Home     Forum     401k     401k Rollovers     Crypto Forum
    Register   Login   Members   Search   FAQs     Recent Posts    



Calculate monthly loan payment with the 365/360 method.

Reply to topic
Money Talk > Credit & Loans

Author Thread
Vanhail
New Poster


Cash: $ 0.45

Posts: 2
Joined: 10 Jul 2009

Calculate monthly loan payment with the 365/360 method.  Reply with quote  

Anyone know what the formula is to calculate a monthly loan payment for the 365/360 method (Actual/360), when given the loan amount, rate and loan period?

Details below:

I'm trying to build a commercial loans calculator that uses the 365/360 method. I believe it is also known as Actual/360. So far it has proved to be extremely difficult. I've scoured the internet and all sorts of documentation for a formula to calculate the payment for 365/360, but everything is based on the 360/360 method.

What I am trying to calculate is:
Payment Amount
Balloon Payment Amount
Total Interest

By entering in:
Loan Amount
Interest Rate
# Payments

I already have a working calculator for 360/360, but I have no idea what the formula is to calculate a monthly payment for a 365/360 loan, the interests is compounded differently so the payment is always off.

I have an example of how 365/360 should be calculated from our old system.

Loan Amount: 119,979.17
Interest Rate: 6.25%
# Payments: 240

Payment Amount: 883.45
Balloon Payment Amount: 45318.13
Total Interest: 84339.13

The key is to calculate the loan payment, the rest can be calculated using it.
Any help is GREATLY appreciated.

Edit: changed 120,000 to 119,979.17.


Last edited by Vanhail on Mon Jul 13, 2009 5:25 pm; edited 2 times in total
Post Fri Jul 10, 2009 7:02 pm
 View user's profile Send private message
oldguy
Senior Member


Cash: $ 751.85

Posts: 3656
Joined: 21 May 2006
Location: arizona
 Reply with quote  

Van - if you multiply 365/360 x 6.25% = 6.337% , you will get your $883/m answer, as opposed to the $877/m answer of a normal amortization.

Not sure what you mean by the $45,318 balloon, or remaining balance? But that would be the balloon if you wanted a 15 year pay-off?
Post Sat Jul 11, 2009 6:57 pm
 View user's profile Send private message
Vanhail
New Poster


Cash: $ 0.45

Posts: 2
Joined: 10 Jul 2009

 Reply with quote  

quote:
Originally posted by oldguy
Van - if you multiply 365/360 x 6.25% = 6.337% , you will get your $883/m answer, as opposed to the $877/m answer of a normal amortization.

Not sure what you mean by the $45,318 balloon, or remaining balance? But that would be the balloon if you wanted a 15 year pay-off?


Thanks for the replies... This seems like it should work, but it doesn't quite do it for most of the examples. I forgot a detail =\ There is a potion of prepaid interest, this is paid up front so I believe the financed amount is 119,979.17. I believe this is used in the formula and not the full 120,000.

[image with link removed]

I actually have a working calculator with this formula. The problem is I do not know the formula for the Actual/365 method. AKA 365/360.
Post Mon Jul 13, 2009 5:28 pm
 View user's profile Send private message
oldguy
Senior Member


Cash: $ 751.85

Posts: 3656
Joined: 21 May 2006
Location: arizona
 Reply with quote  

Your eqn is

MP = (r + r / ((1 + r ) ^N - 1) x P

Try this -

MP = r / (1 - (1 + r )^-N ) x P

I tried to get your eqn to algebraically equal the textbook eqn - the first 'r' term in your eqn seems to be out of place. (Either that or my algebra is lacking.) Smile
Post Mon Jul 13, 2009 11:19 pm
 View user's profile Send private message
jacktom
Contributing Member


Cash: $ 7.60

Posts: 38
Joined: 18 Sep 2009
Location: pakistan
 Reply with quote  

I don't know if this is at all helpful
Post Fri Sep 18, 2009 10:24 pm
 View user's profile Send private message

Goto page 1, 2  Next
Reply to topic
Forum Jump:
Jump to:  
  Display posts from previous:      


Money Talk © 2003-2022

Crypto Prices