150% Annuity Table for periods rounded to 4 digits

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

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Calculate v²⁷

vn  =	1
	(1 + i)n

v27  =	1
	(1 + 1.5)27

v27  =	1
	(2.5)27

v27  =	1
	55511151231.258

v²⁷ = 0.0000

Calculate (1 + i)²⁷
(1 + i)²⁷ = (1 + 1.5)²⁷
(1 + i)²⁷ = (2.5)²⁷
(1 + i)²⁷ = 55,511,151,231.2578

Calculate d:

d  =	i
	1 + i

d  =	1.5
	1 + 2.5

d  =	1.5
	2.5

d = 0.6

Calculate a_27|

an|  =	1 - vn
	i

With n = 27 and i = 1.5, we get:

a27|  =	1 - v27
	1.5

We know from above that v²⁷ = 0.0000, so we get

a27|  =	1 - 0
	1.5

a27|  =	1
	1.5

a_27| = 0.6667

Calculate s_27|

sn|  =	(1 + i)n - 1
	i

With n = 27 and i = 1.5, we get:

s27|  =	(1 + i)27 - 1
	1.5

We know from above that (1 + i)²⁷ = 55,511,151,231.2578, so we get

s27|  =	55511151231.258 - 1
	1.5

s27|  =	55511151230.258
	1.5

s_27| = 37,007,434,153.5052

Calculate ä_27|

an|  =	1 - vn
	d

With n = 27 and d = 0.6, we get:

ä27|  =	1 - v27
	0.6

We know from above that v²⁷ = 0.0000, so we get

ä27|  =	1 - 0
	0.6

ä27|  =	1
	0.6

ä_27| = 1.6667

Calculate s_27|

We know from above that (1 + i)²⁷ = 55,511,151,231.2578 and d = 0.6, so we get

s27|  =	55511151231.258 - 1
	0.6

s27|  =	55511151230.258
	0.6

s_27| = 92518585383.763

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 = 27 and a force of interest of 150%

a(27) = e^{1.5 x 27}
a(27) = e^40.5
a(27) = 3.8808469624362E+17

Using 150% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 150%

n	vn	(1 + i)n	d	an|	sn|	ä27|	s27|	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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