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Off - Balance Sheet Activities. Off balance sheet activities. Contingent assets or liabilities that impact the future of the Financial Institutions balance sheet and solvency. Claim moves to the asset or liability side of the balance sheet respectively IF a given event occurs.

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off balance sheet activities1
Off balance sheet activities
  • Contingent assets or liabilities that impact the future of the Financial Institutions balance sheet and solvency.
  • Claim moves to the asset or liability side of the balance sheet respectively IF a given event occurs.
  • Often reported in footnotes or not reported buried elsewhere in financial statements
obs examples
OBS examples
  • Derivatives -- Value or worth is based upon the value of an underlying asset
  • Basic Examples -- Futures, Options, and Swaps
  • Other examples -- standby letters of credit and other performance guarantees
large derivative losses
Large Derivative Losses
  • 1994 Procter and Gamble sue bankers trust over derivative losses and receive $200 million.
  • 1995 Barings announces losses of $1.38 Billion related to derivatives trading of Nick Lesson
  • NatWest Bank finds losses of 77 Million pounds caused by mispricing of derivatives
large derivative losses1
Large Derivative Losses
  • 1997 Damian Cope, Midland Bank, is banned by federal reserve over falsification of records relating to derivative losses
  • 1997 Chase Manhattan lost $200 million on trading in emerging market debt derivative instruments
  • LTCM exposure of $1.25 trillion in derivatives rescued by consortium of bankers
use of option pricing
Use of option pricing
  • One way to measure the risk of a contingent liability is to use option pricing.
  • Delta of an option = the sensitivity of an options value to a unit change in the price of the underlying asset.
options
Options
  • Call Option – the right to buy an asset at some point in the future for a designated price.
  • Put Option – the right to sell an asset at some point in the future at a given price
call option profit
Call Option Profit
  • Call option – as the price of the asset increases the option is more profitable.
  • Once the price is above the exercise price (strike price) the option will be exercised
  • If the price of the underlying asset is below the exercise price it won’t be exercised – you only loose the cost of the option.
  • The Profit earned is equal to the gain or loss on the option minus the initial cost.
profit diagram call option
Profit Diagram Call Option

Profit

Spot

Cost Price

S-X-C

S

X

call option intrinsic value
Call Option Intrinsic Value
  • The intrinsic value of a call option is equal to the current value of the underlying asset minus the exercise price if exercised or 0 if not exercised.
  • In other words, it is the payoff to the investor at that point in time (ignoring the initial cost)

the intrinsic value is equal to

max(0, S-X)

payoff diagram call option
Payoff Diagram Call Option

Payoff

Spot

Price

S-X

X

S

X

put option profits
Put Option Profits
  • Put option – as the price of the asset decreases the option is more profitable.
  • Once the price is below the exercise price (strike price) the option will be exercised
  • If the price of the underlying asset is above the exercise price it won’t be exercised – you only loose the cost of the option.
profit diagram put option
Profit Diagram Put Option

Profit

Spot Price

Cost

X-S-C

S

X

put option intrinsic value
Put Option Intrinsic Value
  • The intrinsic value of a put option is equal to exercise price minus the current value of the underlying asset if exercised or 0 if not exercised.
  • In other words, it is the payoff to the investor at that point in time (ignoring the initial cost)

the intrinsic value is equal to

max(X-S, 0)

payoff diagram put option
Payoff Diagram Put Option

Profit

Spot Price

Cost

X-S

X

S

pricing an option
Pricing an Option
  • Black Scholes Option Pricing Model
  • Based on a European Option with no dividends
  • Assumes that the prices in the equation are lognormal.
inputs you will need
Inputs you will need

S = Current value of underlying asset

X = Exercise price

t = life until expiration of option

r = riskless rate

s2 = variance

pv and fv in continuous time
PV and FV in continuous time
  • e = 2.71828 y = lnx x = ey

FV = PV (1+k)n for yearly compounding

FV = PV(1+k/m)nm for m compounding periods per year

As m increases this becomes

FV = PVern =PVert let t =n

rearranging for PV PV = FVe-rt

black scholes
Black Scholes
  • Value of Call Option = SN(d1)-Xe-rtN(d2)

S = Current value of underlying asset

X = Exercise price

t = life until expiration of option

r = riskless rate

s2 = variance

N(d ) = the cumulative normal distribution (the probability that a variable with a standard normal distribution will be less than d)

black scholes intuition
Black Scholes (Intuition)
  • Value of Call Option

SN(d1)- Xe-rtN(d2)

The expectedPV of costRisk Neutral

Value of Sof investmentProbability of

if S > X S > X

black scholes1
Black Scholes
  • Value of Call Option = SN(d1)-Xe-rtN(d2)

Where:

delta of an option
Delta of an option
  • Intuitively a higher stock price should lead to a higher call price. The relationship between the call price and the stock price is expressed by a single variable, delta.
  • The delta is the change in the call price for a very small change it the price of the underlying asset.
delta
Delta
  • Delta can be found from the call price equation as:
  • Using delta hedging for a short position in a European call option would require keeping a long position of N(d1) shares at any given time. (and vice versa).
delta explanation
Delta explanation
  • Delta will be between 0 and 1.
  • A 1 cent change in the price of the underlying asset leads to a change of delta cents in the price of the option.
applying delta
Applying Delta
  • The value of the contingent value is simply:

delta x Face value of the option

If Delta = .25 and

The value of the option = $100 million

then

Contingent asset value = $25 million

obs options
OBS Options
  • Loan commitments and credit lines basically represent an option to borrow (essentially a call option)
  • When the buyer of a guaranty defaults, the buyer is exercising a default option.
adjusting delta
Adjusting Delta
  • Delta is at best an approximation for the nonlinear relationship between the price of the option and the underlying security.
  • Delta changes as the value of the underlying security changes. This change is measure by the gamma of the option. Gamma can be used to adjust the delta to better approximate the change in the option price.
gamma of an option
Gamma of an Option
  • The change in delta for a small change in the stock price is called the options gamma:
  • Call gamma =
futures and swaps
Futures and Swaps
  • Some OBS activities are not as easily approximated by option pricing.
  • Futures, Forward arrangements and swaps are generally priced by looking at the equivalent value of the underlying asset.
  • For example: A swap can be valued as the combination of two bonds with cash flows identical to each side of the swap.
impact on the balance sheet
Impact on the balance sheet
  • Start with a traditional simple balance sheet
  • Since assets = liabilities + equity it is easy to find the value of equity

Equity = Assets - Liabilities

Example: Asset = 150 Liabilities = 125

Equity = 150 - 125 = 25

simple balance sheet
Assets

Market Value of Assets 150

Total 150

Liabilities

Market Value of Liabilities 125

Equity (net worth) 25

Total 150

Simple Balance Sheet
contingent assets and liabilities
Contingent Assets and Liabilities
  • Assume that the firm has contingent assets of 50 and contingent liabilities of 60.
  • the equity position of the firm will be reduced by 10 to 15.
simple balance sheet1
Assets

Market Value of Assets 150

MV of Contingent Assets 50

Total 200

Liabilities

Market Value of Liabilities 125

Equity (net worth) 15

MV of contingent Liabilities 60

Total 200

Simple Balance Sheet
reporting obs activities
Reporting OBS Activities
  • In 1983 the Fed Res started requiring banks to file a schedule L as part of their quarterly call report.
  • Schedule L requires institutions to report the notional size and distribution of their OBS activities.
growth in obs activity
Growth in OBS activity
  • Total OBS commitments and contingencies for US commercial banks had a notional value of $10,200 billion in 1992 by 2000 this value had increased 376% to $46,529 billion!
  • For comparison in 1992 the notional value of on balance sheet items was $3,476.4 billion which grew to $6,238 billion by 2000 or growth of 79%
common obs securities
Common OBS Securities
  • Loan commitments
  • Standby letters of Credit
  • Futures Forwards and Swaps
  • When Issues Securities
  • Loans Sold
loan commitments
Loan commitments
  • 79% of all commercial and industrial lending takes place via commitment contracts
  • Loan Commitment -- contractual commitment by the FI to loan up to a maximum amount to a firm over a defined period of time at a set interest rate.
loan commitment fees
Loan commitment Fees
  • The FI charges a front end fee based upon the maximum value of the loan (maybe 1/8th of a percent) and a back end fee at the end of the commitment on any unused balance. (1/4 of a %).
  • Back end fee encourages firms to draw down its balance -- why is this good for the FI?
  • The firm can borrow up to the maximum amount at any point in time over the life of the commitment
loan commitment risks
Loan Commitment Risks
  • Interest rate risk -- The FI precommits to an interest rate (either fixed or variable), the level of rates may change over the commitment period.
  • If rates increase, cost of funds may not be covered and firms more likely to borrow.
  • Variable rates do not eliminate the risk due to basis risk
    • basis risk = the risk that the spread between lending and borrowing rates may change.
loan commitment risks1
Loan Commitment Risks
  • Takedown Risk -- the FI must be able to supply the maximum amount at any given time during the commitment period, therefore there is a liquidity risk for the firm.
  • Feb 2002 - Tyco International was shut out of commercial paper market and it drew down $14.4 billion loan commitments made by major banks.
loan commitment risk
Loan Commitment Risk
  • Credit Risk -- the firm may default on the loan after it takes advantage of the commitment.
  • The credit worthiness of the borrower may change during the commitment period without compensation for the lender.
loan commitment risk1
Loan Commitment Risk
  • Aggregate Funding Risks -- Many borrower view loan commitment as insurance against credit crunches. If a credit crunch occurs (restrictive monetary policy or a simple downturn in economy) the amount being drawn down in aggregate will increase through out the banking system
letters of credit
Letters of Credit
  • Commercial Letters of credit - A formal guaranty that payment will be made for goods purchased even if the buyer defaults
  • The idea is to underwrite the common trade of the firm providing a safety net for the seller and facilitating the sale of the goods.
  • Used both domestically and internationally
letter of credit
Letter of Credit
  • Standby letters of credit -- Letters of credit contingent upon a given event that is less predicable than standard letters of credit cover.
  • Examples may be guaranteeing completion of a real estate development in a given period of time or backing commercial paper to increase credit quality. Many small borrowers are shut out of commercial paper without these.
future and forward contracts
Future and Forward contracts
  • Both Futures and Forward contracts are contracts entered into by two parties who agree to buy and sell a given commodity or asset (for example a T- Bill) at a specified point of time in the future at a set price.
futures vs forwards
Futures vs. Forwards
  • Future contracts are traded on an exchange, Forward contracts are privately negotiated over-the-counter arrangements between two parties.
  • Both set a price to be paid in the future for a specified contract.
  • Forward Contracts are subject to counter party default risk, The futures exchange attempts to limit or eliminate the amount of counter party default risk.
forwards vs futures
Forwards vs. Futures

Forward Contracts Futures Contracts

Private contract between Traded on an exchange

two parties

Not Standardized Standardized

Usually a single delivery date Range of delivery dates

Settled at the end of contract Settled daily

Delivery or final cash Contract is usually closed

settlement usually takes place out prior to maturity

options and swaps
Options and Swaps
  • Sold in the over the counter market both can be used to manage interest rate risk.
forward purchases of when issued securities
Forward Purchases of When Issued Securities
  • A commitment to purchase a security prior to its actual issue date. Examples include the commitment to buy new treasury bills made in the week prior to their issue.
loans sold
Loans Sold
  • Loans sold provide a means of reducing risk for the FI.
  • If the loan is sold with no recourse the FI does not have an OBS contingency for the FI.
  • The loan can have a ability to be put back to the asset or seller in the event of a decline in credit quality creating an OBS risk.
settlement risk
Settlement Risk
  • Intraday credit risk associated with the Clearing House Interbank Transfer Payments System (CHIPS).
  • Payment messages sent on CHIPS are provisional messages that become final and settled at the end of the day usually via reserve accounts at the Fed.
settlement risk1
Settlement Risk
  • When it receives a commitment the FI may loan out the funds prior to the end of the day on the assumption that the actual transfer of funds will occur accepting a settlement risk.
  • Since the Balance sheet is at best closed a the end of the day, this represents an intraday risk, this has been addressed somewhat by new technology.
affiliate risk
Affiliate Risk
  • Risk of one holding company affiliate failing and impacting the other affiliate of the holding company.
  • Since the two affiliates are operationally they are the same entity even thought they are separate entities under the holding company structure
obs benefits
OBS Benefits
  • We have concentrated on the risk associated with OBS activities, however many of the positions are designed to reduce other risks in the FI.
credit default swap
Credit Default Swap
  • The buyer makes an upfront payment or a stream of payments to the seller of the swap.
  • The seller agrees to make a stream of payments in the event of default by a third party on a reference obligation.
basic credit default swap
Basic Credit Default Swap

Upfront Payment or

Stream of payments

Default

Swap

Seller

Default Swap Buyer

Payment in the

Event of Default

Return on

Reference

Obligation

Original

Payment

Reference Obligation Issuer

credit default swap as an option
Credit Default Swap as an Option
  • The Credit Default Swap is basically a put option on the reference obligation.
  • The default buyer owns the put option which effectively allows the reference obligation to be sold to the CDS seller in event of default.
intuition
Intuition
  • Assume that the reference obligation is a bond
  • If the price of a bond decreases due to a change in credit quality, the value of the put option increases. This implies that the value of the CDS increases.
  • The CDS buyer could sell the obligation at a premium compared to what was paid originally.
what constitutes default
What Constitutes Default
  • The CDS parties can agree to any or all of the events below
    • Bankruptcy
    • Failure to Pay
    • Obligation Acceleration
    • Obligation Default
    • Repudiation or deferral
    • Restructuring
what does not constitute default
What Does not Constitute Default
  • Downgrade by rating agency
  • Non Material events (error by employee causing a missed payment etc.)
hedge against default
Hedge against Default
  • In the event of a default the swap buyer is hedged against the risk of default.
  • The CDS is effectively an insurance policy against default.
  • The risk of default is transferred to the seller of the CDS.
hedge against credit deterioration
Hedge against credit deterioration?
  • Since rating agency changes do not constitute default how are credit changes hedged
  • If the CDS is marketed to market then the change in value serves as a hedge against changes in credit quality
an example
An Example
  • Assume that the CDS buyer owns an 7% coupon bond and the return on a similar maturity treasury is 5%.
  • Assume that both bonds have a current value of $1 Million (equal to their par value)
  • Assume the buyer pays 2% per year for the duration of the swap and receives $1 Million in the even of default.
  • The combination of the CDS and 8% bond have effectively the same payoff as the treasury
credit default swap1
Credit Default Swap

2% per year

Default

Swap

Seller

Default Swap Buyer

$1 Million in the

Event of Default

7% per year

$1 Million

Reference Obligation Issuer

risks in the cds
Risks in the CDS
  • The CDS seller may default
  • We assumed that the spread between the two bonds stays constant over time and that the duration and convexity of the bonds stays the same. (unlikely especially for a bond closeto default)
  • We have ignored accrued interest
  • There could be a liquidity premium for the risky bond causing it to sell for less than its true value.
other cds variations
Other CDS variations
  • Binary or Digital Default Swap – Payoff is a single lump sum often based upon recovery rates.
  • Basket CDS - the reference obligation is a basket of obligations
    • N to default – default exists when the Nth obligatin defaults
    • First to default
  • Cancelable DS –either the buyer (call) or seller (put) has the right to cancel the default swap
cds variations continued
CDS Variations continued
  • Contingent CDS – triggered if both the default and a second event occur
  • Leveraged CDS – Payoff is a multiple of the loss amount often the standard CDS amount plus a % of the notional value
  • Tranched Portfolio Swaps – A variation of CDOs
benefits of cds
Benefits of CDS
  • The risk is transferred to a financial institution that often has better ability to hedge the risk than the swap buyer.
  • Allows lenders to hedge the risk of high risk loans without jeopardizing the lender – client relationship
  • Reduction of regulatory capital.
a costless reduction in risk
A costless reduction in risk
  • Assume that Bank A has sold a CDS to Co X on a 100,000,000 notional amount and is receiving a 3% semi annual interest rate
  • Similarly Bank B has the same agreement with Co Y.
  • Assuming both company’s have the same credit quality
  • By exchanging a portion of the notional value of the swap the banks can diversify the credit risk without any costs.
credit default swap risk sharing
Credit Default SwapRisk Sharing

$50 M of CDS

With Co X

Bank

A

Bank

B

$50 M of CDS

With Co Y

3% on $100M

Payment

If Default

Payment

If Default

3% on $100M

Company

Y

Company

X