[Verse 1]
Picture every portfolio you could ever make
Stocks and bonds in different weights, what choices will you take?
Some are risky, some are safe, returns both high and low
But there's a special boundary line that every investor should know
[Chorus]
It's the Efficient Frontier, the optimal line
Maximum return for the risk you define
Mean and variance dancing together in time
On the Efficient Frontier, where the best portfolios shine
No portfolio beats it, it's perfectly designed
The Efficient Frontier, your investing guideline
[Verse 2]
Harry Markowitz showed the way with mathematics true
Plot the risk on X-axis, returns on Y-axis too
Every possible mix of assets creates a dot
But only certain combinations give you the best you've got
[Chorus]
It's the Efficient Frontier, the optimal line
Maximum return for the risk you define
Mean and variance dancing together in time
On the Efficient Frontier, where the best portfolios shine
No portfolio beats it, it's perfectly designed
The Efficient Frontier, your investing guideline
[Bridge]
Below the curve you're wasting opportunity
Above the curve is just impossibility
Diversification is the key to get there
Correlation matters, spread risk everywhere
Standard deviation measures how much prices swing
Expected return is the average gain that assets bring
[Verse 3]
Choose your risk tolerance, find your spot along the line
Conservative or aggressive, the frontier helps you shine
Mean-variance optimization finds the perfect blend
Where risk and return balance out, on the curve you can depend
[Chorus]
It's the Efficient Frontier, the optimal line
Maximum return for the risk you define
Mean and variance dancing together in time
On the Efficient Frontier, where the best portfolios shine
No portfolio beats it, it's perfectly designed
The Efficient Frontier, your investing guideline
[Outro]
From minimum variance to maximum return
The Efficient Frontier is the lesson you'll learn
Plot your path to wealth along this perfect curve
The Efficient Frontier gives you what you deserve