Help on loan repayments, please

I have loaned £90,000 from my Father, I am to pay interest only on this amount. At 5%, for example, how do I calculate how much interest to pay him every month? Thanks for any any help and advice you can give.

Reply to
Andrew
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It depends on the fine print in the agreement, but there probably isn't any.

The simplest thing is to assume 5% per year means a twelfth of 5% each month. If so, divide 0.05 by 12 and multiply the result by £90,000.

The more complicated option is to assume the intended monthly rate was that rate which would compound monthly to give an annual rate of 5%. In that case, take the 12th root of 1.05, subtract 1, and multiply by £90,000. This is a little harder, but will save you £100 a year. I wouldn't recommend it, as it would be perceived as taking an arm when offered a hand.

Reply to
Ronald Raygun

it depends on how often interest is calculated, either pay 0.382 per cent per month 43.80 or pay 4500 divided by twelve = 375

mrcheerful

Reply to
mrcheerful

mrcheerful

How do you get 0.382 percent?

Reply to
Ronald Raygun

divide the annual amount by 13.1 I don't know the maths for arriving at this amount, but worked it out from trying to match up credit card monthly payments with annual rates, so if the interest is 2 percent per month this will equal 26.2 percent over a year.

As this is a family loan I would offer the 4500 divided by twelve. And please, OP, get it in writing and agreed and signed and witnessed as things like this are a pain when someone dies or throws a strop or gets ill etc.

mrcheerful

Reply to
mrcheerful

Oh my God.

It doesn't work the same for different rates, though.

With the card, if the monthly rate is 2%, i.e. if the monthly growth factor is 1.02, then the yearly growth factor is 1.02^12 which is

1.2682 so the annual rate is 26.82%. That's not quite 26.2 but you must have worked with approximate data. If the monthly rate is 1.956%, for example, which is near as dammit 2%, then the annual rate is 26.22% which is close enough to 26.2%.

But to get 5% for the year you need about 0.407% per month because

1.00407^12 is 1.04995.
Reply to
Ronald Raygun

so that would give interest of 4995 and a monthly payment of 416.25 over the year, as opposed to 4500 (375 a month) if the interest is added in one lump.

So it comes down to what agreement is reached !

I agree 13.1 is a rough and ready reckoner, but it works accurately enough for quick comparisons (I find)

mrcheerful

Reply to
mrcheerful

Back to the calculator, sonny. I make it £4395.60 and £366.30.

No, it is not accurate at all, except to a very coarse precision. The only reason it works is that it happens to be in roughly the right ballpark. Notice how 5/0.407 is roughly 12.3. All these numbers you would expect to be in the vague vicinity of 12, because there are 12 months in the year.

Reply to
Ronald Raygun

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