Based on your financial expertise, provide your response or viewpoint on the given financial question or topic. The response format is open.

Can you explain “time value of money” and “compound interest” and provide examples of each?
Time Value of Money - The simple calculation for this is FV = PV * (1+r)^N which reads The Future Value is equal to the Present Value times 1 plus the interest rate multiplied by itself by the number of periods that will pass. A simple way to look at this is that if interest rates were 5%/yr a dollar would be worth (1.05)^N where N is the number of years passing.  The concept of compound interest cannot be separated from the above. Compounding is accounting for the interest on the interest that has accrued in prior periods. If I lend you a dollar at 6% simple interest for 30 years, you would pay me back $1 + $1.80 or $2.80. But - 1.06^30 = 5.74 so that dollar compounded at 6% annually for 30 years is $5.74. Quite a difference.  Often, the time value of money is discussed in light of inflation. A dollar today is not the same dollar as 30 years ago or 30 years hence. In fact, inflation has eroded the value of the dollar by a factor of 3 over the past 30 years. An average item costing $100 would now cost $300. So when one invests, at the very least they try to stay ahead of inflation and seek additional return for their risk.  One quirk of compounding is the "rule of 72." This rule states that if you divide the interest rate into the number 72 the result is the number of years to double. So 10% per year will take about 7.2 years to double, 8%, 9 years, etc. It's not 100% precise, but a good "back of napkin" calculation.  When people talk about the total payments over the thirty year life of a mortgage, they often ignore the time value of money. That payment even ten years from now has far less value than the same payment today.