150% Annuity Table for periods rounded to 4 digits

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

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Calculate v³

vn  =	1
	(1 + i)n

v3  =	1
	(1 + 1.5)3

v3  =	1
	(2.5)3

v3  =	1
	15.625

v³ = 0.0640

Calculate (1 + i)³
(1 + i)³ = (1 + 1.5)³
(1 + i)³ = (2.5)³
(1 + i)³ = 15.6250

Calculate d:

d  =	i
	1 + i

d  =	1.5
	1 + 2.5

d  =	1.5
	2.5

d = 0.6

Calculate a_3|

an|  =	1 - vn
	i

With n = 3 and i = 1.5, we get:

a3|  =	1 - v3
	1.5

We know from above that v³ = 0.0640, so we get

a3|  =	1 - 0.064
	1.5

a3|  =	0.936
	1.5

a_3| = 0.6240

Calculate s_3|

sn|  =	(1 + i)n - 1
	i

With n = 3 and i = 1.5, we get:

s3|  =	(1 + i)3 - 1
	1.5

We know from above that (1 + i)³ = 15.6250, so we get

s3|  =	15.625 - 1
	1.5

s3|  =	14.625
	1.5

s_3| = 9.7500

Calculate ä_3|

an|  =	1 - vn
	d

With n = 3 and d = 0.6, we get:

ä3|  =	1 - v3
	0.6

We know from above that v³ = 0.0640, so we get

ä3|  =	1 - 0.064
	0.6

ä3|  =	0.936
	0.6

ä_3| = 1.5600

Calculate s_3|

We know from above that (1 + i)³ = 15.6250 and d = 0.6, so we get

s3|  =	15.625 - 1
	0.6

s3|  =	14.625
	0.6

s_3| = 24.375

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 = 3 and a force of interest of 150%

a(3) = e^{1.5 x 3}
a(3) = e^4.5
a(3) = 90.0171

Using 150% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 150%

n	vn	(1 + i)n	d	an|	sn|	ä3|	s3|	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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