150% Annuity Table for periods rounded to 4 digits

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

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Calculate v¹⁷

vn  =	1
	(1 + i)n

v17  =	1
	(1 + 1.5)17

v17  =	1
	(2.5)17

v17  =	1
	5820766.0913

v¹⁷ = 0.0000

Calculate (1 + i)¹⁷
(1 + i)¹⁷ = (1 + 1.5)¹⁷
(1 + i)¹⁷ = (2.5)¹⁷
(1 + i)¹⁷ = 5,820,766.0913

Calculate d:

d  =	i
	1 + i

d  =	1.5
	1 + 2.5

d  =	1.5
	2.5

d = 0.6

Calculate a_17|

an|  =	1 - vn
	i

With n = 17 and i = 1.5, we get:

a17|  =	1 - v17
	1.5

We know from above that v¹⁷ = 0.0000, so we get

a17|  =	1 - 0
	1.5

a17|  =	1
	1.5

a_17| = 0.6667

Calculate s_17|

sn|  =	(1 + i)n - 1
	i

With n = 17 and i = 1.5, we get:

s17|  =	(1 + i)17 - 1
	1.5

We know from above that (1 + i)¹⁷ = 5,820,766.0913, so we get

s17|  =	5820766.0913 - 1
	1.5

s17|  =	5820765.0913
	1.5

s_17| = 3,880,510.0609

Calculate ä_17|

an|  =	1 - vn
	d

With n = 17 and d = 0.6, we get:

ä17|  =	1 - v17
	0.6

We know from above that v¹⁷ = 0.0000, so we get

ä17|  =	1 - 0
	0.6

ä17|  =	1
	0.6

ä_17| = 1.6667

Calculate s_17|

We know from above that (1 + i)¹⁷ = 5,820,766.0913 and d = 0.6, so we get

s17|  =	5820766.0913 - 1
	0.6

s17|  =	5820765.0913
	0.6

s_17| = 9701275.1522

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 = 17 and a force of interest of 150%

a(17) = e^{1.5 x 17}
a(17) = e^25.5
a(17) = 118716009132.17

Using 150% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 150%

n	vn	(1 + i)n	d	an|	sn|	ä17|	s17|	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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