150% Annuity Table for periods rounded to 4 digits

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

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Calculate v¹¹

vn  =	1
	(1 + i)n

v11  =	1
	(1 + 1.5)11

v11  =	1
	(2.5)11

v11  =	1
	23841.8579

v¹¹ = 0.0000

Calculate (1 + i)¹¹
(1 + i)¹¹ = (1 + 1.5)¹¹
(1 + i)¹¹ = (2.5)¹¹
(1 + i)¹¹ = 23,841.8579

Calculate d:

d  =	i
	1 + i

d  =	1.5
	1 + 2.5

d  =	1.5
	2.5

d = 0.6

Calculate a_11|

an|  =	1 - vn
	i

With n = 11 and i = 1.5, we get:

a11|  =	1 - v11
	1.5

We know from above that v¹¹ = 0.0000, so we get

a11|  =	1 - 0
	1.5

a11|  =	1
	1.5

a_11| = 0.6667

Calculate s_11|

sn|  =	(1 + i)n - 1
	i

With n = 11 and i = 1.5, we get:

s11|  =	(1 + i)11 - 1
	1.5

We know from above that (1 + i)¹¹ = 23,841.8579, so we get

s11|  =	23841.8579 - 1
	1.5

s11|  =	23840.8579
	1.5

s_11| = 15,893.9053

Calculate ä_11|

an|  =	1 - vn
	d

With n = 11 and d = 0.6, we get:

ä11|  =	1 - v11
	0.6

We know from above that v¹¹ = 0.0000, so we get

ä11|  =	1 - 0
	0.6

ä11|  =	1
	0.6

ä_11| = 1.6667

Calculate s_11|

We know from above that (1 + i)¹¹ = 23,841.8579 and d = 0.6, so we get

s11|  =	23841.8579 - 1
	0.6

s11|  =	23840.8579
	0.6

s_11| = 39734.7632

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 = 11 and a force of interest of 150%

a(11) = e^{1.5 x 11}
a(11) = e^16.5
a(11) = 14650719.429

Using 150% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 150%

n	vn	(1 + i)n	d	an|	sn|	ä11|	s11|	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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