Mathematics of Individual Finance
People generally earn money because they want to spend it. If they save it, rather than spend it in the period in which it was earned, it is usually because they want it to spend in the future. However, for most people present consumption is more desirable than future consumption if only because the future is so uncertain. "Live and be merry, for tomorrow we may die," is a rationale used over the ages to justify the urge to buy now rather than deferring gratification to the future. For this reason, most of us would rather have a dollar today than a dollar a year from today, and must be given something extra to get us to defer gratification.
Looking at the transaction from the borrower's perspective, there are consumers and businesses (not to mention the deficit-ridden government) who really need that dollar today and who are willing to promise to pay back more than that dollar in the future. Businesses can invest borrowed funds in capital to create profits which are (hopefully) more than sufficient to repay the borrowed funds (principal) plus interest. Consumers and governments borrow for various reasons but are expected to have income in the future sufficient to repay principal and interest.
The Time Value of Money

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