5.64% Annuity Table for periods rounded to 4 digits

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

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Calculate v²⁸

vn  =	1
	(1 + i)n

v28  =	1
	(1 + 0.0564)28

v28  =	1
	(1.0564)28

v28  =	1
	4.6472

v²⁸ = 0.2152

Calculate (1 + i)²⁸
(1 + i)²⁸ = (1 + 0.0564)²⁸
(1 + i)²⁸ = (1.0564)²⁸
(1 + i)²⁸ = 4.6472

Calculate d:

d  =	i
	1 + i

d  =	0.0564
	1 + 1.0564

d  =	0.0564
	1.0564

d = 0.0534

Calculate a_28|

an|  =	1 - vn
	i

With n = 28 and i = 0.0564, we get:

a28|  =	1 - v28
	0.0564

We know from above that v²⁸ = 0.2152, so we get

a28|  =	1 - 0.2152
	0.0564

a28|  =	0.7848
	0.0564

a_28| = 13.9149

Calculate s_28|

sn|  =	(1 + i)n - 1
	i

With n = 28 and i = 0.0564, we get:

s28|  =	(1 + i)28 - 1
	0.0564

We know from above that (1 + i)²⁸ = 4.6472, so we get

s28|  =	4.6472 - 1
	0.0564

s28|  =	3.6472
	0.0564

s_28| = 64.6667

Calculate ä_28|

an|  =	1 - vn
	d

With n = 28 and d = 0.0534, we get:

ä28|  =	1 - v28
	0.0534

We know from above that v²⁸ = 0.2152, so we get

ä28|  =	1 - 0.2152
	0.0534

ä28|  =	0.7848
	0.0534

ä_28| = 14.6966

Calculate s_28|

We know from above that (1 + i)²⁸ = 4.6472 and d = 0.0534, so we get

s28|  =	4.6472 - 1
	0.0534

s28|  =	3.6472
	0.0534

s_28| = 68.2996

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 = 28 and a force of interest of 5.64%

a(28) = e^{0.0564 x 28}
a(28) = e^1.5792
a(28) = 4.8511

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|	ä28|	s28|	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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