Superphysics
Chapter 2b

# The Time Value of Money as an Effect of the Force of Capital

by Juan
##### November 3, 2023 2 minutes  • 296 words

The time value of money states that a dollar today is worth more than a dollar tomorrow. This is due to a few key reasons:

Potential to Earn Interest: If you have money now, you can invest it and earn interest or returns. A dollar tomorrow misses out on this growth opportunity. Inflation: Over time, inflation reduces the purchasing power of money. A dollar today buys more than it will in the future due to rising prices. Risk: There’s always a chance you won’t receive the promised future sum of money due to unforeseen circumstances. Money in hand is more certain. Practical Example

Imagine you have two options:

Option 1: Receive \$100 today. Option 2: Receive \$105 in one year. Even though \$105 seems like more, the time value of money tells us that \$100 is actually worth more today. Why?

You could invest the \$100 and earn interest, making it worth more than \$105 after a year. In a year, due to inflation, \$105 might not buy the same things \$100 does today. Key Formula:

TVM calculations often rely on these concepts:

Present Value (PV): The value of a sum of money today. Future Value (FV): The value of money at a specific point in the future, considering potential growth. Interest Rate (r): The rate of return you can earn on an investment Time (t): The number of periods (e.g., years) involved Why is TVM important?

TVM is a cornerstone of finance. Understanding it is crucial for:

Investment Decisions: Comparing potential investments to decide which ones will earn the most money over time. Retirement Planning: Calculating how much you need to save today to have enough money in the future. Loan Evaluations: Analyzing the true cost of borrowing money, considering the interest paid over time.