Chapter 27: Risk Management & Financial Derivatives

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Welcome back to The Deep Dive.

Today, our mission is to, well, to take a deep breath and really confront uncertainty, that chaotic, volatile element that can just destroy a firm's value in a matter of hours.

Yeah, we're talking about corporate risk management.

Specifically focusing on the advanced financial tools that managers use to navigate things like interest rate shifts, commodity price spikes,

and all that currency volatility.

That's right.

And if you look back at history, I mean, success so often just depends on surviving the shocks.

And we're not talking about everyday business cycles here.

No.

We're talking a really severe economic disruptions, you know, wars,

currency crises, earthquakes.

Well, the one that's really vivid in our recent memory is the shocking speed and scale of the COVID -19 pandemic back in 2020.

Oh, the numbers from that period are just staggering.

I mean, US GDP dropped by nearly 10 % in just the second quarter alone.

And some sectors, like global air travel, saw declines of 90%.

Those external shocks, they don't just happen in a vacuum.

They demolish balance sheets.

They have a toolkit ready for these things.

Primarily, they prepare in, I'd say, two fundamental ways.

The first is building operational flexibility.

Okay.

What does that mean in practice?

It means ensuring you have diverse supply chains, maybe maintaining multiple facilities, or creating these built -in options to pivot your production if you need to.

Got it.

And the second way.

The second is using more conservative financing strategies.

So maintaining reserve borrowing power, holding liquid assets that can serve as emergency cash when financing markets suddenly seize up.

Okay.

So let's unpack this.

We've got operational resilience, conservative financing, both critical.

But our focus today is really on that third leg of the stool,

specialized financial contracts.

Right.

These instruments, insurance, futures, options, swaps, they're designed not to eliminate risk, but to transfer it, to pass it on to someone else who's maybe better equipped to handle it.

Or is just actively willing to take the other side of that bet.

And this brings us right away to the central paradox of corporate risk management.

This is something every manager has to grapple with.

Why bother managing risk with financial contracts at all?

I mean, why should the firm's executives dedicate time and resources to hedging interest rate exposure when the shareholders, the people who own the company, can easily diversify these risks away in their own portfolios?

Right.

If they don't like oil price exposure, they could just short oil futures themselves from their own brokerage account.

Precisely.

So this is the core paradox we really need to solve before we look at any of these tools.

We're diving deep into chapter 27 of the corporate finance playbook, which is all about understanding the rationale, the tools, and the mechanics of modern risk management.

So let's start exactly where that academic debate does, right?

In this world of perfect, efficient markets.

Yeah.

If we would just strip away all the real world complications, the whole reason for corporate hedging seems to just disappear.

So why, according to that theoretical benchmark, should hedging not add any value?

Well, the efficient market argument really rests on two main pillars.

The first one is the simple economic reality that hedging is a zero sum game.

Okay.

When a corporation hedges, it is simply passing that risk on to another party, a counterparty.

Can you give us a concrete example of that risk transfer?

Sure.

Think about a heating oil distributor who signs a contract with a refiner.

The distributor wants to lock in the price for next winter's oil.

So they're taking the long position.

They're taking the long position.

And the refiner agrees to sell that oil at a fixed price.

So they're taking the short position.

Now, neither of them knows what the price will actually be in January.

Right.

If the price spikes, the distributor wins, the refiner loses.

If it plummets, the refiner wins and the distributor loses.

But the overall net gain or loss across both of them is zero if we ignore transaction costs.

And crucially, in an efficient market, the terms are set up so the contract is fair for both sides from the get -go.

Exactly.

It has a zero net present value, a zero NPV at inception.

So if the transaction itself has a zero NPV, then the firm's total value shouldn't really change.

It shouldn't.

And the second powerful reason is what we call the investors do -it -yourself alternative, the DIY alternative.

Okay.

And this idea is really rooted in a shareholder irrelevance.

If a corporation hedges away its exposure to, say, rising gold prices, it's doing something that the shareholder could just do themselves, probably much more efficiently.

Yeah.

We actually saw this play out back in 1999.

European central banks announced they were limiting future gold sales.

And the price of gold just skyrocketed.

It did.

And investors who held shares in unhedged gold mining companies, well, they saw huge gains.

Yeah.

They were thrilled.

But the ones who owned shares in companies that had aggressively hedged their gold price exposure.

Not so happy.

Not so happy at all.

They had locked in a lower selling price so their stock prices didn't rise nearly as much.

And they were basically signaling to management, hey, we wanted that exposure.

If we didn't want it, we would have hedged it ourselves by selling gold futures.

This sounds almost exactly like the famous Modigliani and Miller irrelevance theorem.

It's a direct extension of it.

Just as M .M.

show that your capital structure, your mix of debt and equity, is irrelevant in perfect markets, the same logic applies here.

That's right.

If markets are perfect, corporate hedging is redundant.

The corporation is just duplicating a service that shareholders can provide for themselves, probably for free.

So that's the academic starting point.

Hedging policy is irrelevant.

So if hedging doesn't intrinsically add value,

why do nearly all large, sophisticated firms in the world use these financial contracts?

Because perfect markets don't exist.

It's as simple as that.

We have to turn our attention to the imperfections.

Exactly.

Risk management becomes incredibly relevant only because of the, you know, the other things that disrupt that perfect flow of capital.

Things like taxes, agency problems, and the devastating costs of financial distress.

Let's start with that last one.

Reducing cash shortfalls and avoiding financial distress.

That seems like the most compelling reason.

It really is.

I mean, financial distress, the costs of restructuring, bankruptcy, lost customer confidence, it's just crippling.

Hedging simplifies financial planning and it dramatically reduces the chance of landing in what you might call a financial pickle.

A situation where you're suddenly cash short.

Right.

And what's the real cost of that pickle?

I'm guessing it's not just about paying the bills.

No, the real cost is having to pass up a valuable, positive NPV investment opportunity simply for lack of funds.

Maybe a mining company needs to raise a hundred million for a great new project, but a sudden currency shock has just halved its operating cash flow and now the banks won't lend.

That lost opportunity is a direct hit to shareholder value.

It's a direct reduction.

So hedging stabilizes your cash flows, which ensures the company always has the internal funds or the borrowing power it needs to invest when good opportunities come along.

It keeps that investment pipeline funded.

I see.

And it's not just a theory, right?

Banks actually push for this.

Absolutely.

It's borne out by lending practice all the time.

Banks and bondholders often require firms to carry insurance or implement hedging programs before they'll extend credit.

They recognize that hedging and conservative financing are, in a way, substitutes for each other.

That distinction you drew earlier seems really critical here.

The idea that the firm's investment opportunity profile matters a ton.

It's everything.

Let's contrast those two hypothetical companies again.

Cirrus Oil and Cumulus Pharmaceuticals.

Okay.

Cirrus Oil is an energy producer.

Right.

And it's investment opportunities, finding and developing new oil fields.

They naturally expand when oil prices are high.

Exploration becomes more profitable.

And they contract when prices fall.

Exactly.

So if Cirrus decides to hedge its revenue, locking in a fixed oil price, what happens?

They've broken the link.

They've completely decoupled their cash flow from their opportunity set.

If prices spike, Cirrus has tons of great investment opportunities, but their hedged revenue stream means they don't have enough cash to pursue them.

And if prices fall.

They have ample cash from the hedge, but suddenly their opportunities have all dried up.

So for Cirrus Oil, hedging is a bad idea.

Their operational success is naturally tied to the price risk.

Precisely.

Hedging would be strategically counterproductive for them.

Now, what about Cumulus Pharmaceuticals?

Their core investment is R &D.

Long -term, expensive R &D that has to run continuously.

They can't just stop their clinical trials because a short -term blip in the euro -dollar exchange rate has cut their quarterly revenue.

You're right.

Their investment opportunities are totally independent of those short -term currency shocks.

So Cumulus should hedge its foreign exchange exposure.

Stabilizing their cash flows allows them to maintain stable, long -term funding for R &D.

It ensures they don't jeopardize crucial multi -year positive NPV investments just because of some external financial volatility.

That makes perfect sense.

Okay.

Another imperfection you mentioned was mitigating agency costs.

How does hedging help with that?

How does it serve as a better monitoring tool?

Well, it isolates risks that are outside of the manager's control, which makes performance evaluation much, much simpler.

Okay.

Imagine a division manager whose bonus depends on her division's profitability.

If her division's profits surged by 60%,

but this happened in a year when the price of their main raw material, let's say,

That sounds like a very difficult conversation to have bonus time.

It is.

But if the firm had hedged the cocoa price fluctuations, then the manager's profit increase is clearly because of operational efficiency, smart resource allocation,

good management.

It makes it easier to reward or penalize them for things they can actually control.

Exactly.

It aligns their incentives with true operational excellence.

And this often gets formalized inside big companies, right, with these internal markets.

Yes, exactly.

Divisions are often allowed to hedge internally with the central treasurer's office.

And that centralization is crucial for a couple of reasons.

First, it lets the treasury cancel out opposing risks internally.

So one division is long euros, another is short euros, and they just net it out.

Right.

And second, and this is just as important, it prevents operating managers, who are generally amateurs in derivatives trading, from speculating.

It removes that temptation for a divisional manager to try to boost a flagging year -end bonus by taking some unauthorized, desperate, speculative bet.

And all of this strategic need for centralization and coordination,

that's what led to the rise of the chief risk officer, the CRO.

It did.

The CRO's job is to define the firm's overall risk strategy.

They have to address three core questions.

First, what are the major risks the company faces?

Are they minor setbacks or are they potentially bankrupting events?

You have to prioritize.

You have to.

Second, and this is more philosophical, is the company being paid for taking these risks.

The whole strategy is to reduce your exposure to risks you get no compensation for, like currency fluctuations, so you can afford to take bigger compensated bets, where you have a real comparative advantage, like exploratory drilling.

So you're reducing unrewarded financial risk to take on more rewarded operational risk.

Oh, that's the perfect way to put it.

And third, how should these risks be controlled?

Is the answer operational flexibility,

a change in financial leverage.

Or using these insurance and hedging contracts.

And the evidence really confirms this is widespread practice.

We're not talking about some niche financial engineering anymore.

No, not at all.

Surveys of the world's 500 largest companies show massive usage.

Something like 83 % use derivatives for interest rate risk, 88 % for currency risk.

And other studies, say on oil and gas producers, found that the firms that hedge the most also tended to have high debt ratios.

Which suggests they're doing it specifically to handle that debt and reduce the chance of financial distress.

It reinforces that core argument.

It's the market imperfections that are ultimately driving the value.

Let's pivot to insurance, which is probably the oldest and most intuitive form of risk transfer.

Most companies insure against fire, accidents, theft.

Right.

And the key advantage an insurance company has is its ability to pool all of those risks.

That's the core mechanism.

They specialize in estimating the probability of a loss, sure.

But their real economic function is pooling.

While the claims on any single policy are highly uncertain.

I mean, will your office building burn down?

The claims across a massive portfolio of policies become very stable and highly predictable.

But as we established, they can't pool or diversify away market risk or macroeconomic risk like a global recession.

No, they can't.

And that's why firms generally use insurance to reduce their diversifiable risk.

The risks that are specific to that firm or that location.

Okay.

So let's go back to that NPV paradox, but for insurance.

We have the example of a $1 billion offshore oil platform with a tiny one in 10 ,000 chance of being destroyed.

So the expected statistical loss is only $100 ,000.

Right.

But the premium is going to be substantially higher.

So why is an insurance a zero NPV deal?

Well, the premium is always going to be higher than the expected loss because the insurer has costs and faces specific risks that are just inherent to the insurance business itself.

Like what?

What are those costs?

First, you've got administrative costs.

Arranging policies, marketing, handling claims and the inevitable legal disputes, especially over complex things like environmental damage.

All of that is expensive.

So that gets folded into the premium.

It does.

Secondly, you have the problem of adverse selection.

Adverse selection.

That means the people who are most likely to need insurance are the most eager to buy it.

Exactly.

The worst risks are the most eager.

If an insurer can't perfectly distinguish between a good risk, like a well -maintained facility and a bad risk, a dilapidated one, they have to raise the premiums for everyone.

It's like a life insurance company offering a no medical exam needed policy.

The people who rush to buy it are probably not the healthiest bunch.

Exactly.

They suspect they have health issues.

They're high risk.

So the insurer has to price that policy accordingly high for everybody.

Which penalizes the low risk policy holders.

It does.

And third, you've got the danger of moral hazard.

This is the idea that once you're insured, you might not be as careful.

Right.

The owner is naturally tempted to take fewer precautions.

Why spend a ton on costly safety features or maintenance if the insurance company is going to foot the bill if a disaster strikes?

So the insurer has to price that in too.

They do.

They build that potential cost into their pricing.

Sometimes they'll counter it by requiring monitoring or engineering studies or by imposing a deductible.

So when all three of those costs, admin, adverse selection, moral hazard or small,

insurance gets closer to a zero NPV deal.

But when they're large, it's a costly but maybe necessary protection.

And this leads us to the limits of traditional insurance, especially when you're facing these huge jump risks or catastrophe risks.

Right.

Things like the World Trade Center attack, which cost insurers about $36 billion.

Or massive hurricanes like Katrina, Harvey, Irma.

Each costing $40 billion or more.

No single insurer can pool or hold on to that level of catastrophic exposure.

So how do they get that truly massive low frequency risk off their books?

They share it with the global capital markets through an innovation called catastrophe bonds or cap bonds.

Okay.

How do those work?

An insurance company like Allstate will issue these bonds to investors.

And the innovation is in the cash flow structure.

What's the catch for the investor buying one of these?

The catch is if a specified catastrophe occurs, say, an earthquake of a certain magnitude or a named storm hitting a defined area,

the interest payments or even the principal repayment on that cap bond is reduced or completely eliminated.

So the bondholders are taking on that extreme low probability, high impact risk.

They are in exchange for an above market interest rate.

And if the disaster hits, the insurer just keeps the cash they would have used for debt service and uses it to cover their losses.

It lets the insurance industry spread these huge disaster losses really widely across the global capital market.

Okay.

So moving from physical risks to financial price risks, like commodities or currencies, firms often turn to options.

And the key feature of an option, what really distinguishes it, is that it limits your loss, but it keeps the upside open.

You pay a premium for the right, but not the obligation to do something.

And a great textbook example of the strategic use of options is the Mexican oil hedge.

Right.

The Mexican government relies heavily on Pemex, the state oil company, for revenue.

Heavily.

So a big drop in oil prices would just disrupt their entire national budget.

It could lead to massive fiscal distress.

So what's the specific strategy they use?

Year after year, Mexico engages in this massive, often secretive transaction.

They buy put options, which is the right to sell on hundreds of millions of barrels of oil at a specific exercise price.

In one year, for example, they bought options on about 250 million barrels at an exercise price of $55 a barrel.

Okay.

So let's visualize the outcome here, because this is really why options are so powerful.

If the oil price rises to, say, $65,

what happens?

Mexico is thrilled.

The revenue from Pemex is high.

The option itself just expires worthless.

So they just sell their oil on the open market at the high price?

They do.

The only cost is the initial premium they paid for that put option.

And in some years, that's been reported to be around $1 .2 billion.

That's their annual insurance policy fee.

Okay.

But what if the price crashes to $45?

That's where the put option kicks in.

Their revenue from Pemex drops, but the options payoff rises as soon as the price goes below $55.

Because the option gives them the right to sell at $55.

Right.

So for every barrel they sell at $45 on the spot market, they make $10 on the option.

So when you combine the two, the physical revenue and the option payoff, you've created a revenue stream with a hard floor of $55 a barrel.

Exactly.

Your revenue goes up for every dollar.

The price rises above $55.

But it absolutely cannot fall below that $55 floor.

This is the classic protective put strategy.

It's pure unadulterated downside protection.

Okay.

So how would this work in reverse?

For a firm that's worried about costs, not revenues, say a crude oil refiner.

A refiner's main worry is unexpectedly high crude oil prices because that's their raw material cost.

And it squeezes their margins.

It does.

So to hedge, the refiner would buy call options, the right to buy oil at a specific exercise price.

So if the market price spikes above that call's exercise price, the refiner just exercises the option and buys the raw material on the cheap.

Exactly.

The profits they make on that call option will offset the higher cost of buying crude on the spot market.

And if the price falls, well, they just let the option expire and buy cheap oil.

It provides a ceiling on their input costs.

Options are great for that kind of asymmetric protection, but you have to pay a premium.

If a firm just wants to lock in a price for a transaction, they turn to forward or futures contracts.

Right.

Which is a zero premium alternative.

Yeah.

But you do have to sacrifice the upside.

Let's start with a simple forward contract.

What is that?

A forward contract is a bespoke bilateral agreement between two parties to buy or sell an asset at a fixed price today, but with payment and delivery happening at some specified date in the future.

Okay.

Let's use our example of Arctic fuels, the distributor who needs heating oil next January,

and Northern refineries, the producer.

Right.

They agree in September that Arctic will buy 1 million gallons from Northern at $2 .40 a gallon in January.

That $2 .40 is the forward price fixed today.

And the immediate price for delivery today would be the spot price.

Right.

Arctic, who's agreeing to buy, has the long position.

Northern, who agrees to sell, has the short position.

And that contract locks in the $2 .40 price for both of them.

And it's a commitment.

Unlike an option, Arctic must buy and Northern must sell no matter what the price is in January.

That's the key trade -off.

You get guaranteed price stability, but you give up any potential upside.

But these simple forward contracts have a major drawback.

As is.

Counter -party risk.

The danger that the other party just won't perform as promised.

You know, Northern refineries goes bankrupt before delivery, or Arctic refuses to pay the contract price.

And we also have to remember that crucial subtlety we talked about earlier.

Arctic might be locking in their cost at $2 .40.

But if their retail selling price moves with a wholesale spot price, locking in their cost could actually make their profits more volatile, not less.

It goes back to that core strategic decision.

Risk management has to focus on locking in the profit margin, not just one side of the transaction.

Okay, so given that danger of counterparty risk in private contracts, how do firms hedge standardized products like currencies or commodities?

They use futures contracts.

A futures contract is essentially a standardized forward contract that's traded on an organized exchange like NYMEX or the CME.

And this standardization, along with the clearing mechanism, it eliminates that counterparty risk.

And the most important mechanism that ensures there's no counterparty risk is called marking to market.

Correct.

Marking to market means that any profits or losses on the contract are calculated and settled daily through the exchange's clearinghouse.

Okay, so let's trace that Arctic fuels example again.

They buy 1 million gallons of January futures at $2 .40.

What happens if the price goes up the next day to $2 .44?

Arctic has an immediate profit of 4 cents a gallon or $40 ,000.

And that profit is paid immediately in cash by the clearinghouse into Arctic's margin account.

Yes.

The exchange acts as the counterparty to both sides and it guarantees the contract.

If the price were to drop the following day, Arctic would have to immediately pay that loss back to the clearinghouse.

This daily cash settlement ensures that massive losses don't just accumulate unnoticed and trigger a default.

So the cumulative daily profits and losses just ensure that the net cost or revenue always equals that initial futures price.

Exactly.

Let's say the final spot price in January is $2 .60.

Arctic would have accumulated a total profit of 20 cents per gallon on their futures contract through all those daily settlements.

Which is $200 ,000.

Right.

When they finally go to buy the physical oil, they pay $2 .6 million the spot price.

But their net cost is that $2 .6 million minus the $200 ,000 in futures profit.

So they end up paying $2 .4 million.

The price was locked in perfectly.

Which is why, in practice, most people just close out their positions before maturity.

They're not usually interested in taking physical delivery.

Right.

They're hedging financial exposure and they're relying on the fact that the contract's price will converge to the spot price at expiration.

But this does bring back a persistent problem.

Basis risk.

Basis risk.

It's when your local spot price and the exchange futures price are not perfectly correlated.

And why would that happen?

Because the asset you're actually hedging, say, heating oil delivered to your depot in the Midwest is not exactly the same as the asset underlying the futures contract, which might be heating oil delivered to New York Harbor.

A local cold snap could spike your local price, while the NYMEX price stays pretty stable.

So the futures hedge won't perfectly offset that local price jump.

Right.

You're left exposed to that basis spread.

Okay.

That gives us the intuition.

Let's tackle the pricing.

How do we determine the fair price of a financial futures contract?

For financial futures, the relationship is governed by the cost of carry model.

The formula is f sub t equals s sub zero times one plus rf minus y, all to the power of t.

Okay.

So f sub t is the futures price.

S sub zero is the current spot price.

Rf is the risk -free rate and y is the yield or dividend you miss out on.

Right.

Help me visualize the intuition here.

If I buy the futures contract instead of buying the asset today, what's the trade -off?

Well, you're delaying payment.

By delaying payment, you can keep your money in the bank today, earning interest.

That's your rf.

That's a benefit.

It pushes the futures price higher.

It does.

But what are you giving up?

If the underlying asset is a stock index, you're missing out on the yield, the dividends it pays out over that period.

And that lost income pushes the futures price lower.

So the formula is just balancing the benefit of delayed payment against the cost of missed income.

That's all it is.

If the interest you earn is more than the yield you lose, the futures price has to be higher than the spot price.

If the yield you lose is greater than the interest you earn, the futures price must be lower.

Okay.

Let's use that CAC index example to nail down the arbitrage logic.

Spot price is 4 ,500.

Six -month risk -free rate is half percent.

And the six -month dividend yield is 1 .4 percent.

So we plug those in.

Ft equals 4 ,500 times one plus 0 .005 minus 0 .014.

And that gives us a futures price of 4 ,459 .50.

And notice that the futures price is below the spot price here.

Right.

Because the dividend yield of 1 .4 percent is way higher than the interest rate of half a percent.

So the net cost of carry is negative.

And there's an arbitrage story that guarantees this price holds, right?

Always.

If the futures price were any higher, an arbitrager would step in, buy the asset today, sell the futures contract, and lock in a risk -free profit.

At the correct price, that opportunity vanishes.

You're indifferent.

Okay.

So that's financial futures.

What about commodity futures?

That's where physical storage comes in.

Right.

So the formula for commodities has to be adjusted.

It becomes Ft equals S0 times one plus RF plus storage costs minus convenience yield, all to the power of t.

Okay.

So we still have the interest rate.

But now we add storage costs.

Warehousing, insurance, all that.

And then we subtract this thing called convenience yield.

Yeah.

Explain that again.

It's not a cash payment like a dividend.

No.

The convenience yield is the non -monetary value of having the physical commodity right now.

If you're a manufacturer and you suddenly need a crucial raw material to keep your production line running, having that inventory on hand is immensely valuable.

It saves you from costly shutdowns.

So that convenience yield plays the same role as the financial yield.

Why in the other formula?

It does.

And the difference between the convenience yield and the storage costs is called the net convenience yield.

This leads to two classic market conditions.

Right.

If the net convenience yield is positive, meaning the value of having it now outweighs the storage costs, then futures prices are generally below spot prices.

That's called backwardation.

And the opposite is contango.

Contango is when the futures price is above the spot price.

This happens when storage costs are really high or the convenience yield is low.

The futures price is higher because it costs money to hold onto that asset until the future date.

We had that striking example in 2020 with WTI crude oil.

The spot price was around $24 a barrel, but the six -month futures price was over $30.

A textbook case of deep contango.

We can use the formula to back out the net convenience yield, and it was about negative 24%.

A huge negative yield.

Why was that?

Because demand had just collapsed during the pandemic lockdowns.

Storage tanks were literally full to the brim, which pushed the cost of holding the storage cost way, way above the convenience of having it.

And this highlights a really crucial insight.

What's that?

Futures prices primarily reveal information about storage costs and convenience yields.

They're not necessarily precise forecasts of future spot prices, unless, of course, the commodity can't be stored at all, like electricity.

Let's pivot now to interest rates, which create massive uncertainty for firms.

Our hedge strategy here has to start with understanding how forward interest rates are derived from the current term structure.

Right.

So we define the spot rate, or a sub t, as the rate today for a loan of length.

The forward rate, say 1F2, is the implied rate for a loan that starts at time one and ends at time two.

It's what the market thinks a one -year loan rate will be one year from now.

Basically, yeah.

And we can derive it if the one -year spot rate R1 is 3 % and the two -year spot rate R2 is 4%.

There's a no arbitrage relationship that has to hold.

Investing for two years straight at 4 % has to give you the same return as investing for one year at 3 % and then reinvesting for the second year at that forward rate.

Exactly.

The formula is 1 plus R2 squared equals 1 plus R1 times 1 plus 1F2.

If you plug in the numbers, you solve for that forward rate, 1F2, and it comes out to 5 .01%.

So you earn 3 % in year one, and the market structure implies that extending that loan into year two will earn you 5 .01%.

Right.

And while the expectations theory suggests these are a rough guide to what investors expect future spot rates to be, they're not perfect, but they do provide the baseline for locking in future rates.

So how does a manager use this to lock in future borrowing costs?

Say they know they need a $1 million one -year loan exactly one year from now, and they want to lock in that 5 .01 % rate today.

They can execute a homemade forward loan.

It's a bit complex, but the idea is they borrow today for the long period, two years at 4%, and simultaneously lend that money out for the short period one year at 3%.

Okay, let me trace the cash flows.

To receive $1 million in year one, they have to lend a discounted amount today.

Right.

A million divided by 1 .03.

So today, they borrow that amount for two years and immediately lend it out for one year.

Net cash flow today is zero.

Then in year one, the loan matures, they get their $1 million cash.

That's the principle they needed.

And in year two, the original two -year borrowing comes due.

They have to pay it back.

The net effect is that they received a million in year one and paid it back in year two, and the implied interest rate on that transaction is exactly 5 .01%.

So they've perfectly manufactured a forward loan.

But in practice, there are simpler instruments, right?

Like a forward rate agreement, an FRA.

Much simpler.

An FRA is just an over -the -counter contract with a bank based on a notional principle, say $50 million.

Notional.

So no principles actually exchanged.

Right.

And the parties just settle the difference between a contract rate and a reference rate, like SOFR.

If the reference rate ends up being higher than the contract rate, the bank pays the borrower the difference on that notional amount, covering their increased interest cost.

And what about using liquid interest rate futures?

A corporation that's planning to issue long -term bonds in three months can sell treasury bond futures today.

If long -term rates rise between now and then, bond prices will fall.

Meaning their own debt issue will fetch a lower price.

It will, but the profit they make on selling the futures contract from that falling bond price will offset the lower price they get on their debt issue.

But as always, you can't escape basis risk.

Never.

Hedging a highly liquid treasury rate is not the same as hedging the specific rate your corporation will pay on its own debt.

The correlation is strong, but there's always a residual risk in that basis.

Let's apply this to that pension fund scenario.

Example 27 .3.

A manager gets $100 million at date 1 and has to pay out $105 million at date 2.

Rates are initially 5%.

How do they guarantee they can meet that obligation?

Right.

They need to eliminate the risk that the rate will change.

If rates fall to 3%, that $100 million only grows to $103 million, leaving a $2 million shortfall.

So what do they do?

To hedge, the manager takes a long position in a treasury note future that matures at date 2.

So if rates fall to 3%, the value of the underlying treasury note rises.

It does.

And the futures price will converge to the present value of the note at that new lower rate.

The profit the manager earns on that futures contract is just enough to make up for the shortfall.

So the futures profit plus the initial $100 million, when invested at the new lower 3 % rate, yields exactly $105 million.

Precisely.

And it works the other way, too.

If rates rise, they suffer a loss on the futures contract.

But they can invest the remaining amount at the new higher rate and still hit exactly $105 million.

It's a perfect textbook hedge.

If we look at the sheer size of the derivatives world, swaps are just dominant.

The total notional amount was over $350 trillion in 2020.

What is the fundamental purpose of an interest rate swap for a corporate manager?

A swap is a long -term contract that lets a company restructure its debt profile without having to refinance or issue new debt.

It converts fixed -rate debt payments to floating, or the other way around.

Let's use the Fenley Bank Corp example to understand this.

The bank has a loan that pays it a fixed 8%.

But the bank wants that fixed receipt converted into a floating receipt.

Right.

So the easy path is the standard interest rate swap.

The bank enters into a fixed -to -floating swap with a dealer on a principal of $66 .67 million.

The dealer quotes a swap rate of 6 % against a floating rate like SOFR.

Okay, so the dealer pays the bank the floating SOFR interest on that notional amount.

And the bank pays the dealer the fixed 6 % interest on that same notional amount.

But only the net is exchanged.

Always.

The interest payments are always netted out.

If SOFR is 5%, the bank owes the dealer the difference, which is 1 % of the notional.

If SOFR rises to 6%, the payments are equal, and the net payment is zero.

Okay, now we have to address that notional value.

$66 million sounds massive, but we established that using notional value is a careless measure of risk.

Why is that?

Because the risk in a swap is not the principal amount.

That notional value is never exchanged.

It's just a reference point for calculating the interest.

The true risk lies in the change in the economic value of the swap over time.

A swap's economic value is zero when you start it, but it changes as long -term interest rates move.

Let's illustrate that.

Assume rates rise from 6 % to 7 % after two years, and the swap has three years left.

The bank is committed to receiving a fixed 6 % from the dealer, but new swaps are now being written at 7%.

So the bank's committed 6 % receipt is less valuable than what the market offers now.

Exactly.

The swap now has a negative value for the bank, and we can calculate that value.

It's the present value of the difference between the committed swap rate and the new market rate over the remaining life.

Which is a 1 % difference per year on that notional principle.

Right.

The value of the original swap is the present value of that extra payment for the remaining three years, discounted at the new market rate of 7%.

And that comes out to $1 .75 million.

That is the true economic value change, and that's the money actually at risk if the counterparty defaults.

So the dealer's main risk isn't the rate change?

No.

They hedge that.

Their main risk is counterparty default.

If a counterparty defaults on a profitable swap, the loss is just the replacement cost of that position.

Okay.

Let's briefly cover currency swaps.

What's their purpose?

A currency swap lets a firm convert debt from one currency into another.

Say Possum Company needs euros.

The euro rate is 5%.

The dollar rate is 6%.

So they issue $10 million in notes at 6%.

And then they find a swap counterparty.

Right.

The counterparty agrees to service all of Possum's dollar interest and principal payments.

In return, Possum agrees to pay the counterparty euro interest and principal based on the current exchange rate.

So the net effect is they've converted a 6 % dollar loan into a 5 % euro loan without ever having to issue debt in a foreign market.

Exactly.

The swap cash flows are effectively just a series of forward contracts on the currency exchange rate, all bundled into one package.

So we've covered the why and the what.

Now for the practical reality.

Setting up the hedge.

How big does the hedge need to be?

Well, we first have to distinguish between two types of strategies.

You have zero maintenance hedges, like a forward contract where you just lock it in and walk away.

And then you have dynamic hedges, which require frequent monitoring and adjustment.

Right.

And a classic need for a dynamic hedge is when a firm has an asset and a liability with mismatched maturities.

Let's look at Potterton Leasing.

They have a 20 -year lease that pays them $2 million annually.

That's a long -term fixed rate asset.

The present value is $17 million.

Okay.

So to hedge this, they need to issue an offsetting $17 million debt liability.

But if they just take out a one -year bank loan and refinance it every year for 20 years, they're falling into the mismatch trap.

They're borrowing short and lending long.

Which is a massive unhedged bet that rates will fall.

If rates rise, their borrowing costs explode, but their lease revenue is fixed.

It's a recipe for financial distress.

So what's the solution?

Well, solution one is the zero -maintenance approach, issue debt that has the exact same payment schedule, $2 million a year for 20 years.

But you can't always find that.

So solution two is the duration hedge.

Okay.

Explain financial duration in plain English.

Duration is the weighted average of the times until your cash flows are received.

Conceptually, it measures how sensitive your asset's value is to changes in interest rates.

By matching the duration of the asset to the duration of the liability, you ensure their PVs change by the same percentage for small interest rate shifts.

So the CFO at Potterton calculates the duration of those lease payments.

And that calculation shows the duration is 7 .5 years.

This means Potterton has to issue a package of bonds that also has a weighted average duration of 7 .5 years.

So they might use a 12 -year bond that happens to have a duration of 7 .5 years.

And this works because for small changes in rates, the change in the value of the lease is almost perfectly offset by the change in the value of the debt.

They're hedged.

But, and this is a big but, it's a dynamic strategy.

It has to be reset periodically.

Why?

Because duration is only an approximation that works for small changes.

And as time passes, the duration of both the debt and the lease naturally decreases, and they drift apart from that original match, the manager has to constantly monitor and reset the hedge.

Let's generalize this to all hedging situations with the concept of the hedge ratio, or delta.

This is the number of units of your hedging instrument you need to offset changes in the value of your risky position.

Right.

We're calculating the slope of the correlation between the two assets.

Let's apply this to the wheat farmer.

The farmer has northern spring wheat, but has to hedge using Kansas City futures.

And historical data shows that a 1 % change in the Kansas City price only resulted in a 0 .8 % change in the farmer's local price.

So the hedge ratio, delta, is 0 .8.

The farmer must sell only 0 .8 units of futures for every unit of wheat they own to minimize their risk.

Wait, why wouldn't they just sell one for one?

Doesn't a 100 % hedge ratio sound safer?

It seems intuitive, but it's wrong because of that basis risk.

If you hedge one for one, you're assuming your local wheat is perfectly correlated with Kansas City wheat.

If you use delta equals 0 .8, you ensure the gain or loss on your hedge exactly matches the gain or loss on your physical crop, achieving the minimum overall variance.

And this highlights the real challenge in the real world,

estimating that delta.

It's incredibly challenging.

You have to estimate how, say, a 10 % increase in jet fuel prices actually affects the value of your airline.

Is it offset by higher ticket prices?

Or is it amplified by a business slowdown?

It's as much art as science.

And at the end of the day, whenever the hedged asset and the hedging instrument are imperfectly correlated.

Some residual risk remains.

That is the ultimate definition of basis risk.

So derivatives, futures, swaps, options, they're essential hedging tools.

But they get such a bad rap in the news.

They're often labeled as dangerous speculative instruments.

Where does that line between necessary hedging and dangerous speculation actually blur?

Well, speculation is when you take a position in a derivative without an offsetting position in the underlying asset.

You're increasing your risk, not reducing it.

But we have to remember, speculators are essential to the market.

They provide the necessary liquidity.

They're often attracted by the massive leverage derivatives offer, which allows for huge profits or huge losses from small initial outlays.

And that leverage is exactly what leads to the spectacular disaster stories that make the headlines.

You know, the rogue trader at Sausage and Ural losing almost 5 billion euros, the collapse of Baring Brothers.

These are tales of massive control failure.

So what are the main lessons management should take away from these epic failures?

There are really two bits of horse sense here.

Precaution one, don't be taken by surprise.

Senior management must constantly monitor the value of their derivative positions, the actual market to market value, and stress test them.

What happens if interest rates change by 1 % tomorrow?

And precaution, too.

Place bets only where you have a comparative advantage.

An oil producer is an expert in extraction, not currency trading.

A bank is an expert in credit, not exploratory drilling.

If your treasury operation suddenly becomes a massive profit center one quarter, you should be suspicious, not celebratory.

The treasury is there to hedge risk, not to speculate.

Exactly.

And this brings us back to that systemic risk debate crystallized by Warren Buffett's famous quote, calling derivatives financial weapons of mass destruction.

Is that worry justified?

The anxiety is often magnified by the careless use of the notional value.

People point to that $582 trillion number and assume that's the money at risk.

But we've established that's not right.

The notional principle is just a reference point.

If a counterparty defaults on a brand new swap, the bank loses virtually nothing because the economic value is still zero.

The real loss only happens when the market has moved, making the swap highly profitable for one party and then the other party defaults.

Correct.

The loss is only the replacement cost of that position.

Now, while the notional value vastly overstates the money at risk, the concern remains valid.

During the 2008 crisis, the real systemic risk was that the actual replacement costs were so massive and so interconnected that they threatened to take down the whole system.

So the need for robust regulation remains vital.

This deep dive into corporate risk management really confirms that while shareholders can diversify, firms have to hedge to maintain strategic flexibility and reduce the costs of market imperfections.

That's right.

We established that hedging is primarily risk transfer, a zero -sum mechanism that only adds value when it reduces costs like financial distress.

And insurance is critical for pooling and reducing diversifiable risk.

Options provide that asymmetrical hedge, limiting downside risk while keeping the upside potential.

And forwards and futures allow firms to lock in prices.

But managers have to constantly manage that basis risk and calculate the right hedge ratio.

And finally, duration is the key metric for dynamically hedging against interest rate volatility.

The whole lesson is that risk management is a strategic necessity that ensures a firm's cash flows align with its long -term investment opportunities.

We started with the core paradox.

If shareholders can diversify easily, why should management hedge?

Here's a final provocative thought for you to consider.

If management did hedge the oil price at Cirrus Oil, locking in a fixed revenue stream when their best investment opportunities only appear during high oil price spikes, what would be the long -term strategic consequences?

Think beyond the immediate cash flow problem.

What kind of corporate culture would that create?

And how would it ultimately misallocate capital, potentially sacrificing the firm's core comparative advantage?

They'd consistently have cash when opportunities are poor and vice versa.

It's a guaranteed strategic misalignment.

Something to mull over as you encounter risk in your own portfolio.

Thank you for joining us for this deep dive into managing corporate risk.

We'll see you next time.