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EconomicMotivation
1.1GoldPriceAnalysis
Long-termtrend
2000
1600
1000
300
20052006200720082009201020112012
Short-termvolatility
1800
1700
1600
1500
2012.62012.72012.82012.92012.102012.112012.12
Investors’concern:eagertogainbenefitfromrisingtrendofgoldprice,however,how
tominimizetheriskcausedbypricevolatility?
GoldenFinger
1.2Marketing
1.Producthighlight
Priceupandhitsbarrier
Goldpriceincreases
Earlyredemptiontoenjoythehigh
returnimmediately.Noworriesaboutthegoldpricefallingdownlater.
Higherexpectedannualizedreturnthan3-yearrisk-freerate.Thebestcaseis
morethan200%forTrancheB.
Differentpreferences
price
Twotrancheswithdifferentreturnsandrisksprefences.
Golddecreases
Nomatterhowlowthegoldprice
becomes,principalguaranteedallthetime.
GoldenFinger
2.ComparisonbetweenOurProductandAlternatives
GoldenFinger
GoldBar
/Coin/Jewelry
GoldCertificate
GoldFutures
Minimuminvestmentthreshold
Low
Medium
Low
High
Costofstorageandtransfer
Low
High
Low
Low
Floorofpossibleloss
Yes
No
No
No
ProductDesign
2.1ProductDescription
GoldenFinger:anoptionbasednotewithfloatingdividendpayment.
ProductProfile
Gold-linkednoteReferredasGLNinthefollowing
Referenceasset:SpotGoldcontract(AU99.95),ShanghaiGoldExchange
Investmentperiod:3years
Facevalue:RMB1,000
Productspecification-(3-yearcontinuouscompoundingrisk-freerate4.5%)
TrancheA
TrancheB
Issueprice
1,000
1,100
PrincipleGuaranteeatmaturity
1,000(100%guaranteed)
1,000(90.91%guaranteed)
Option-baseddividendpaymentatredemption
70%*conditionalyieldonreferenceasset*1,000
130%*conditionalyieldonreferenceasset*1,000
Participationrate
70%
130%
Subscriptionfee(ofissueprice)
2.8%(28pernote)
4.0%(44pernote)
GoldenFinger
2.2Option-basedYield
ConditionalyieldandRedemptiondatedependonappreciationofunderlyingpriceandbarrierL.SetL/S0=1.25
Underlyingpricedidnothitthebarrierbeforematurity.
Conditionalyield
25%
0
K=S01.25S0
Conditionalyieldatmaturity
=Max(MinST/K?1,25%,0)
Underlyingpriceatmaturity
Conditionalyieldiscollaredwithin[0,25%]andproductceasesnaturally.
?FacevalueRMB1,000+option-baseddividendwillbesettledincash.
?Redemptiondate:Atyear3(Maturity)
GoldenFinger
2.3PrincipalGuarantee
Bearmarket
Underlyingpricedidnothitthebarrierbeforematurity
Underlyingprice
L=1.25S0
T
Time
Goldpricedecreases
Principalguarantee
Conditionalyieldatbearmarket=0%
NoDividendpayment
InBearmarket,GoldenFingerpromisesyoutogetatleasttheprincipalbackeventhoughunderlyingpricedecreases.
Redemptiondate:Atyear3(Maturity)
GoldenFinger
2.4EarlyRedemption
Volatilemarket
Underlyingpricehitthebarrierattimet
Underlyingprice
25%
5%
STime
tT
25%
Conditionalyieldatearlyredemption
=Minst/k?1,25%=25%
Earlyredemptionisexercisedoncehitthebarrieratanytimetbeforematurity
?Aclose-to-highestyield(25%)isrealizedonunderlyingratherthanalower5%appreciationatmaturity.
?Investorssuccessfullygetridoftheriskthatunderlyingpricefallsdownafteran
extremeincrease
GoldenFinger
2.5FlexibleSettlement
Volatilemarket
Underlyingpricehitthebarrierattimet
Underlyingprice
Cashsettlementifearlyredeemed
S
Time
25%
T
t
Plan1
DiscountedprincipalDividendpayment
Plan2
DividendpaymentPrincipal
GoldenFinger
2.6InvestmentReturn
3-yearrisk-freerate
4.50%
Redemptiondate
Spotgoldpricechange
TrancheA
TrancheB
Issuepriceca.
100%
Issuepriceca.
110%
Participationrate
70%
Participationrate
130%
Valueatredemption
AnnualInv.return
Valueatredemption
AnnualInv.return
Atmaturity(3year)
25%
117.5%
5.5227%
132.5%
6.3999%
15%
110.5%
3.3842%
119.5%
2.7997%
5%
103.5%
1.1533%
106.5%
-1.0721%
0%
100%
0.0%
100.0%
-3.1271%
-10%
100%
0.0%
100.0%
-3.1271%
Ifredeemedwithin
Spotgoldpricechange
Valueatredemption
Minimum
annualizedreturn
Valueatredemption
Minimum
annualizedreturn
2.5year
25%
115.3%
5.8685%
130.3%
7.0167%
2year
25%113.2%6.3926%128.2%7.9536%
25%111.1%7.2763%126.1%9.5400%
1.5year
1year
25%
109.1%
9.0730%
124.1%
12.7936%
0.5year
25%
107.1%
14.6605%
122.1%
23.1689%
0.25year
25%
106.1%
26.7213%
121.1%
46.8911%
0.1year
25%
105.5%
71.0774%
120.5%
149.1888%
Theearlierproductisredeemed,thehigherannualizedinvestmentreturnisrealized.
Investmentreturnisquitesensitivetotheearlyredemptionarrangement.
*Minimumannualizedreturnwithearlyredemptionisbasedondiscountedprincipalpayment.
GoldenFinger
2.7ARealCase
Spotgoldprice
400
Assume:
380
Aug.19,2011
360
340
320
300
280
Issuedate:Mar.1st,2011Spotprice:RMB302.13
OnAug.19,2011,spotgoldpricewouldhitthebarrierof377.66,leadingtoearlyredemption.
Annualizedreturn
PVoffacevalueRMB1,000
Dividendpayment
AB
15.2351%24.2581%
894.86894.86
175
325Time
GoldenFinger
PricingMethodology
3.1YieldDecomposition
Strikeprice,K=s0Spotgoldprice
Annualvolatilitymaturity
Continuouscompoundingrisk-freerate
Timetomaturity
KsσT
rτ
Assumption
1.Constantrisk-freeratewithhorizontaltermstructure.
2.SpotgoldpricereturnfollowsGBM,wherevolatilityσisaconstantterm.
dst=rstdt+σstdBt
GoldenFinger
0<t<Tsupst|0<t<T<L
Embeddedoption
1/so×up-and-outoption
(L?so)/so×one-touchdigitaloptionRisk-freenote
1000e?rτ1000
GoldenFinger
3.2PricingFormula
Priceof1unitup-and-outcall
Priceof1unitone-touchdigitaloption
Parameters
d1=lnS/k+r+0.5σ2τ/στ
d3=lnS/L+r+0.5σ2τ/στd4=d3?στ
d5=lnS/k?r?0.5σ2τ/στ
d7=lnSk/L2?r?0.5σ2τ/στd8=d7?στ
GoldenFinger
3.3OptionPricing
Embeddedoptionpricein1,000facevalueofGLN
?Dataperiod:2009-12-29to2012-12-26
?Estimatedannualizedvolatilityσ=17.01%
?GivenL=1.25S0&S0=K,Pisindependentofso.Embeddedoptionpriceatissuedate
P0=140.22
Sincer=4.5%andT=3
TrancheA
TrancheB
Issuedprice
1,000
1,100
TotalValue
972
1,056
PVoffacevalueatissuedate
873.72
873.72
EmbeddedOption(P?rate×P0)
98.28
182.28
Subscriptionfee(IssuePrice–TotalValue)
28(2.8%)
44(4.0%)
GoldenFinger
3.3OptionPricing
Embeddedoptionpricein1,000facevalueofGLN
?Dataperiod:2009-12-29to2012-12-26
?Estimatedannualizedvolatilityσ=17.01%
?GivenL=1.25S0&S0=K,Pisindependentofso.Embeddedoptionpriceatissuedate
P-rate×Embeddedoption
+Risk-freenoteprice
+Subscriptionfee
=Issueprice
TrancheA
TrancheB
Participationrate70%
130%
Subscriptionfee2.8%
4.0%
GoldenFinger
3.4ReturnSimulation
MonteCarlosimulation:100,000trials
Frequency
50.00%45.00%40.00%35.00%30.00%25.00%20.00%15.00%10.00% 5.00%0.00%
3-yearrisk-freerate
4.5%
Annualizedreturn
TrancheB33.20%5.88%29.37%22.09%5.97%2.11%0.74%0.36%0.14%0.06%0.03%0.02%0.03%
-3%0%10%20%30%40%50%60%70%80%90%100%>100%
TrancheA
0.00%
32.94%
49.57%
15.07%
1.99%
0.33%
0.07%
0.02%
0.01%
0.00%
0.00%
0.00%
0.00%
TrancheA
WorstcaseExpectedannualizedreturnBestcase
TrancheB
0.0000%5.5485%95.6677%
-3.1271%6.8062%223.0138%
(Earlyredeemedatday19)
*Simulationhereispurelydesignedforunderlyingpriceratherthanpricingproduct.Sincewecannotderiveanalyticalsolutionforjointprobabilityofhittingbarrier,MonteCarlosimulationseemstobethebestway.
GoldenFinger
3.4ReturnSimulation
MonteCarlosimulation:100,000trials
16%
14%
12%
10%
8%
6%
4%
2%
0%
15.170%
11.808%
8.561%
7.111%
6.558%
5.142%
0-0.5year0.5-1year1-1.5year1.5-2year2-2.5year2.5-3year
54.35%possibility
Ofearlyredemptionbeforematurity
?7.111%probabilitythatspotgoldpricehitthebarrier
?Ourproductisearlyredeemedbefore0.5year
?Nolessthan14.661%annualizedreturn
GoldenFinger
HedgingStrategy
4.1DeltaCalculation
For1unitofGoldenfinger
Embeddedoption
Delta
Deltadecomposition
GoldenFinger
4.2HedgingStrategy
Deltahedging
Hedginginstrument
3-yearzerocouponnote
Considergovernmentnoteasrisk-freeinstrumenttohedgeprincipalcomponent
TheGoldfuturecontractofeachmonth(rollover12monthseveryyear)
?Spotcontractclosespositioneveryday,resultinginlargetransactioncostsandvolumechanges.
?Theoretically,futurecontractispricedasFI=Ster
Priceoffuturecontract
Rebalance
Hedgingstrategy:Marktomarket320
ForeachunitofGLN,longΔe一r(TI一t)units300
offuturecontractsalongwith1unitnoteto280
hedgepricefluctuationofspotcontract.260
thepositioneveryday.240
220
*TIheredenotesmaturityofthefuturecontractofeachmonth
=Δe一r2/12/2910/03/2910/06/2910/09/2910/12/29
GoldenFinger
4.3NumericalExample
Assumenotransactioncost.Dailyinterestrateis0.01786%.
OptionPrice
Change
of?F
Futureprice
Futuresvalue
?
?F
Spotprice
Cum.CostDividend
2009/12/29
Issuedate
242.82241.88
140.22138.44
1.89761.8959
1.88721.8858
1.8872-0.0014
245.07242.55
322.2624321.9897
0.05760.0575
2009/12/30
462.4862457.4003
2009/12/31
243.80
248.00
150.07
1.9025
1.8927
0.0069
461.4299
323.7196
0.0578
2010/1/4
244.40
242.93
140.43
1.8978
1.8894
-0.0033
461.7608
322.9726
0.0577
2010/1/5
249.47
249.14
152.24
…
1.9025
…
1.8944
0.0050
472.5989
324.2894
0.0579
2011/3/1
296.00
299.79
243.89
1.6503
1.6462
-0.0059
487.2755
265.1202
0.0473
2011/3/2
300.00
302.13
247.73
1.6315
1.6277
-0.0185
488.3124
259.6197
0.0464
2011/3/3
300.00
301.7
247.03
1.6350
1.6315
0.0038
489.4412
260.7949
0.0466
2011/3/4
300.00
299.5
243.41
1.6526
1.6494
0.0179
494.8180
266.2182
0.0475
2011/3/7300.00304.1250.931.61551.6131-0.0362483.9432255.39100.0456
RedemptiondateIncomefromfuturestrading228.5522
L=303.525Dividendpaidfor1embeddedoption?250
Hedginglossfor1embeddedoption21.4778
Feecharged
28?
TrancheA
?Hedgingloss=Netprofitforissuer
..
TrancheB
70%×214778=RMB1299pernote
44?130%×21.4778=RMB16.12pernote
GoldenFinger
4.4Furtherdiscussion
Underlyingassumptionofhedgingstrategy
?Notransactioncost
?100%marginrequirement,noleverageeffect
Hedginginreality
?1stfuturecontract:nomorethan0.02%ofnominalamountastransactionfee
?15%~30%marginrequirementconditionedontimetomaturity
Dailyaveragetradingnominalamount
ChangeofΔF×futureprice=RMB1.7DailytransactioncostRMB0.00034
Negligibletransactioncostcomparedwithfluctuationoffutureprice
ProfitincreasesbyRMB10peroption
Dailyaveragevalueoffutures487
146
140.22
Marginaccount(30%×487)Premiumreceivedforoption
Almostnoneedofextraborrowing,
thuseliminateinterestcost
GoldenFinger
RiskAnalysis
5.1RiskforInvestors
Getthe25%now
Missbiggerprofit
Marketrisk
Goldprice
Goldprice
RateofReturn
Hitbarrierbeforematurity
St=barrierprice
25%
DoesnothitthebarrierIncreaseatmaturity
S0<St<L
(St-S0)/S0
Does
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