150% Annuity Table for periods rounded to 4 digits

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

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Calculate v⁷

vn  =	1
	(1 + i)n

v7  =	1
	(1 + 1.5)7

v7  =	1
	(2.5)7

v7  =	1
	610.3516

v⁷ = 0.0016

Calculate (1 + i)⁷
(1 + i)⁷ = (1 + 1.5)⁷
(1 + i)⁷ = (2.5)⁷
(1 + i)⁷ = 610.3516

Calculate d:

d  =	i
	1 + i

d  =	1.5
	1 + 2.5

d  =	1.5
	2.5

d = 0.6

Calculate a_7|

an|  =	1 - vn
	i

With n = 7 and i = 1.5, we get:

a7|  =	1 - v7
	1.5

We know from above that v⁷ = 0.0016, so we get

a7|  =	1 - 0.0016
	1.5

a7|  =	0.9984
	1.5

a_7| = 0.6656

Calculate s_7|

sn|  =	(1 + i)n - 1
	i

With n = 7 and i = 1.5, we get:

s7|  =	(1 + i)7 - 1
	1.5

We know from above that (1 + i)⁷ = 610.3516, so we get

s7|  =	610.3516 - 1
	1.5

s7|  =	609.3516
	1.5

s_7| = 406.2344

Calculate ä_7|

an|  =	1 - vn
	d

With n = 7 and d = 0.6, we get:

ä7|  =	1 - v7
	0.6

We know from above that v⁷ = 0.0016, so we get

ä7|  =	1 - 0.0016
	0.6

ä7|  =	0.9984
	0.6

ä_7| = 1.6640

Calculate s_7|

We know from above that (1 + i)⁷ = 610.3516 and d = 0.6, so we get

s7|  =	610.3516 - 1
	0.6

s7|  =	609.3516
	0.6

s_7| = 1015.586

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 = 7 and a force of interest of 150%

a(7) = e^{1.5 x 7}
a(7) = e^10.5
a(7) = 36315.5027

Using 150% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 150%

n	vn	(1 + i)n	d	an|	sn|	ä7|	s7|	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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