Time Value of Money Explained with Real Apartment Math

Avadhut

If there’s one concept in finance that quietly rules everything—from valuations to M&A to investment decisions—it’s this:

Money today is worth more than money tomorrow.

That’s it.
Simple sentence.
But it changes everything.

Most textbooks explain it with equations…
…but equations don’t stick.

Stories do.

So let me walk you through the real way I learned the time value of money—not from an MBA classroom—but from almost losing thousands of dollars trying to rent an apartment in Boston.

The Time Value of Money: The Big Idea

Before we jump into the story, let’s set the stage.

Why is $100 today worth more than $100 one year from now?

Because:

  • You can invest it.
  • You can earn something on it.
  • You can turn $100 → $105 → $110 → more, depending on your return.

Inflation matters, yes…
but the real driver is opportunity cost—what you could have earned with that money if you hadn’t locked it up.

How a Simple Apartment Deal Taught Me More Than Any Textbook

A few years ago, I spent a year working in Boston.
Beautiful city.
Terrible real estate prices.

When I went apartment hunting, one particular landlord gave me two rental options—very similar to the Korean system but with a U.S. twist.

Let’s call them Option A and Option B.

Option A: “Give Me a Huge Deposit and No Rent”

  • Apartment valuation: $220,000
  • Up-front deposit: $160,000 (yes, landlords in older Boston brownstones sometimes do this)
  • Monthly rent: $0
  • Deposit returned after 2 years

On paper it looks amazing:

Pay nothing monthly → get all your money back later.
Seems like you lose nothing, right?

Not so fast.

Option B: “Smaller Deposit, But You Pay Monthly Rent”

  • Deposit: $12,000
  • Monthly rent: $1,200
  • Rent over 24 months: $28,800
  • Deposit returned at the end

At first glance, Option B looks awful:

“Why would I pay $28,800 when I could pay nothing?”

And that is exactly how most people analyze it…
…and exactly why most people misunderstand finance.

Why Everyone’s Intuition Was Wrong

The problem?

People compare cash lost only, not cash lost + opportunity cost.

Let’s break this down like an analyst.

Step 1: The Real Cost Difference Isn’t $160,000

Because Option B also requires a deposit.

So the extra money you’re locking away in Option A is:

$160,000 – $12,000 = $148,000

That $148,000 could be:

  • invested in index funds,
  • put into Treasury bills,
  • used for real estate syndications,
  • or just parked in a 5% high-yield account.

Step 2: What Could That $148,000 Earn?

Let’s say you believe you can earn:

  • 8% per year in the stock market
  • (not unrealistic over long periods)

Then:

Lost earnings in Year 1:

$148,000 × 8% = $11,840

Lost earnings in Year 2:

You lose earnings on the deposit plus the earnings you didn’t earn in Year 1:

($148,000 + $11,840) × 8% = $12,774

Total opportunity cost over 2 years:

$24,614

Now compare:

  • Option A (lost opportunity): $24,614
  • Option B (rent paid): $28,800

At 8% returns, Option A actually wins.

But…

What’s the Breakeven Return?

Here’s where Excel comes in.

If you use Goal Seek, and set:

  • Total lost opportunity in Option A
    = $28,800 (the rent in Option B)
  • Solve for the return %

Excel spits out a number close to:

9.5%

This is the breakeven opportunity cost.

Meaning:

  • If you can earn more than 9.5% elsewhere →
    Choose Option B (low deposit + rent).
  • If you’ll earn less than 9.5%
    Choose Option A (high deposit, no rent).

This is the real decision—not “rent bad, big deposit good.”

The Real Lesson: Present Value Is Everything

Whenever you see:

  • “You’ll get $150K in 2 years,”
  • “You’ll earn $500K in 5 years,”
  • “You’ll receive dividends in 10 years,”

You must discount those cash flows to today.

Because:

money tomorrow ≠ money today

And the discount rate is simply:

your opportunity cost

Key Takeaways (The Analyst Cheat Sheet)

1. Money today > money later. Always.

Because of what it can earn.

2. Compare all investments to your “next best alternative.”

That’s the definition of opportunity cost.

3. High deposits seem safe—but can destroy returns.

Locking money is often more expensive than paying rent.

4. Present value rules every financial decision.

You are always comparing:

“What I earn here vs. what I could earn elsewhere?”

5. Goal Seek is your best friend.

It helps you find breakeven returns instantly.

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Author Photo

Avadhut

Avadhut founded FinanceWalk in 2007 to mentor finance professionals. With expertise in equity research, business valuation, and financial analysis, he helps bridge the gap between theory and industry. Through FinanceWalk, he’s guided thousands into careers in investment banking, corporate finance, and equity research with practical training and mentorship.

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