150% Annuity Table for periods rounded to 4 digits

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

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Calculate v¹

vn  =	1
	(1 + i)n

v1  =	1
	(1 + 1.5)1

v1  =	1
	(2.5)1

v1  =	1
	2.5

v¹ = 0.4000

Calculate (1 + i)¹
(1 + i)¹ = (1 + 1.5)¹
(1 + i)¹ = (2.5)¹
(1 + i)¹ = 2.5000

Calculate d:

d  =	i
	1 + i

d  =	1.5
	1 + 2.5

d  =	1.5
	2.5

d = 0.6

Calculate a_1|

an|  =	1 - vn
	i

With n = 1 and i = 1.5, we get:

a1|  =	1 - v1
	1.5

We know from above that v¹ = 0.4000, so we get

a1|  =	1 - 0.4
	1.5

a1|  =	0.6
	1.5

a_1| = 0.4000

Calculate s_1|

sn|  =	(1 + i)n - 1
	i

With n = 1 and i = 1.5, we get:

s1|  =	(1 + i)1 - 1
	1.5

We know from above that (1 + i)¹ = 2.5000, so we get

s1|  =	2.5 - 1
	1.5

s1|  =	1.5
	1.5

s_1| = 1.0000

Calculate ä_1|

an|  =	1 - vn
	d

With n = 1 and d = 0.6, we get:

ä1|  =	1 - v1
	0.6

We know from above that v¹ = 0.4000, so we get

ä1|  =	1 - 0.4
	0.6

ä1|  =	0.6
	0.6

ä_1| = 1.0000

Calculate s_1|

We know from above that (1 + i)¹ = 2.5000 and d = 0.6, so we get

s1|  =	2.5 - 1
	0.6

s1|  =	1.5
	0.6

s_1| = 2.5

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 = 1 and a force of interest of 150%

a(1) = e^{1.5 x 1}
a(1) = e^1.5
a(1) = 4.4817

Using 150% interest rate

Calculate the various interest measurements

Compound Interest Function Values at 150%

n	vn	(1 + i)n	d	an|	sn|	ä1|	s1|	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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