introduction to derivative instruments link “n” learn · © 2018 deloitte 8 linear instruments...
TRANSCRIPT
![Page 1: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/1.jpg)
Introduction to Derivative InstrumentsLink “n” Learn25 October 2018
![Page 2: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/2.jpg)
2© 2018 Deloitte
Speaker & Agenda
Guillaume Ledure – Senior ManagerAdvisory & Consulting, Capital MarketsDeloitte LuxembourgEmail: [email protected]: +352 45145 4701
Agenda
Definition and use of derivatives
Classification of derivatives
Linear instruments
Swaps
Non-linear instruments
Structured products
Hybrid products
Recent trends in derivatives markets
OIS discounting
Credit Valuation Adjustment
Illustration: Swap trading in the past and nowadays
Conclusions and key messages
1
2
3
4
Fabian De Keyn – DirectorAdvisory & Consulting, Capital MarketsDeloitte LuxembourgEmail: [email protected]: +352 45145 3413
![Page 3: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/3.jpg)
3© 2018 Deloitte
Contents
Definition and use of derivatives
Classification of derivatives
Linear instruments
Swaps
Non-linear instruments
Structured products
Hybrid products
Recent trends in derivatives markets
OIS discounting
Credit Valuation Adjustment
Illustration: Swap trading in the past and nowadays
Conclusions and key messages
![Page 4: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/4.jpg)
4© 2018 Deloitte
Definition of derivatives
Definition and use of derivatives
• A derivative can be defined as a financial instrument whose value depends on (or derives from) the value of other basicunderlying variables (e.g. stocks, bonds, commodities…)
• Derivatives themselves can be traded on organized markets, or alternatively agreed-upon between two counterparties (“over-the-counter” or “OTC” transactions)
Organized market: a derivative has a market observable price
OTC: a derivative has no observable price, but a value that can be computed using a model
• The uses of derivatives can be split in three different categories (see chart on the right-hand side):
Hedging
Speculation
Arbitrage
![Page 5: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/5.jpg)
5© 2018 Deloitte
Contents
Definition and use of derivatives
Classification of derivatives
Linear instruments
Swaps
Non-linear instruments
Structured products
Hybrid products
Recent trends in derivatives markets
OIS discounting
Credit Valuation Adjustment
Illustration: Swap trading in the past and nowadays
Conclusions and key messages
![Page 6: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/6.jpg)
6© 2018 Deloitte
Derivative instruments can be split into 5 major families
Classification of Derivatives
5
Linear
Swaps
Non Linear Products
Structured Products
Hybrid Products
• Value of these products is linearly related to their underlying
• OTC or exchange-traded (with clearing house)
• Provide a leverage with limited investment
• Usually OTC contracts that exchange two series of cash flows over a period in the future
• Cash flows can be fixed, floating, in various currencies
• Cash flows can be conditional on certain events
• Typically any kind of options
• Value of the products evolves non-linearly with the value of the underlying
• OTC or exchange-traded
• Combination of options can lead to specific strategies
• Issued by a BankStructured on two different products:• Bond to provide full or
partial protection• Derivative (e.g. option)
to increase performance• OTC product (ad-hoc
payoff)• Built on investor’s needs
that are not covered by standard products
• Enable personal investors to take exposures they would usually have no access to
• Products that constitute a mix of several exposures
• More than just the sum of several components
• Example: convertible bonds that may behave as a bond or as an equity following the market conditions
Their technical complexity is increasing but each of them can still lead to financial disasters if manipulated without care
![Page 7: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/7.jpg)
7© 2018 Deloitte
• Linear products are instruments that see their value directly related to the market price of the underlying variable
− In case of a move in the underlying asset, the value of the derivative will move with a nearly identical quantity
− Often called “Delta-One” products because there is a 1:1 relationship between the values of the underlying and derivative in case of market move
• Such products are not particularly complex mathematically but they may still provide high leverage and give exposure to high risks
Classification of Derivatives
Futures Contract
Forward Exchange Contract
Contract For Difference
(CFD)
Linear Instruments
![Page 8: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/8.jpg)
8© 2018 Deloitte
Linear Instruments
• Bilateral contract in which two counterparties agree to buy/sell an underlying at a predetermined price at a specified date in the future
• Futures are traded on organized markets (exchanges), so they are standardized contracts
Futures Contract
Intervenes as counterparty of all trades to mitigate counterparty
credit risk
Broker Broker
Seller
Clearing
House
Both counterparties must contribute collateral when entering into the trade
(initial margin)
Afterwards, the counterparty with negative MtM must contribute daily
margin calls
Buyer
Seller
![Page 9: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/9.jpg)
9© 2018 Deloitte
Linear Instruments
• Bilateral contract in which two counterparties agree to buy/sell an underlying at a predetermined price at a specified date in the future
• Contrarily to Futures, Forwards contracts are Over-The-Counter (“OTC”) instruments traded directly between two counterparties
Forward Exchange ContractThis sounds
familiar!
No clearing house (no intermediary) between the
counterpartiesNo initial margin, no margin call
Seller
Both counterparties are potentially subject to counterparty credit risk
In practice, only the one with a positive MtM supports the credit risk
Buyer
Seller
![Page 10: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/10.jpg)
10© 2018 Deloitte
• Swap contracts consist in the exchange by two counterparties of two streams of cash flows (legs) at future dates
− Nowadays, swaps represent the biggest part of global derivatives volumes
− Swaps are usually traded OTC, so share the following characteristics with forwards
Can be highly customizable
Subject to counterparty credit risk
• Main categories of swaps
Swaps
Total Return Swap
Credit Default Swap
Interest Rate Swap
(incl. Cross-Currency)
![Page 11: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/11.jpg)
© 2018 Deloitte 11
Swaps
• IRS example
• CCIRS example
Interest Rate Swap and Cross-Currency Swap
Party BParty A
2% × 10,000,000 = 𝐸𝑈𝑅 200,000, paid every year
𝐿𝑖𝑏𝑜𝑟6𝑀 + 0.15% ×6
12× 10,000,000, paid every 6
months following fixing of the Libor6M rate
Party BParty AParty
B
Party A
Party B
Party
A
JPY 130,000,000
(JPYLIBOR6M + Spread) x 6
12x 130,000,000
Paid semi-annually
![Page 12: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/12.jpg)
© 2018 Deloitte 12
• IRS: notional of 10,000,000 EUR, 3-year maturity, fixed rate 1% versus EURIBOR12M
• An IRS can be viewed as a strategy involving a pair of securities:
− Fixed Rate leg: Purchase of a fixed rate note ("Bond") for EUR 10,000,000 paying annual fixed interest and receiving principal at maturity
− Floating Rate leg: Sale of a floating rate note paying floating annual interest (EURIBOR12M) and repaying principal at maturity
Swaps
Valuation: Discounted Cash Flows Method
Dec18 Dec19 Dec20
PayFloating
EUR -1,9K
PayFloatingEUR ???
PayFloatingEUR ???
Receive Fixed
EUR 100K
Receive Fixed
EUR 100K
Receive Fixed
EUR 100K
TimeDec17
Valuation date
notional × 1%× 1𝑦
notional × 𝐸𝑈𝑅𝐼𝐵𝑂𝑅12𝑀 × 1𝑦
Floating Leg
Fixed Leg
![Page 13: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/13.jpg)
© 2018 Deloitte 13
Swaps
• Step 1: Estimation of the forward rate from zero coupon yield curve
Valuation: Discounted Cash Flows Method
Dec17 Dec18 Dec19
𝑅1 𝒇𝟏,𝟏 𝒇𝟏,𝟏 = 𝟎, 𝟎𝟑%
𝒇𝟐,𝟏 = 𝟎, 𝟒𝟑%
𝑅2
Dec20
𝒇𝟐,𝟏
𝑅3
Dec18 Dec19 Dec20
PayFloating
EUR -1,9K
PayFloating
EUR 0,3K
PayFloating
EUR 4,3K
Receive Fixed
EUR 100K
Receive Fixed
EUR 100K
Receive Fixed
EUR 100K
TimeDec17
Valuation date
Floating Leg
Fixed Leg
Bloomberg Interest Rates Curve
![Page 14: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/14.jpg)
© 2018 Deloitte 14
• Step 2: Discounting the future cash flows (cf. time value of money)
Swaps
PV of cash-flow
Cash-flow
DiscountingFactor
0 T
Swap value = 1,9K + 100K × 𝐷𝐹1 + −0,3𝐾 + 100𝐾 × 𝐷𝐹2 + (−4,3𝐾 + 100𝐾) × 𝐷𝐹3
1 2 3
2 3
PayFloating
EUR 4,3K
Dec18 Dec19 Dec20
PayFloating
EUR -1,9K
Receive Fixed
EUR 100K
Receive Fixed
EUR 100K
Receive Fixed
EUR 100K
TimeDec17
Valuation date
PayFloating
EUR 0,3K
1
Valuation: Discounted Cash Flows Method
Floating Leg
Fixed Leg
Bloomberg Interest Rates Curve
![Page 15: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/15.jpg)
© 2018 Deloitte 15
Swaps
A Credit Default Swap (CDS) is some kind of insurance contract
• One party pays a premium leg (fixed or floating) to obtain protection against the default of a reference asset
• Objective: transfer the credit risk exposure of the reference asset from the risk-averse party to the protection seller
Credit Default Swap
Protection seller
Protection buyer
Delivery of Bond2
Scenario 2The reference bond defaults
Protection seller
Protection buyer
Pays par value of the Bond1
Protection seller
Protection buyer
2
Pays premium
Pays regular payments to the
seller until maturity or default
Reference asset(Bond)
Investment
1
Reference bond
The buyer loses the premium and receives bond performance
Scenario 1The reference bond performs without default
Reference bond
At contract date
![Page 16: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/16.jpg)
© 2018 Deloitte 16
Swaps
A Total Return Swap (TRS) exchanges two streams of cash flows
• A total return leg that pays cash flows corresponding to the total return on the period of a specified asset (including any capital appreciation/depreciation and interest/coupon payments)
• A premium leg that pays cash flows indexed on a fixed rate or floating rate index
• No notional exchange at maturity of the swap
• Objective: transfer the total economic exposure (market and credit risk) of the reference asset without having to purchase or sell it
Total Return Swap
Pays: Libor + Spread1
Total Return(Performance of the reference asset)
4
Reference asset(Bond, Index, Equity, Fx rate,
Commodity)
Total ReturnPurchase
2 3
Payer of Total
Return
Receiverof Total Return
![Page 17: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/17.jpg)
© 2018 Deloitte 17
Non-Linear Instruments
• Non-linear products are instruments that see their value related to the market price of the underlying variable, but under a non-linear relationship
− The payoff of such products varies with the value of the underlying, but also with other elements (interest rates, volatility, dividends, etc.)
− Non-linear products are often referred to as “options” but this is a global name for a wide range of different payoffs
• Various underlying assets: stocks, indices, funds, fx rate, interest rates, bonds, etc.
• These products can be exchange-traded or OTC
Vanilla American
option
Bermudan option
Vanilla European
option
Exotic options
(Asian,Digital, Barrier)
…etc.
![Page 18: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/18.jpg)
© 2018 Deloitte 18
Non-Linear Instruments
• Definition: “The right to buy/sell an underlying asset at a certain price at a future maturity date”
• European vanilla options: positive payoff if the underlying value at maturity is higher/lower than a specified value (strike) and 0 otherwise
− Call option: payoff = max(0, 𝑆𝑇 − 𝐾)
− Put option: payoff = max(0, 𝐾 − 𝑆𝑇)
• To enter into an option, a certain premium must be paid by the option purchaser
• P&L profile of vanilla options
Vanilla Options
PutCall
Buyer
Seller
Exercise Price
Profit
SpotPrice
Exercise Price
![Page 19: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/19.jpg)
© 2018 Deloitte 19
Non-Linear Instruments
Profile of the option’s P&L (MtM – premium) and impact of time to maturity
-40
-20
0
20
40
60
80
100
10 30 50 70 90 110 130 150 170 190
Payoff Maturity=1Y Maturity=3Y Maturity=5Y
Increasein time
to maturity
Vanilla Options
![Page 20: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/20.jpg)
© 2018 Deloitte 20
Vanilla Options
Time Value
• Let’s assume that a call option has these characteristics:
− Strike is 100 USD
− Underlying spot price is 90 USD
− Maturity is 1 year
(assume no rates, no dividends for simplicity)
• What is the option value?
Intrinsicvalue
Timevalue
Spot Price
Optionvalue
• Option value = Intrinsic Value + Time Value
The payout if the option were
maturing immediately
The additional premium due to the remaining time-to-
maturity of the option
![Page 21: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/21.jpg)
© 2018 Deloitte 21
Vanilla Options
Volatility
Volatility is a measure of dispersion of the price of the underlying asset around the trend
Two assets may exhibit different
levels of volatility
Microsoft / SP500 Index (source: Bloomberg)
![Page 22: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/22.jpg)
© 2018 Deloitte 22
Vanilla Options
Impact of Volatility
An increase in volatility leads to an increase of the option value due to the higher probability to get a high payoff for a given date
• In case of decrease of the underlying: a higher volatility leads to a stronger fall, but no loss for the call holder
• In case of increase of the underlying: a higher volatility leads to a stronger rise, so a higher profit for the call holder
The call value increases with volatility!
-40
-20
0
20
40
60
80
100
10 30 50 70 90 110 130 150 170 190
Payoff Volatility=10% Volatility=20% Volatility=30%
Increasein volatility
![Page 23: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/23.jpg)
© 2018 Deloitte 23
Vanilla Options
Valuation
• Assume we want to value a call option on a stock that will pay a certain cash flow only if the stock price matures above a certain level 𝐾
− The payoff at maturity can be written as follows:max 𝑆𝑇 − 𝐾, 0
− The value of the option will equal:Value Option = 𝐸[max 𝑆𝑇 − 𝐾, 0 × 𝐷𝐹𝑇]
• The critical aspect is to determine what is the probability distribution of 𝑆𝑇, i.e. the different possible values of 𝑆𝑇 and their respective probabilities
− For that purpose, make use of a model!
− For instance, the famous Black-Scholes formula enables to value vanilla calls and puts:
European Call value = 𝐟𝐮𝐧𝐜𝐭𝐢𝐨𝐧(spot price,strike,volatility, time−to−maturity, dividend yield, risk−free rate)
![Page 24: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/24.jpg)
© 2018 Deloitte 24
Vanilla Options
Valuation with Monte Carlo simulations
Given a model, you can compute the expectation 𝐸 using a numerical method like the Monte Carlo simulation
Steps to follow
1. Simulate the random walk from the valuation date
to maturity date
2. Calculate the option payoff for this simulation
3. Repeat the steps 1 and 2 (a lot of times)
4. Calculate the average payoff of all simulations
5. Take the present value of this average
40
60
80
100
120
140
160
0 0,2 0,4 0,6 0,8 1
![Page 25: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/25.jpg)
25© 2018 Deloitte
Structured Products
Credit Linked ProductsThis family covers products such as ABSs, MBSs, CDOs, CLOs, CLNs
Capital-Guaranteed Products This family covers products that provide full reimbursement or at least some protection on the invested capital (airbag)
Callable Products This family covers structured products that, at certain points in time, can be early terminated following the choice of one of the parties (issuer or noteholder)
Interest Rates products This family covers products providing exposure on interest rates markets such as CMS products, snowball, range accruals,...
Auto-Callable ProductsThis family covers products than might be early terminated automatically as soon as specific conditions are fulfilled. Examples cover Phoenix notes and all related
Structured Products
Capital-Guaranteed Products
Callable Products
Interest Rate products
Structured products are financial instruments that are the result of the combination of several basic instruments, all wrapped together to provide specific payoffs and exposures
![Page 26: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/26.jpg)
© 2018 Deloitte 26
Hybrid Products
• A hybrid product combines several characteristics and may exhibit different behaviors according to the market conditions
• Typical example: “convertible bond”
− Behaves roughly like a bond (subject to interest and credit risk) if the underlying stock price is low
− Behaves roughly like an equity if the underlying stock price is high
50
70
90
110
130
150
170
190
10 30 50 70 90 110 130 150 170 190
EquityFixed-income Hybrid
![Page 27: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/27.jpg)
27© 2018 Deloitte
Contents
Definition and use of derivatives
Classification of derivatives
Linear instruments
Swaps
Non-linear instruments
Structured products
Hybrid products
Recent trends in derivatives markets
OIS discounting
Credit Valuation Adjustment
Illustration: Swap trading in the past and nowadays
Conclusions and key messages
![Page 28: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/28.jpg)
28© 2018 Deloitte
Summary
Recent Trends in Derivatives Markets
DERIVATIVES (SWAPS) VALUATION
COUNTERPARTY CREDIT RISKTRANSPARENCY
![Page 29: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/29.jpg)
29© 2018 Deloitte
Counterparty credit risk
OIS Discounting
Counterparty risk is typically defined as arising from two broad classes of financial products:
• Securities financing transactions e.g. repos and reverse repos and securities borrowing and lending
• OTC derivatives including interest rate swaps, FX forwards and credit default swaps
How to deal with counterparty credit risk in derivatives valuation?
• Require the party with negative MtM to post collateral in guarantee in case it goes into default
• Adjust the valuation to incorporate credit exposure
Collateral management can be burdensome and introduce operational risk
Counterparty credit risk
The risk that an entity with whom one has
entered into a financial contract (the
counterparty) will fail to fulfil their side of
the contractual agreement
By far the most significant class due to the size and diversity of OTC market
![Page 30: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/30.jpg)
30© 2018 Deloitte
Before the credit crisis
OIS Discounting
Before the credit crisis, valuation was performed in a “Single-Curve
Framework”
• Libor, the short-term borrowing rate of AA-rated banks was seen as a proxy for the risk-free rate
• Counterparty credit risk was a minor concern and collateral agreements were far from systematic
• Yield curves calibrated on instruments of any tenor were more or less identical
• A yield curve calibrated on the market prices of the most usual liquid swaps was used to forecast floating cash flows
• The same curve was used to discount cash flows when the swap was collateralized or when the counterparty was “sufficiently solid” (i.e. well-rated)
Consequences on swap valuation
1
2
![Page 31: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/31.jpg)
31© 2018 Deloitte
During the credit crisis
OIS Discounting
1
2
3
The onset of the crisis (esp. the collapse of Lehman) raised questions about the liquidity and creditworthiness of big banks, even well-rated:
• Regulators and public opinion called for increased transparency and regulation of OTC markets
• Collateralization with daily margin calls became a necessity
Strong criticism of LIBOR as fair and risk-free reference rate
• LIBOR, the rate of unsecured borrowing, denoted the risk of AA-rated banks, but no more the absence of counterparty credit risk
• Suspected manipulations of the LIBOR fixing procedures led to a distrust of LIBOR
• LIBOR6M was riskier than LIBOR3M, itself riskier than LIBOR1M, etc.
Central banks continued to provide abundant liquidity via their bank lending window
• Fed funds (“cash”) and short-dated T-Bills were the sole remaining assets considered as more or less free of credit risk, since dealt with highest-quality government entities and for the shortest maturity (1-day)
• These short-dated “risk-free” assets were the only acceptable deliverable assets for collateral maintenance
![Page 32: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/32.jpg)
32© 2018 Deloitte
Consequences of the credit crisis on valuation
OIS Discounting
3M EUR LIBOR-OIS spreadClose to 0 until credit crisis
Sub-prime crisis(2007-2010) Euro sovereign
debt crisis (2011-2012)
StartMid-2007
• Behaviours of dealers on swap markets changed dramatically:
− Apparition of non-negligible tenor basis
− Large differences between yield curves calibrated on instruments of different tenors
• Consequences on swap valuation:
− Forecasting floating cash flows requires the use of the yield curve calibrated on instruments of the corresponding tenor
− Discounting cash flows of collateralized swaps requires the use of a “risk-free” yield curve
Best proxy: a curve calibrated on instruments with a 1D tenor (i.e. “Overnight-Indexed Swaps”), the “OIS curve”
Since the credit crisis, valuation is performed in a “Multi-Curve Framework”, with discounting under the OIS curve, considered as an “almost risk-free” curve
![Page 33: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/33.jpg)
33© 2018 Deloitte
Multi-curve framework
OIS Discounting
An Overnight-Indexed Swap is a fixed-floating IRS where the floating rate is calculated using the daily compounded overnight rate index
For collateralized regular IRSs (e.g. in EUR: 1Y fixed vs. EURIBOR6M), two curves are necessary
• Effective federal funds rate in USD, Euro Overnight Index Average (EONIA) in EUR, Sterling Overnight Index Average (SONIA) in GBP, etc.
• Forecasting the floating rate of a non-liquid OIS requires a curve calibrated on a 1D tenor (i.e. liquid OISs)
• Discounting collateralized cash flows requires the risk-free curve, i.e. the curve calibrated on liquid OISs
• The OIS curve calibrated beforehand as above to discount the cash flows
• The “LIBOR6M curve”, i.e. a curve calibrated using liquid swaps indexed on LIBOR6M
An Overnight-Indexed Swap can be valued under a Single-Curve framework
This enables to calibrate this OIS curve using liquid OISs
Regular IRSs need to be valued under a “Dual-Curve framework” with OIS discounting
The multiplicity of tenors (1D, 1M, 3M, 6M) results in the “Multi-Curve framework”
Valuation results may be very different than in the pre-crisis “Single-Curve”
world
![Page 34: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/34.jpg)
34© 2018 Deloitte
Issues of the multi-curve framework
OIS Discounting
Practical valuation
issues
Open debate: how to discount uncollateralized
trades?
Reporting issues
• The transition from LIBOR to OIS curves may cause large portfolio MTM changes resulting in greater income statement volatility
• Hedge accounting: hedge may prove less effective (or fail hedge effectiveness test) if e.g. hedge is discounted at OIS while the hedged item is not
• Active OIS markets do no exist for all currencies and may be limited to short to medium-term maturities (which makes it difficult to calibrate a complete discounting yield curve)
• Calibration of all yield curves should be a fully integrated process, since swaps used as calibration instruments have influence of several curves, especially when dealing with cross-currency swaps • Discounting using a LIBOR yield curve
(represents a standard AA-rated banking counterparty)?
• Discounting using the OIS yield curve shifted by some credit spread (depending on the counterparty)?
• Discounting using the OIS yield curve and account for valuation adjustments?
No market
consensus so far
![Page 35: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/35.jpg)
35© 2018 Deloitte
Summary
Recent Trends in Derivatives Markets
DERIVATIVES (SWAPS) VALUATION
Incorporation of new market realities into pricing
Multi-curve framework (depending on collateralization)
COUNTERPARTY CREDIT RISK
Importance of proper collateral management
Inclusion of Credit Support Annexes (CSA) in swap contracts
TRANSPARENCY
Essential to know precisely the exposures of the bank with respect to each individual counterparty
High standards of transparency to guarantee investors protection and best execution within MiFID; Benchmark regulation
3M EUR LIBOR-OIS spreadClose to 0 until credit crisis
Sub-prime crisis(2007-2010) Euro sovereign
debt crisis (2011-2012)
StartMid-2007
Since the crisis, rate ofcollateralized Overnight-Indexed Swaps is seen as the true risk-free rate instead of LIBOR
The yield curve built upon OIS is the new standard for discounting
Challenges of collateral include the operational costs, the complex management of threshold and netting agreements, the determination of cheapest-to-deliver assets, etc.
![Page 36: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/36.jpg)
36© 2018 Deloitte
Quantification of credit risk
Credit Valuation Adjustment
Traditional management methods of counterparty risk tend to work in a binary fashion:
• For example the use of a credit limit – if the limit is breached, financial institution would refuse to enter into a transaction
• Problem with this is that only the risk of a new transaction is being considered – but potential profit of the new transaction should also be a factor in the decision making process
By pricing counterparty risk, one can move beyond a binary decision making process :
• The question of whether to enter a transaction becomes simply whether or not it is profitable once the counterparty risk component has been priced in
• In other words we adopt the following equation:
Risky price = Risk-free price + CVA
Price assuming no counterparty risk
“Credit Valuation Adjustment” = Price of counterparty risk
![Page 37: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/37.jpg)
37© 2018 Deloitte
Quantification of credit risk
Credit Valuation Adjustment
Credit Valuation Adjustment
CVA = Present Value[Loss in case of counterparty default × Probability of default]
= (1-Recovery rate) × Exposure at default × Probability of default × Discount Factor
• The transaction type i.e. is it an interest rate swap or an FX forward
• Whether there are other offsetting positions with the counterparty that will result in a netting effect (and is there a netting agreement for this to apply)
• Whether of not the transaction is collateralised
• Any hedging aspects of the underlying transaction
![Page 38: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/38.jpg)
38© 2018 Deloitte
Challenges
Credit Valuation Adjustment
Common challenge for all entities computing CVA is obtaining the necessary market data:
• Requires some degree of judgement in coming up with proxy data in order to compute CVA
• Whether or not credit spreads are available
Regardless of methodology used to compute CVA, a certain level of expertise and management judgment is required to ensure that CVA has been considered and appropriately applied
CVA valuation methodologies are still not standardised:
• Can range from relatively simple to highly complex methods
• Methodology used largely driven by sophistication and resources available to market participant
• Depending on a particular participant, CVA can be quite large
1Standardi-
sation
Skills
3
2MarketData
![Page 39: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/39.jpg)
39© 2018 Deloitte
Summary
Recent Trends in Derivatives Markets
DERIVATIVES (SWAPS) VALUATION
Incorporation of new market realities into pricing
Multi-curve framework (depending on collateralization)
COUNTERPARTY CREDIT RISK
Importance of proper collateral management
Inclusion of Credit Support Annexes (CSA) in swap contracts
Inclusion of proper valuation adjustments
TRANSPARENCY
Essential to know precisely the exposures of the bank with respect to each individual counterparty
High standards of transparency to guarantee investors protection and best execution within MiFID
3M EUR LIBOR-OIS spreadClose to 0 until credit crisis
Sub-prime crisis(2007-2010) Euro sovereign
debt crisis (2011-2012)
StartMid-2007
Since the crisis, rate ofcollateralized Overnight-Indexed Swaps is seen as the true risk-free rate instead of LIBOR
The yield curve built upon OIS is the new standard for discounting
Challenges of collateral include the operational costs, the complex management of threshold and netting agreements, the determination of cheapest-to-deliver assets, etc.
VALUATION ADJUSTMENTSCVA (Credit) accounts for the counterparty credit risk if no collateral
DVA (Debit) accounts for own counterparty credit risk if no collateral
![Page 40: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/40.jpg)
40© 2018 Deloitte
Example of cross-currency swap
Illustration: Swap trading in the past and nowadays
Before the 2007 crisis…
Classical valuation
frameworkTwo yield curves are required:
- 1 single “standard” curve for forecast
and discount in ccy1
- 1 single “standard” curve for forecast
and discount in ccy2
… and after the crisis
Multi-curve valuation frameworkFour yield curves are required:
• 1 forecast curve in ccy1 corresponding to the right
LIBOR tenor
• 1 discount curve in ccy1:
- OIS if collateralized
- Standard Libor curve otherwise
• 1 forecast curve in ccy2 corresponding to the right
LIBOR tenor
• 1 discount curve in ccy1:
- OIS if collateralized
- Standard LIBOR curve otherwise
- Cross-currency and maybe tenor basis adjustments
Ccy1 is the collateral currency, ccy2 is the other one!
Regulatory and practical obligations• Report to a trade repository (EMIR)
• Ensure there is a Credit Support Annex for
collateral definition and practical details
• Fulfil MiFID transparency obligations
• Collateral management: operations, netting
agreement, thresholds, etc.
• If not collateralized trade:
- Compute CVA/DVA
- Take netting into account
- Consider other trades in portfolio
![Page 41: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/41.jpg)
41© 2018 Deloitte
Contents
Definition and use of derivatives
Classification of derivatives
Linear instruments
Swaps
Non-linear instruments
Structured products
Hybrid products
Recent trends in derivatives markets
OIS discounting
Credit Valuation Adjustment
Illustration: Swap trading in the past and nowadays
Conclusions and key messages
![Page 42: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/42.jpg)
42© 2018 Deloitte
Key Messages
1Definition and use of derivatives
• A financial instrument whose value depends on (or derives from) the value of other basic underlying variables
• Derivatives may be used for hedging, speculation or arbitrage, but always as a mean to transfer risk exposure
2
Derivatives can be classified in 5 categories:
• Linear instruments: essentially Futures and Forwards
• Swaps, valued under the Discounted Cash Flows methodology
• Non-linear instruments: essentially options
• Structured products
• Hybrid products
3Increased care for transparency and management of credit risk have led to new valuation techniques,even for instruments as simple as IRSs
• Multi-curve valuation framework (with OIS discounting)
• Inclusion of valuation adjustments such as CVA and DVA
![Page 43: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/43.jpg)
43© 2018 Deloitte
Thanks for attending
Do you have questions?
Recording of this presentation and many more on our YouTube channel:
https://www.youtube.com/user/DeloitteLuxembourg
![Page 44: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/44.jpg)
Next Link ’n’ Learn - Thursday 8th November
Topic – RPA (Robotics) in the Investment Management Industry
© 2018 Deloitte
![Page 45: Introduction to Derivative Instruments Link “n” Learn · © 2018 Deloitte 8 Linear Instruments • Bilateral contract in which two counterparties agree to buy/sell an underlying](https://reader030.vdocuments.mx/reader030/viewer/2022040105/5e03332ed9e2ea2f2042396a/html5/thumbnails/45.jpg)
Deloitte is a multidisciplinary service organization which is subject to certain regulatory and professional restrictions on the types of services we can provide to our clients, particularly where an audit relationship exists, as independence issues and other conflicts of interest may arise. Any services we commit to deliver to you will comply fully with applicable restrictions.
This communication contains general information only, and none of Deloitte Touche Tohmatsu Limited, its member firms, or their related entities (collectively, the “Deloitte network”) is, by means of this communication, rendering professional advice or services. Before making any decision or taking any action that may affect your finances or your business, you should consult a qualified professional adviser. No entity in the Deloitte network shall be responsible for any loss whatsoever sustained by any person who relies on this communication.
About Deloitte Touche Tohmatsu Limited:
Deloitte refers to one or more of Deloitte Touche Tohmatsu Limited, a UK private company limited by guarantee (“DTTL”), its network of member firms, and their related entities. DTTL and each of its member firms are legally separate and independent entities. DTTL (also referred to as “Deloitte Global”) does not provide services to clients. Please see www.deloitte.com/about for a more detailed description of DTTL and its member firms.
Deloitte provides audit, consulting, financial advisory, risk management, tax and related services to public and private clients spanning multiple industries. Deloitte serves four out of five Fortune Global 500® companies through a globally connected network of member firms in more than 150 countries bringing world-class capabilities, insights, and high-quality service to address clients’ most complex business challenges. To learn more about how Deloitte’s approximately 264,000 professionals make an impact that matters, please connect with us on Facebook, LinkedIn, or Twitter.
© 2018 Deloitte