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Using TVM on Financial Calculator

Posted on 8/4/15 at 10:49 am
Posted by Cmlsu5618
Destin, FL
Member since Sep 2010
3763 posts
Posted on 8/4/15 at 10:49 am
I'm embarrased to say I can't seem to figure this out.

Anyways; here's the situation. I want to calculate a simple interest annual rate of return of 2% over a 3 year period.

The initial loan amount is $3,200, and payments will be monthly. I can't seem to remember exactly how to adjust the P/Y, I/Y, & N to get the right numbers.

Again, I don't want to RoR to be compounded or amortized. Just a level payment 2% RoR on the initial outlay. Before you jump on me, this is a below market rate loan for family.

Thanks folks.
Posted by Cmlsu5618
Destin, FL
Member since Sep 2010
3763 posts
Posted on 8/4/15 at 10:49 am to
It shouldn't matter, but I'm using a BA II Plus.

I also know that I can simply take 2% X $3,200 and do some basic arithmetic. But I'd like to refresh myself on how to use TVM if anyone can help.
This post was edited on 8/4/15 at 10:53 am
Posted by southernelite
Dallas
Member since Sep 2009
53125 posts
Posted on 8/4/15 at 10:56 am to
Use 2/12 for I/Y

Use 3*12 for N


There are other ways to do it, but that's the simplest.
Posted by Cmlsu5618
Destin, FL
Member since Sep 2010
3763 posts
Posted on 8/4/15 at 12:09 pm to
That brings PMT to 91.50.

36 PMTs of 91.50 is a total P&I of 3,294. In that scenerio the RoR is 2.94% over the 3 year period, which is right under 1% annually.

I'm missing something here.


ETA:
So I used 6%/12 as the i/y since I'm looking for the 2% average annual return. The APR still comes out right under 3%. I'm assuming the TVM is just compounding?
This post was edited on 8/4/15 at 12:18 pm
Posted by southernelite
Dallas
Member since Sep 2009
53125 posts
Posted on 8/4/15 at 1:05 pm to
The effective will be different. 2% APR compounded monthly.
Posted by southernelite
Dallas
Member since Sep 2009
53125 posts
Posted on 8/4/15 at 1:08 pm to
If you just 2% compounded annually just put

I/Y - 2
N - 3

That should get you where you're going.

I may have misunderstood what you were going for the first time.
Posted by yellowhammer2098
New Orleans, LA
Member since Mar 2013
3850 posts
Posted on 8/4/15 at 1:31 pm to
quote:

If you just 2% compounded annually just put

I/Y - 2
N - 3

That should get you where you're going.



Also make sure P/Y is 1 in that situation correct?
Posted by Cmlsu5618
Destin, FL
Member since Sep 2010
3763 posts
Posted on 8/4/15 at 1:43 pm to
Correct me if I'm wrong, but the i/y would need to be 6, not 2, if I wanted an annual RoR to be ~2%.
Posted by southernelite
Dallas
Member since Sep 2009
53125 posts
Posted on 8/4/15 at 2:57 pm to
The formula I gave will give you an effective rate of 2%
This post was edited on 8/4/15 at 3:22 pm
Posted by southernelite
Dallas
Member since Sep 2009
53125 posts
Posted on 8/4/15 at 3:10 pm to
Yeah, I usually divide the interest by the number of periods compounded and multiply the N by the same number instead of change the I/Y so I never change the settings of my calcutor
Posted by Cmlsu5618
Destin, FL
Member since Sep 2010
3763 posts
Posted on 8/4/15 at 3:39 pm to
I don't think I'm explaining this correctly. Let's say I use your info..

n: 3
i/y: 2
pv: -3,200
fv: 0
P/Y: 1

Calculate PMT= 1,087.86

Multiply the annual payment by three years, and you get a total P&I of 3,263.57, which means positive net interest of 63.57.

63.57 of interest is 2% of the original loan, but that is a 0.66% annual rate of return. That's why i/y has to be 6% to get an annualized ~2% return.

When i/y is 6%, you get annual payments at 1,129.39, or $3,388.16 of total P&I. Positive net interest of 188.16 which is right around 2% when annualized ($62.72 each year). Correct me if I'm wrong.
This post was edited on 8/4/15 at 3:43 pm
Posted by southernelite
Dallas
Member since Sep 2009
53125 posts
Posted on 8/4/15 at 4:29 pm to
~62/3 = 21
3200/3 = 1066

21/1066 = ~2%
Posted by Cmlsu5618
Destin, FL
Member since Sep 2010
3763 posts
Posted on 8/5/15 at 10:25 am to
I'm still not seeing it. Why would you divide the annual interest by 3? That's not total interest.

For the record, it wasn't my downvote.
Posted by southernelite
Dallas
Member since Sep 2009
53125 posts
Posted on 8/5/15 at 10:34 am to
You're right, I just got confused. I compounded 3 times for each year, whereas you didn't compound any. Just an assumption I made that wasn't what you were looking for.
This post was edited on 8/5/15 at 10:45 am
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