Foreign currency - Rupee Options
A.P. (DIR Series) (2002-2003) Circular No. 108, dated 21-6-2003
As a part of
developing the derivative market in India and adding to the spectrum of hedge
products available to residents and non-residents for hedging currency
exposures, it has been decided to permit foreign currency - rupee options with
effect from July 7, 2003. Authorised dealers will be permitted to offer the
product under the following terms and conditions:
(a) This product may be
offered by authorised dealers having a minimum CRAR of 9 per cent, on a
back-to-back basis.
(b) Authorised dealers having
adequate internal control, risk monitoring/ management systems, mark to market
mechanism and fulfilling the following criteria will be allowed to run an option
book after obtaining a one time approval from the Reserve Bank:
i. Continuous
profitability for at least three years
ii. Minimum
CRAR of 9 per cent
iii. Net NPAs at reasonable levels (not more
than 5 per cent of net advances)
iv. Minimum
Net worth not less than Rs. 200 crore
(c) Initially,
authorised dealers can offer only plain vanilla European options.
(d) i. Customers can purchase call or put
options.
ii. Customers can also
enter into packaged products involving cost reduction structures provided the
structure does not increase the underlying risk and does not involve customers
receiving premium.
iii. Writing
of options by customers is not permitted.
(e) Authorised dealers shall
obtain an undertaking from customers interested in using the product that they
have clearly understood the nature of the product and its inherent risks.
(f) Authorised dealers may
quote the option premium in Rupees or as a percentage of the Rupee/foreign
currency notional.
(g) Option contracts may be
settled on maturity either by delivery on spot basis or by net cash settlement
in Rupees on spot basis as specified in the contract. In case of unwinding of a
transaction prior to maturity, the contract may be cash settled based on the
market value of an identical offsetting option.
(h) All the conditions
applicable for booking, rolling over and cancellation of forward contracts
would be applicable to option contracts also. The limit available for booking
of forward contracts on past performance basis- i.e. contracts outstanding not
to exceed 25 per cent of the average of the previous three years’ import/export
turnover within a cap of USD 100 mio- would be inclusive of option
transactions. Higher limits will be permitted on a case-by-case basis on
application to the Reserve Bank as in the case of forward contracts.
(i) Only one hedge
transaction can be booked against a particular exposure/ part thereof for a
given time period.
(j) Option contracts cannot
be used to hedge contingent or derived exposures (except exposures arising out
of submission of tender bids in foreign exchange).
(a) Customers who have
genuine foreign currency exposures in accordance with Schedules I and II of
Notification No. FEMA 25/2000-RB, dated May 3, 2000 as amended from time to
time are eligible to enter into option contracts.
(b) Authorised dealers can
use the product for the purpose of hedging trading books and balance sheet
exposures.
(a) Authorised dealers
wishing to run an option book and act as market makers may apply to the Chief
General Manager, Reserve Bank of India, Exchange Control Department, Forex
Markets Division, Central Office, Fort, Mumbai-400 001 with a copy of the
approval of the Competent Authority (Board/Risk Committee/ALCO) and a copy of
the detailed memorandum put up in this regard. Authorised dealers who wish to
use the product on a back-to-back basis may keep the above Division informed in
this regard.
(b) Market makers would be
allowed to hedge the ‘Delta’ of their option portfolio by accessing the spot
markets. Other ‘Greeks’ may be hedged by entering into option transactions in
the inter-bank market. The ‘Delta’ of the option contract would form part of
the overnight open position. As regards inclusion of option contracts for the
purpose of ‘AGL’, the “delta equivalent” as at the end of each maturity shall
be taken into account. The residual maturity (life) of each outstanding option
contracts can be taken as the basis for the purpose of grouping under various
maturity buckets. ( For definition of the various ‘Greeks’ relating to option
contracts, please refer the report of the RBI Technical Committee on foreign
currency-rupee options - relevant extracts are given in Annexure II).
(c) For the present,
authorised dealers are expected to manage the option portfolio within the risk
management limits already approved by the Reserve Bank.
(d) Authorised dealers
running an option book are permitted to initiate plain vanilla cross currency
option positions to cover risks arising out of market making in foreign
currency-rupee options.
(e) Banks should put in place
necessary systems for marking to market the portfolio on a daily basis. FEDAI
will publish daily a matrix of polled implied volatility estimates, which
market participants can use for marking to market their portfolio.
Authorised
dealers are required to report to the Reserve Bank on a weekly basis the
transactions undertaken as per the format appended to this circular, Annexure
I.
The accounting
framework for option contracts will be as per FEDAI Circular No.
SPL-24/FC-Rupee Options /2003, dated May 29,2003.
Market
participants may follow only ISDA documentation.
Capital
requirements will be as per guidelines issued by our Department of Banking
Operations and Development (DBOD) from time to time.
Banks should
train their staff adequately and put in place necessary risk management systems
before they undertake option transactions. They should also take steps to
familiarise their constituents with the product.
The need for
continuance of the product will be reviewed after six months based on the
market development.
Necessary
amendments to the Foreign Exchange Management Regulations, 2000 are being
issued separately.
Authorised
dealers may bring the contents of this circular to the notice of their
constituents concerned.
The directions
contained in this circular have been issued under section 10(4) and section
11(1) of the Foreign Exchange Management Act, 1999 (42 of 1999).
Option Transaction Report for the week
ended__________________
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Trade date |
Client/Notional
C-party Name |
Option Call/Put |
Strike |
Maturity |
Premium |
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Delta
The delta of an FX option is the rate of
change of the option price with respect to the change in the underlying
exchange rate. Mathematically, delta is the partial derivative of the option
price with respect to the exchange rate.
r= |
∂C |
|
∂C |
Where C is the value of the option and S
is the underlying spot exchange rate.
Under Black & Scholes model, the
delta of European call options on a currency is given by
r = e-rft N(d1)
And for European put option on a
currency,
r = e-rfT [N(d1) -1]
As per the Black Scholes model it is
possible to set up a riskless portfolio i.e. hedge one’s risk by taking a
position in the underlying for a position in the derivative. Expressed in terms
of delta, the riskless portfolio is:
-1: Option
+r: USD/INR
The delta of an option changes with
exchange rate. So to remain hedged, delta has to be rebalanced periodically.
Gamma
The gamma, G, of a foreign exchange
option is the rate of change of the delta of the option with respect to change
in the exchange rate. It is the second partial derivative of the portfolio with
respect to the exchange rate :
Ґ= |
∂2C |
∂S2 |
For European call or put option on a
currency,
Ґ = e-rfT N’(d1)/SosT½
A small gamma indicates that the delta
changes slowly and hence the adjustments to keep a portfolio delta neutral are
relatively infrequent. However, for large gamma the frequency of adjustments is
relatively higher. The Gamma of a portfolio can be changed only using
derivatives. A position in either the underlying itself or a forward contract
on the underlying has zero gamma and cannot be used to change the gamma of a
portfolio.
Vega
The Vega of an option, V, is the rate of
change of the value of the option with respect to the volatility of the
exchange rate:
v= |
∂C |
∂ó |
Here, ó is the volatility of the
underlying exchange rate. Under Black Scholes model, this would be estimated as
the standard deviation of the lognormal returns of the underlying FX price time
series.
Under the Black Scholes model, for
European call or put option on a currency,
V = SoT½N’(d1) e-rfT
If Vega is high in absolute terms, the
portfolio’s value is very sensitive to small changes in volatility. A position
in the underlying asset or in a forward contract has zero Vega. However, the
Vega of a portfolio can be changed by adding a position in a traded option. If
V is the Vega of the portfolio and VT is the Vega of a traded option, a
position of -V/VT in the traded option makes the portfolio Vega neutral.
Theta
The theta of an option, Q, is the rate of
change of the option with respect to the passage of time. Theta is also
referred to as the time decay of the option. Theta is usually negative for an
option (An exception to this could be an in-the-money European call option on a
currency with very high interest rates). This is because as time passes, the
option tends to become less valuable.
Theta is not the same type of hedge
parameter as delta. There is uncertainty about the future stock price, but
there is no uncertainty about the passage of time.
Rho
Rho is the rate of change of the option
value with respect to the interest rate.
p= |
∂C |
∂r |
In case of currency options, there are
two rhos corresponding to the two interest rates. The rho corresponding to the
domestic interest rate is given by
Call: p = X
T e-rT N(d2)
Put: p = -X
T e-rT N(-d2)
The rho corresponding to the foreign
interest rate is given by
Call: p = -T
e-rfT So N(d1)
Put: p = T
e-rfT So N(-d1)
Interest rate have comparatively lower volatility. For longer tenure options rho can be hedged using interest rate swaps (MIFOR curve to hedge INR Rho and USD LIBOR swaps to hedge USD Rho).