SOLUTION: What will be the future value in a year if $600 is invested at a rate of 15% compounded quarterly

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Question 434949: What will be the future value in a year if $600 is invested at a rate of 15% compounded quarterly
Found 3 solutions by mananth, amalm06, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Principal P = 600
Amount= A
years=n 1
compounded 4 times a year
Rate = 15.00 0.04
Amount = P*((n+r)/n)^n

Amount =600*(1+ 0.04)^1*4
Amount =600*(1+ 0.04)^4
600*(1.04)^4
Amount = $695.19

Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
FV = PV x [1+i/n]^nt
PV=600
i=0.15
n=4
FV=600x[1+0.15/4]^4=$695.19 (Answer)

Answer by ikleyn(53427) About Me  (Show Source):
You can put this solution on YOUR website!
.
What will be the future value in a year if $600 is invested at a rate of 15% compounded quarterly
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        The answer in the post by @mananth is correct,  but his intermediate formulas are wrong.
        Wrong formulas in his post can confuse a reader.

        To avoid confusing,  I place my solution here in the form as it  SHOULD  be presented.


Principal P =	600																		

years =	1									

compounded 4	times a year								

Rate =	15%	which means that the effective rate is  0.15%2F4  per quarter.


Future value = P%2A%281%2Br%2F4%29%5E4									
										
Amount = 600%2A%281%2B0.15%2F4%29%5E4 = 695.19  dollars.


ANSWER.  Future value in a year is  $695.19.

Solved and presented correctly.

----------------------

Again, I placed this my solution here to OVERLAY wrong formulas in the post by @mananth.


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I notice that it is just second time I see this inaccurate writing in a post by @mananth.
First time I noticed it under link
https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.432879.html

From these coincidences, and from many other coincidences that I saw, I conclude
that @mananth is not really a person (not a human), but a computer code (like a very early version
of an Artificial Intelligence), which generates all the posts/solutions under his nickname.

Simply, for his calculations, he (or it) uses a code with two decimals
for printing real numbers, which produces this permanent error in his posts.


So, similar to as @CPhill was a pseudonym for the AI version of January 2025,
exactly in the same way @mananth is a pseudonym for more earlier (and more primitive) version of AI.

It is a computer code, in short.