How to suspect Payments on a Loan

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Mortgage Interest Calculation - How to suspect Payments on a Loan


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A lot of the time, we are given a consolidate variables and we want to infer the payments on a loan. For example, you are trying to finance a ,000 car at a 12% interest rate for 5 years. All you want to find out is how much your monthly payment is going to be and either or not you can afford that payment. Just a heads up - you will need a calculator to outline out these payments. Since you are probably on a computer right now, you can use the calculator on your computer, or you can use excel.

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How is How to suspect Payments on a Loan

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Lets use the example above and try to infer out your monthly payment. First, let's set some terms. Pv (Present Value) of the loan is going to be ,000. Your interest rate per year is going to be .12. However, since we are trying to infer out Monthly payments, we are going to want to turn this 12% per year into a monthly rate. This is as simple as dividing .12 by 12 which gives you .01 or 1%. Finally, we are going to want to define our estimate of payments, n. We know that it will be 5 years, but we need to turn that into months. simple as multiplying 5 by 12 which gives you 60 months.

Ok, so here are our variables:

Total estimate of payments: n=60

Interest: i=0.01

Present Value: pv=10000

The easiest way to infer payments is to use a spreadsheet on your computer like excel. Open up the program, plump a cell and type in the following exactly (without the quotes): "=Pmt(0.01,60,10000)". Hit enter. This will automatically infer out your monthly payment of "-2.44". This is what your monthly payment on your car loan should be, given those exact variables. I am sure that the loan you are trying to infer payments on has separate variables, so here is the equation using variables instead of values: "=Pmt(i,n,pv)". To infer payments on your loan, just replace the i with interest, n with estimate of payments and pv with the total loan amount.

Using excel to outline this out is by far the easiest way. Just plug your variables in and hit enter and you are finished. If you are deathly afraid of excel, you can use the old-fashioned formula. Take a look at it and maybe you might want to give excel a shot first:

Monthly payment = (pv) * (i/(1-(1+i)^(-n)))

Ok, let's solve this using our example:

Monthly payment = (10000) * (.01/(1-(1.01)^(-60)))

Monthly payment = (10000) * (.01/(1-0.55045))

Monthly payment = (10000) * (.01/.44955)

Monthly payment = (10000) * (0.022244)

Monthly payment = 2.44

So we get the same respond of your monthly payment being 2.44. Piece of cake!

What do we learn from this? You are buying a car for k and you only have to make monthly payments of 2.44 for five years to pay the thing off. Doesn't sound that unreasonable? Well if we add up all the monthly payments, we find that you ended up paying a total of ,346 for a ,000 car. And what is your car worth now? ,000? So by the time you pay the car off, you are out a total of over ten grand!

What would have happened if the financing selection had not been available to you? You might have bought something a diminutive more economical, say a car worth 00. Even if your car is now worth 0 now, you are still only out two grand instead of being out over ten grand!

Keep this in mind next time you infer payments on your loan!

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