  =	1 - v16
	0.0564

We know from above that v¹⁶ = 0.4157, so we get

a16|  =	1 - 0.4157
	0.0564

a16|  =	0.5843
	0.0564

a_16| = 10.3599

Calculate s_16|

sn|  =	(1 + i)n - 1
	i

With n = 16 and i = 0.0564, we get:

s16|  =	(1 + i)16 - 1
	0.0564

We know from above that (1 + i)¹⁶ = 2.4058, so we get

s16|  =	2.4058 - 1
	0.0564

s16|  =	1.4058
	0.0564

s_16| = 24.9255

Calculate ä_16|

an|  =	1 - vn
	d

With n = 16 and d = 0.0534, we get:

ä16|  =	1 - v16
	0.0534

We know from above that v¹⁶ = 0.4157, so we get

ä16|  =	1 - 0.4157
	0.0534

ä16|  =	0.5843
	0.0534

ä_16| = 10.9419

Calculate s_16|

We know from above that (1 + i)¹⁶ = 2.4058 and d = 0.0534, so we get

s16|  =	2.4058 - 1
	0.0534

s16|  =	1.4058
	0.0534

s_16| = 26.3258

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 = 16 and a force of interest of 5.64%

a(16) = e^{0.0564 x 16}
a(16) = e^0.9024
a(16) = 2.4655

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|	ä16|	s16|	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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