150% Annuity Table for periods rounded to 4 digits

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

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Calculate v⁸

vn  =	1
	(1 + i)n

v8  =	1
	(1 + 1.5)8

v8  =	1
	(2.5)8

v8  =	1
	1525.8789

v⁸ = 0.0007

Calculate (1 + i)⁸
(1 + i)⁸ = (1 + 1.5)⁸
(1 + i)⁸ = (2.5)⁸
(1 + i)⁸ = 1,525.8789

Calculate d:

d  =	i
	1 + i

d  =	1.5
	1 + 2.5

d  =	1.5
	2.5

d = 0.6

Calculate a_8|

an|  =	1 - vn
	i

With n = 8 and i = 1.5, we get:

a8|  =	1 - v8
	1.5

We know from above that v⁸ = 0.0007, so we get

a8|  =	1 - 0.0007
	1.5

a8|  =	0.9993
	1.5

a_8| = 0.6662

Calculate s_8|

sn|  =	(1 + i)n - 1
	i

With n = 8 and i = 1.5, we get:

s8|  =	(1 + i)8 - 1
	1.5

We know from above that (1 + i)⁸ = 1,525.8789, so we get

s8|  =	1525.8789 - 1
	1.5

s8|  =	1524.8789
	1.5

s_8| = 1,016.5859

Calculate ä_8|

an|  =	1 - vn
	d

With n = 8 and d = 0.6, we get:

ä8|  =	1 - v8
	0.6

We know from above that v⁸ = 0.0007, so we get

ä8|  =	1 - 0.0007
	0.6

ä8|  =	0.9993
	0.6

ä_8| = 1.6655

Calculate s_8|

We know from above that (1 + i)⁸ = 1,525.8789 and d = 0.6, so we get

s8|  =	1525.8789 - 1
	0.6

s8|  =	1524.8789
	0.6

s_8| = 2541.4648

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 = 8 and a force of interest of 150%

a(8) = e^{1.5 x 8}
a(8) = e¹²
a(8) = 162754.7914

Using 150% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 150%

n	vn	(1 + i)n	d	an|	sn|	ä8|	s8|	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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