FX D-Delta Butterfly Example Pricing

Value FX Option Strategies Here

Inputs
:

 Currency Pair USDJPY (Japanese Yen per US Dollar) 
 Payoff TypeBUTTERFLY 
 Maturity 1M 
 Exercise Date (if no maturity specified) (d[d]/m[mm]/y[y[yy]] format) 
Moneyness Type  RIGHT-HAND-SIDE DELTA 
 Exercise Price (Strike) or Delta (in %)10 (At-The-Money by default)

Output:

Revalued at Market Close as of: Tue 25 Oct 2011

FX Option Strategy:

USDJPY BUTTERFLY

Currency PairUSDJPY (Japanese Yen per US Dollar)
Strikes10.0%-RIGHT-HAND-SIDE DELTA CALL AND PUT
Forward FX RateJPY 75.9029 per USD of Notional Amount
Exercise DateFri 25 Nov 2011

Premium and Greeks

Option Value (Premium)USD -2.25 = JPY -170.93 per USD 100 of Notional Amount
Option Spot Delta (dValue/dSpot)USD value-sensitivity (LHS): USD 2.25, JPY value-sensitivity (RHS): USD 0.0, per USD 100 of Notional Amount
Option Forward Delta (dFwdValue/dFwd)USD value-sensitivity (LHS): USD 2.25, JPY value-sensitivity (RHS): USD 0.0, per USD 100 of Notional Amount
Option Gamma (d2Value/dSpot2)USD value-sensitivity (LHS): -20.25, JPY value-sensitivity (RHS): -20.22, per USD 100 of Notional Amount
Option Vega (dValue/dVol)USD -0.1301 = JPY -9.8892 per % vol increase per USD 100 of Notional Amount
Option Theta (dValue/dTime)USD 0.02 = JPY 1.52 per calendar day per USD 100 of Notional Amount
Option Vanna (dVega/dSpot)USD -0.0011 = JPY -0.0887 per USD of Notional Amount
Option Volga (dVega/dVol)USD 1.239 = JPY 94.1146 per USD of Notional Amount

Long Component 1:

USDJPY CALL

Currency PairUSDJPY (Japanese Yen per US Dollar)
Option TypeUSD CALL / JPY PUT
StrikeJPY 79.8552 per USD of Notional Amount
Exercise DateFri 25 Nov 2011
Forward FX RateJPY 75.9029 per USD of Notional Amount
Volatility13.3894 %

Premium and Greeks

Option Value (Premium)USD 0.18 = JPY 13.81 per USD 100 of Notional Amount
Option Spot Delta (dValue/dSpot)USD value-sensitivity (LHS): USD 9.82, JPY value-sensitivity (RHS): USD 10.0, per USD 100 of Notional Amount
Option Forward Delta (dFwdValue/dFwd)USD value-sensitivity (LHS): USD 9.82, JPY value-sensitivity (RHS): USD 10.0, per USD 100 of Notional Amount
Option Gamma (d2Value/dSpot2)USD value-sensitivity (LHS): 5.79, JPY value-sensitivity (RHS): 5.92, per USD 100 of Notional Amount
Option Vega (dValue/dVol)USD 0.0512 = JPY 3.8857 per % vol increase per USD 100 of Notional Amount
Option Theta (dValue/dTime)USD -0.01 = JPY -0.82 per calendar day per USD 100 of Notional Amount
Option Vanna (dVega/dSpot)USD 0.0228 = JPY 1.731 per USD of Notional Amount
Option Volga (dVega/dVol)USD 0.6464 = JPY 49.0964 per USD of Notional Amount

Long Component 2:

USDJPY PUT

Currency PairUSDJPY (Japanese Yen per US Dollar)
Option TypeUSD PUT / JPY CALL
StrikeJPY 72.1676 per USD of Notional Amount
Exercise DateFri 25 Nov 2011
Forward FX RateJPY 75.9029 per USD of Notional Amount
Volatility13.7283 %

Premium and Greeks

Option Value (Premium)USD 0.19 = JPY 14.63 per USD 100 of Notional Amount
Option Spot Delta (dValue/dSpot)USD value-sensitivity (LHS): USD -10.19, JPY value-sensitivity (RHS): USD -10.0, per USD 100 of Notional Amount
Option Forward Delta (dFwdValue/dFwd)USD value-sensitivity (LHS): USD -10.19, JPY value-sensitivity (RHS): USD -10.0, per USD 100 of Notional Amount
Option Gamma (d2Value/dSpot2)USD value-sensitivity (LHS): 5.91, JPY value-sensitivity (RHS): 5.77, per USD 100 of Notional Amount
Option Vega (dValue/dVol)USD 0.0512 = JPY 3.8857 per % vol increase per USD 100 of Notional Amount
Option Theta (dValue/dTime)USD -0.01 = JPY -0.87 per calendar day per USD 100 of Notional Amount
Option Vanna (dVega/dSpot)USD -0.0208 = JPY -1.5871 per USD of Notional Amount
Option Volga (dVega/dVol)USD 0.5927 = JPY 45.0182 per USD of Notional Amount

Short Component 3:

USDJPY CALL

Currency PairUSDJPY (Japanese Yen per US Dollar)
Option TypeUSD CALL / JPY PUT
StrikeJPY 75.944 per USD of Notional Amount
Exercise DateFri 25 Nov 2011
Forward FX RateJPY 75.9029 per USD of Notional Amount
Volatility11.289 %

Premium and Greeks

Option Value (Premium)USD 1.29 = JPY 97.63 per USD 100 of Notional Amount
Option Spot Delta (dValue/dSpot)USD value-sensitivity (LHS): USD 48.69, JPY value-sensitivity (RHS): USD 49.98, per USD 100 of Notional Amount
Option Forward Delta (dFwdValue/dFwd)USD value-sensitivity (LHS): USD 48.71, JPY value-sensitivity (RHS): USD 50.0, per USD 100 of Notional Amount
Option Gamma (d2Value/dSpot2)USD value-sensitivity (LHS): 15.32, JPY value-sensitivity (RHS): 15.96, per USD 100 of Notional Amount
Option Vega (dValue/dVol)USD 0.1163 = JPY 8.8303 per % vol increase per USD 100 of Notional Amount
Option Theta (dValue/dTime)USD -0.02 = JPY -1.52 per calendar day per USD 100 of Notional Amount
Option Vanna (dVega/dSpot)USD 0.0015 = JPY 0.1163 per USD of Notional Amount
Option Volga (dVega/dVol)USD 0.0 = JPY 0.0 per USD of Notional Amount

Short Component 4:

USDJPY PUT

Currency PairUSDJPY (Japanese Yen per US Dollar)
Option TypeUSD PUT / JPY CALL
StrikeJPY 75.944 per USD of Notional Amount
Exercise DateFri 25 Nov 2011
Forward FX RateJPY 75.9029 per USD of Notional Amount
Volatility11.289 %

Premium and Greeks

Option Value (Premium)USD 1.34 = JPY 101.74 per USD 100 of Notional Amount
Option Spot Delta (dValue/dSpot)USD value-sensitivity (LHS): USD -51.31, JPY value-sensitivity (RHS): USD -49.97, per USD 100 of Notional Amount
Option Forward Delta (dFwdValue/dFwd)USD value-sensitivity (LHS): USD -51.34, JPY value-sensitivity (RHS): USD -50.0, per USD 100 of Notional Amount
Option Gamma (d2Value/dSpot2)USD value-sensitivity (LHS): 16.63, JPY value-sensitivity (RHS): 15.96, per USD 100 of Notional Amount
Option Vega (dValue/dVol)USD 0.1163 = JPY 8.8303 per % vol increase per USD 100 of Notional Amount
Option Theta (dValue/dTime)USD -0.02 = JPY -1.69 per calendar day per USD 100 of Notional Amount
Option Vanna (dVega/dSpot)USD 0.0015 = JPY 0.1163 per USD of Notional Amount
Option Volga (dVega/dVol)USD 0.0 = JPY 0.0 per USD of Notional Amount

The inventory of an options' trader is always denominated in terms of the Greeks. These quantities express the risk to which the trader's portfolio of options is exposed. For the Wikipedia explanation of Greeks, please Click Here

(c) Reference Derivatives 2011
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