デリバティブにおけるオプション
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1 Financial Derivative Product Options: A Simulation TAKABAYASHI Shigeki As the reform of the Japanese financial system proceeds, computers are increasingly used to deal with the many complicated financial derivative products (derivatives). Derivative options consist of Long Call, Short Call, Long Put, and Short Put. I have come up with a relatively easy-to-use calculation system, using Excel and VBA, for the study and analysis of derivative options. In this paper, I use this system in a simulation of a combined analysis of options, present values, strike prices, and premiums. financial derivative products 39
2 Call Option Put Option Excel VBA 40
3 Call Option LongShortPut Option LongShort (1) Long Call Premium (2) Short Call Call (3) Long Put 41
4 (4) Short Put Put Call OptionLongShort Put OptionLongShort CallPutLongShort (1) CallPut (2) LongShort (3) 42
5 (4) (5) 43
6 (1) Straddle Long PutLong Call (2) Strangle Long PutLong Call (3) Bear put spread Short PutLong Put 44
7 (4) Bear call spread Short CallLong Call (5) Bull call spread Long CallShort Call (6) Bull put spread Long PutShort Put (7) Call ratio spread Bull call spreadlong CallShort CallShort Call (8) Put ratio spread Short PutBear put spreadshort PutLong Put (9) Call ratio back spread Bear call spreadshort CallLong CallLong Call (10) Put ratio back spread Long PutBull put spreadlong Put Short Put (11) Condor Short strangleshort PutShort CallLong StrangleLong PutLong Call 45
8 K S σ r t C P rt C = SN( d1) Ke N( d2) P = Ke rt N( d2) SN( d1) 2 ln( S / K) + ( r + σ / 2) t d1 = σ t d 2 = d 1 σ 2 = x u 1 2 N( x) e t 2π du (1) Bull call spread S=10000 =30% t=6 =0.05% Long Call K=11000 Short Call K=
9 Long Call 559 Short Call % Bull put spread Excel 47
10 % (2) Bear Put spread S=10000 =30% t=6 =0.05% Short Put K=8500 Long Put K=9200 Short Put 199 Long Put % Bear Call spread 48
11 Excel % 49
12 HV IV (n+1) S0,S1,S2,,Sn Ut=ln(St/St-1) n 1 V= n 1 = t 1 (Ut- U ) 2 = VT T=
13 T=52 T=12 ( 20T % 15.6% 28.5% HV IVHV IV 23 (n=20) Call Put Call LongPut Long Put Long Call 51
14 LongCall Short (Long) Call Long Put Long Straddle Straddle Long Straddle Short Straddle %60% 52
15 Call Put Call Put CallPut Call Long Put Long Strangle Call 1000Put 1000 Straddle Call Put Straddle Strangle Strangle 53
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