First of all, which would you rather have? $100 today? Or $100 a year from now? Most of us would answer "today" as having that money today would be worth more to us. A bird in the hand is worth two in the bush, so to speak. A year from now, that same $100 might not be worth as much because of inflation, or market risk, or hurricanes, or whatever. But if we have the money today, we can save it and earn interest.
If we were to take the $100 and put it in a savings account today at the exorbitant interest rate of 5%, we would have $105 next year. That is the future value of the money.
In contrast, if we planned on having $105 next year and wanted to know how much it was worth today, weu would reverse the process. The present value would be $100.
Hope that helps!