What’s Fair About This Value?
FX & Energy Derivative Valuations
Michael Corley and Phil Weeber
TEXPO – April 3-5, 2011
Session Overview
What is a Fair Value?
Valuation building blocks
Valuation of a currency forward
Valuation of a energy derivatives
Common valuation pitfalls
2
Understanding Fair Value
“Fair value is the price that would be received to sell an asset or paid to transfer a
liability in an orderly transaction between market participants at the
measurement date.” (ASC 820/FAS 157)
Exit price (transfer price, NOT termination price): The price that would be paid to
transfer a liability to another party with similar credit risk – the liability is assumed to
continue (not to be settled)
Market participants: Buyers and sellers that are independent, knowledgeable, able, and
willing
Transaction is a hypothetical transaction at the measurement date, considered from the
perspective of how a market participant would value the asset or the liability, considered
from the perspective of a market participant that holds the asset or owes the liability
Understanding Fair Value (cont.)
Similar Credit Risk: No specific methodology is prescribed in the accounting literature for
calculating Credit Value Adjustments (CVAs)
Required inputs to calculate CVAs:
Trade-level details:
Type of trade, notional, maturity, expected cash flows
Portfolio content:
Required for netting
Market data:
Interest rates, FX rates, volatility, correlations
Credit spreads:
Probability of default, loss given default
Credit enhancements:
Collateral
The Fair Value Continuum
Reliable/Verifiable
Subjective/Less Reliable
Level 1
Level 2
Level 3
Quoted Prices in
Valuation Techniques –
Valuation Techniques –
Active Markets
Observable Inputs
Unobservable Inputs
Session Overview
What is a Fair Value?
Valuation building blocks
Valuation of a currency forward
Valuation of natural gas derivative
Common valuation pitfalls
5
Valuation Building Blocks
Discounting Future Cash Flows
A bird in hand is better than a bird in two weeks…
1
PV = FV
(1+i)n
– PV
Present value
– i
Discount rate for period
– n
Number of periods
– FV
Future value
Example: If I am owed $1,000 in 2 years, what is the
present value (assume my personal discount rate is 5%) ?
PV = 1 / (1 + 0.05)2 x $1,000 = $907.03
The big question becomes What discount rate?
6
Valuation Building Blocks
Discounting Future Cash Flows
Markets provide rates for standard contracts and for spot starting
structures
7
Valuation Building Blocks
Applying the Forward Curve
Market data is used to construct the forward curve
Cash flows at different points in time will be discounted at
different discount rates
6.0%
5.0%
4.0%
3.0%
2.0%
1-month LIBOR Forward Curve
1.0%
0.0%
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Session Overview
What is a Fair Value?
Valuation building blocks
Valuation of a currency forward
Valuation of energy derivatives
Common valuation pitfalls
9
Valuation of Forward Contracts
A Foreign Exchange Contract
A currency forward is an agreement between two counterparties to exchange
one set amount of currency for another set amount of a different currency on
a specific date
Key terminology:
Notional:
The currency amounts
Settlement Date:
The date on which the currencies will be exchanged
Exchange rate:
The rate that will be used to convert currencies
Forward direction:
Which counterparty is selling which currency
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