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ELI5: how do bank loans work?

Main Post:

How do loans work?

I understand the gist of a loan but how do they compute the math to figure out your payment? If I wanted a $1,000 loan and it had a 10% interest rate, and the life of the loan was twelve months what would my monthly payment be? A Google search says $87.92 but where does this number come from?

Top Comment: Let's break it down. There are a few elements that need to be explained here. I'll change the numbers to make the math a bit simpler. How interest works: If you took out a $1,000 loan to be repaid in 1 payment in 1 year 12% annual interest, you would have to pay $1,000 * 1.12 = $1,120. $1,000 "principal", and $120 "interest." Monthly vs annual interest: There are a few different conventions for how this conversion can be made, but a common one with easier math is to just divide the interest rate by 12. So a 12% annual interest rate becomes a 1% monthly interest rate. Paying down principal: You can make a table showing how interest and principal are paid, like this, for a 1 year loan of $1,000 paid monthly at 12% annual interest. Interest is the beginning balance multiplied by the monthly interest rate (which we calculated as 1% in step 2). Principal paid is the payment minus interest. Abbreviated table below: Month | Beginning Balance | Payment | Interest Paid | Principal Paid | Ending Balance | 1 | $1000 | $88.85 | $10.00 | $78.85 | $921.15 | 2 | $921.15 | $88.85 | $9.21 | $79.64 | $841.51 | ... | ... | ... | ... | ... | ... | 11 | $175.07 | $88.85 | $1.75 | $87.10 | $87.97 | 12 | $87.97 | $88.85 | $0.88 | $87.97 | $0.00 4) Okay, but how do you calculate the payment? Very basic answer: So, essentially you're solving for X, where X is the payment that makes the balance end at 0. A less basic answer: There's a formula: Payment = Present Value / [[1-1/(1+interest rate)^-Num. of periods] / interest rate] How is this derived? Well, it's pretty mathy but the key insight is that the payment stream is a geometric series which can be simplified. If you're interested it's a lot easier to look it up with google because writing these formulas is a huge pain on reddit and is not very readable.

Forum: r/explainlikeimfive

ELI5 How American student loan debt works

Main Post:

I saw a post saying that two people left school 23 years ago with a combined debt of 70k. They paid 500 USD monthly for 23 years and still owe 60k.

I'm thoroughly confused. obligatory not from America.

Top Comment:

Some payment plans have a required monthly payment that may be less than the interest charged each month, particularly for income based/driven plans for someone with a low income, and before the new SAVE plan.

This may result in a total balance that increases over time.

There are also situations such as reentering school or certain changes that add any existing interest to the principal balance

Forum: r/explainlikeimfive

Payday loans on Ontario Works

Main Post:

Does anyone know of a payday lender in Ontario that excepts Ontario Works as Income tia

Top Comment:

Please avoid payday at all costs. Nothing is worth the hell that a payday loan will become.

Forum: r/OntarioWorks

Student loan forgiveness, how it works

Main Post:

What do you think?

More context.. https://www.facebook.com/share/p/FRua7Xw1suJfq1zU/?mibextid=WC7FNe

Top Comment: Love this. It's direct, simple, and makes a great argument. I paid off my loans over a decade ago. But I still want to see this help others that need it desperately.

Forum: r/kansas

Can someone explain how sigma.fi lending works

Main Post: Can someone explain how sigma.fi lending works

Forum: r/ergonauts