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Can you explain “time value of money” and “compound interest” and provide examples of each?
I will just explain the time value of money in general, descriptive terms and save the math for someone else. Imagine: You have half a million dollars. I'd like to borrow it all from you. I'll pay it all back, every penny, but no more. And I'll pay it back in about, oh, thirty years or so. (Imagine also that you can be 100% sure that I'll pay it back.) Does this sound like a good deal? Not really. Why not? Well, you could do something with that sort of money. With that sort of money, you could do a lot of things for 30 years. You could buy a nice house and live in it for 30 years and save yourself from spending a lot of money on rent during that time (or save money on interest by paying off a mortgage early) even if the price of the house goes nowhere. If you already had a house, you could do some home improvement, like insulate the place better (to save on heating bills) or even just on something that you're going to enjoy for part of those 30 years (a patio in the back yard). If you were feeling entrepreneurial, you could take that money and start a business. Or you could invest that money in the stock market, and get a lot more back.... and if that's too risky for you, just start a savings account and earn interest. And finally, in 30 years, the value of the dollar will be lower because of inflation, so it won't buy as much now as it will then. That's the time value of money. It's the opportunity cost of the best of the things that you could have done with that money during the time it was gone. When you take out a loan, your interest payments will depend in part on the time value of the money you're borrowing: the people making the loan could be investing that money somewhere else, like government bonds. (It will also depend on factors like the risk of default on the loan - this is why credit card debt is more expensive than debt like a mortgage that's backed by a big fat asset like a house which can be seized and sold if you happen to default.) This is how the Federal Reserve can affect interest rates across the economy by just buying or selling government bonds.