Welcome to Trading Strategies!

Hello there! Today, we are diving into one of the most exciting parts of the FRM Part I curriculum: Trading Strategies. This chapter is like a toolkit for investors. Instead of just buying or selling a stock, you’ll learn how to combine different financial instruments (specifically options) to create a strategy that fits a specific market view. Whether you think the market will go up, down, or stay completely still, there is a strategy for you!

Why is this important? In risk management, we don't just look at "win or lose." We look at how different positions interact. By the end of this note, you’ll understand how to build "payoff profiles" that limit losses while still allowing for gains.


1. The Basics: Principal-Protected Notes (PPNs)

Before we jump into complex spreads, let’s look at a common product called a Principal-Protected Note. Don't worry if the name sounds fancy; it’s actually quite simple.

A PPN is designed for "safe" investing. It guarantees that you will get your initial investment back (the principal) while still giving you some "upside" if the market does well. It usually consists of two parts:
1. A Zero-Coupon Bond (to ensure you get your money back at maturity).
2. A Call Option (to give you the profit if the market rises).

Example: Imagine you invest \$1,000. The bank buys a zero-coupon bond for \$950 that will grow to \$1,000 in one year. They use the remaining \$50 to buy a call option on the S&P 500. If the market crashes, you still get your \$1,000 from the bond. If the market soars, your call option makes you extra money!

Quick Tip: For a PPN to work, the cost of the bond + the cost of the option must be less than or equal to the initial investment. If interest rates are very low, PPNs become more expensive to create because the zero-coupon bond costs more.


2. Spread Strategies: Building Your Payoff

A "spread" involves taking a position in two or more options of the same type (e.g., all calls or all puts). Think of this like "bracketing" your risk.

A. Bull Spreads

You use a Bull Spread when you expect the stock price to rise moderately. You want to profit from an increase, but you want to lower the cost of the trade by giving up some of the potential "moonshot" gains.

How to build it:
1. Buy a call with a low strike price (\(K_1\)).
2. Sell a call with a higher strike price (\(K_2\)).

The Logic: Selling the second call brings in "premium" (cash), which helps pay for the first call. However, if the stock goes above \(K_2\), your profit stops growing.

Key Takeaway: Maximum profit is \((K_2 - K_1) - \text{Net Premium Paid}\). Maximum loss is just the net premium paid.

B. Bear Spreads

As the name suggests, you use this when you expect the price to fall moderately. It is the mirror image of a bull spread.

How to build it (using puts):
1. Buy a put with a high strike price (\(K_2\)).
2. Sell a put with a lower strike price (\(K_1\)).

Common Mistake: Students often confuse which strike is higher. Just remember: Bull = Buy the lower strike. Bear = Buy the higher strike.


3. Butterfly Spreads: The "Stability" Play

A Butterfly Spread is a great strategy if you think the stock price will stay very close to its current price. It’s a neutral strategy.

How to build it (using 4 calls):
1. Buy 1 call at a low strike (\(K_1\)).
2. Buy 1 call at a high strike (\(K_3\)).
3. Sell 2 calls at a middle strike (\(K_2\)).
Note: \(K_2\) is usually halfway between \(K_1\) and \(K_3\).

Did you know? It’s called a "butterfly" because the middle strike represents the body, and the two outer strikes represent the wings. You make the most money if the stock price stays right at the "body" (\(K_2\))!

Key Takeaway: This strategy has limited risk and limited reward. It is perfect for a "boring" market.


4. Calendar Spreads: Playing with Time

So far, we’ve looked at options that expire at the same time. A Calendar Spread uses options with different expiration dates but the same strike price.

The Strategy: Sell a short-dated option and buy a long-dated option.
The Logic: Options lose value faster as they get closer to expiration (this is called "time decay"). The short-dated option you sold will lose value faster than the long-dated one you bought, allowing you to profit if the stock price stays near the strike price.


5. Combination Strategies: Mixing Calls and Puts

Combinations involve both calls and puts in the same trade. These are usually bets on Volatility (how much the price moves), rather than direction.

A. The Straddle

A Straddle is for when you think a big move is coming, but you don't know which direction (e.g., right before an earnings announcement or a major court ruling).

How to build it: Buy a Call and Buy a Put with the same strike price and same expiration date.

Result: If the stock goes way up, the call makes money. If it goes way down, the put makes money. You only lose if the stock stays flat (because you paid for two premiums).

B. The Strangle

A Strangle is similar to a straddle, but cheaper. You buy a call and a put with different strike prices (usually both are "out-of-the-money").

How to build it: Buy a call with a high strike (\(K_2\)) and a put with a low strike (\(K_1\)).
The Trade-off: It costs less than a straddle, but the stock has to move even further for you to make a profit.

Analogy: Think of a Straddle like a wide net. A Strangle is a narrower net—it's cheaper to buy, but you might miss the fish unless it’s a really big one!


6. Summary Table for Quick Review

Quick Review Box:
Bull Spread: Expect price increase. Buy low strike, sell high strike.
Bear Spread: Expect price decrease. Buy high strike, sell low strike.
Butterfly Spread: Expect no movement. 3 strikes involved.
Straddle: Expect BIG movement (either way). Same strike.
Strangle: Expect BIG movement (either way). Different strikes.


7. Final Tips for the Exam

1. Draw the Payoff Diagrams: If you get confused, sketch a quick graph. The horizontal axis is the Stock Price at maturity (\(S_T\)), and the vertical axis is Profit/Loss.
2. Net Cost: Always remember to subtract the premium you paid from your final payoff to find the actual profit.
3. Mnemonic for Spreads: "Buy Low for Bull" (Buy the lower strike for a Bull spread). "Buy High for Bear" (Buy the higher strike for a Bear spread).

Don't worry if these seem like a lot of "legs" to keep track of right now. Practice drawing the payoff for one call and one put separately, then try adding them together. You've got this!