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PART
I2012年11月份FRM一级考试总结100%
Contribution
Breeds
Professionalism2-56重温金程教育考场送-
考场100%
Contribution
Breeds
Professionalism3-56重温金程教育考场送考场考场100%
Contribution
Breeds
Professionalism4-56重温金程教育考场送广州考场考场100%
Contribution
Breeds
Professionalism5-56FRM
全球The
global
FRM
community
is
growing
dramatically
as
the
financial
servicesindustry
demands
more
highly
skilled
and
qualified
financial
risk
professionals.There
are
over
26,000
Certified
FRMs
practicing
worldwide.Over
150,000
registrations
for
the
FRM
Exam
since
1997.In
2012,
FRM
candidates
came
from
136
different
countries
and
territories.•than
5,900Registrations
for
the
2012
FRM
Exam
represented
moreanizations
globally.878
anizations
had
5
or
more
FRM
registrations
in
2012.30
anizations
had
100
or
more
FRM
registrations
in
2012.100%
Contribution
Breeds
Professionalism6-56FRM
Annual
Growth
in
Registration
Volume,
2002-2012100%
Contribution
Breeds
Professionalism7-56FRM
Historical
Pass
Rates,
2001-2012100%
Contribution
Breeds
Professionalism8-56FRM考场人数情况(以实到人数统计):广州总计201105一级25030050308090800201105二级140425201105总计39045076491201401225201111一级250700753590901240201111二级40034050206080950201111总计6501040125551501702190201205一级4775765346105801337201205二级23742629307375870201205总计714100282761781552207201211一级5147358867851441633201211二级324500252878721027201211总计8381235113951632162660100%
Contribution
Breeds
Professionalism9-562012年实际报考人数统计表:广州总计201205一级54764659521051001509201205二级25744629337383921201205总计804109288851781832430201211一级659785121671151941941201211二级37454338281081011192201211总计103313283133大陆的6个考点中相较2011对比,如下表:100%
Contribution
Breeds
Professionalism11-56二级考生对比100%
Contribution
Breeds
Professionalism12-56100%
Contribution
Breeds
Professionalism13-56回顾一级考试准备资料FRM一级FRM
一级handbook(1本);2012年FRM一级精华(1套4本);金程FRM一级英文NOTES(1套);金程FRM一级冲刺宝典(1本);金程FRM一级习题集(1本);金程FRM易表(1本);金程FRM金融字典(1)一级
重点关注金程PPT课件(以原版书为基础)三套
试卷3.
金程Practice
Exam紫皮书100%
Contribution
Breeds
Professionalism14-56一级
重点关注2010年GARP
FRM
Practice
Exam2011年GARP
FRM
Practice
Exam2011年GARP
FRM
Practice
Exam100%
Contribution
Breeds
Professionalism15-56100%
Contribution
Breeds
Professionalism16-56二级复习重点安排FRM二级FRM
handbook(1本)(一级金程学员不配发);2013年FRM二级精华(1套5本);金程FRM二级冲刺宝典(1本);金程FRM二级习题集(1本);金程FRM二级易表(1本);金程FRM金融字典(1本)(一级金程学员不配发)金程教育FRM二级课程安排100%
Contribution
Breeds
Professionalism17-56100%
Contribution
Breeds
Professionalism18-56PART
IIFRM一级知识点回顾Foundations
of
Risk
ManagementDefinition
ofRiskTypes
ofRiskProcess
of
Risk
ManagementBaringsSumitomoMetallgesellschaftLong-Term
Capital
ManagementFinancialDisastersPortfolioManagement
TheoryMarkowitz
Portfolio
TheoryCapital
Asset
Pricing
ModelArbitragePricing
TheoryPerformance
MeasurementCreating
Value
withRisk
ManagementCosts
of
Financial
Distress&
BankruptcyTaxWACCDiversifiable
RiskIntroduction
ofRisk
Management100%
Contribution
Breeds
Professionalism19-56tativeysisFundamentalsof
ProbabilityFundamentalsof
StatisticsMonte
CarloMethodsEstimatingVolatilitiesMean,
variance,Skewness,
kurtosisNormal
distributionT
distributionEstimationHypothesis
testingLiner
RegressionGeometric
Brownian
MotionInverse
transform
methodEWMAGARCH100%
Contribution
Breeds
Professionalism20-56100%
Contribution
Breeds
Professionalism21-56Financial
Markets
and
ProductsHull,
Options,
Futures,
and
Other
Derivatives,
7th
Edition.Chapter
1
..............................IntroductionChapter
2
.............................Mechanics
of
FuturesMarketsChapter
3
.............................Hedging
Strategies
Using
FuturesChapter
4.............................Interest
RatesChapter
5
.............................Determination
of
Forwardand
Futures
PricesChapter
6
.............................Interest
Rate
FuturesChapter
7
.............................SwapsChapter
8……
Mechanics
of
Option
MarketsChapter
9.............................Properties
of
StockOptionsChapter
10
...........................Trading
Strategies
Involving
OptionsValuation
and
Risk
ModelsChapter
One
Fixed eValuationChapter
Two
Option
ValuationChapter
Three Value
at
RiskChapter
Four
Measuring
Credit
Risk100%
Contribution
Breeds
Professionalism22-56Important
DerivativesDerivatives
IntroductionForwardFuturesOptionSwapA
series
of
Forward100%
Contribution
Breeds
Professionalism23-56Hedging
strategies
using
futuresFutures
priceDefine
and
compute
the
basis
and
basis
riskS1
Spot
priceS2F1F2Basis:
b1
S1
F1b2
S2
F2t1
t2The
profit
on
the
futures
position
is
F1-F2The
effective
price
that
is
obtained
for
the
asset
with
hedging
is
therefore:S2+
F1-F2
=
F1+b2
;
The
value
of
F1
is
known
at
time
t1.
if
b2
were
alsoknown
at
this
time, rfect
hedge
would
result.
The
hedging
risk
is
theuncertainty
associated
with
b2
and
is
known
as
basis
risk.100%
Contribution
Breeds
Professionalism24-56Hedging
strategies
using
futuresMinimum
variance
hedge
ratioriod
of
time
equal
tothe
life
ofthe
hedgeriod
of
time
equal
to
the
life
of
the
hedgeΔS:
Change
inspot
price,
S,duringΔF:
Change
in
futures
price,
F,
duringσs:
Standarddeviation
of
ΔSσF:
Standard
deviation
of
ΔF:
Coefficient
of
correlation
between
ΔS
and
ΔFh*
:
Hedge
ratio
that
minimizes
the
variance
of
the
hedger's
positionFh*
S100%
Contribution
Breeds
Professionalism25-562*22F2SR
hHedging
strategies
using
futuresThe
optimalhedge
ratio,
h*,
is
the
slope
of
the
best
fit
line
when
∆Sis
regressed
against
∆F.The
hedge
Effectiveness
can
be
defined
as
the
proportion
of
thevariance
that
is
eliminated
by
hedging.
This
is
ρ2
,or100%
Contribution
Breeds
Professionalism26-56Note:
the
parametersρ,σF,
σS,
are
usuallyestimated
from
historical
dataon
∆S
and
∆F.Hedging
strategies
using
futuresOptimal
number
of
futures
contractsDefine
variables
as
follows:NA:
Size
of
position
being
hedged
(units)QF:
Size
of
one
futures
contract
(units)N*:
Optimal
number
of
futures
contracts
for
hedgingThis
futures
contracts
used
should
have
a
face
value
of
h*NA.
Thenumber
of
futures
contracts
required
is
therefore
given
by*
h*
NAQF100%
Contribution
Breeds
Professionalism27-56N100%
Contribution
Breeds
Professionalism28-56ExamplesEXAMPLE
3:
FRM
EXAM
2007—QUESTION
125A
firm
is
going
to
buy
10,000
barrels
of
West
Texas
Intermediate
Crude
Oil.
It
plans
tohedgethe
purchase
using
the
Brent
Crude
Oil
futures
contract.
The
correlation
between
the
spot
andfutures
prices
is
0.72.
The
volatility
of
the
spot
price
is
0.35
per
year.
The
volatilityof
the
BrentCrude
Oil
futures
price
is
0.27
per
year.
What
is
the
hedge
ratio
for
the
firm?0.93330.55540.81981.2099EXAMPLE
4:
FRM
EXAM
2003—QUESTION
14A
bronze
producer
will
sell
1,000
mt
(metric
tons)
of
bronze
in
three
months
at
the
prevailingmarket
price
at
that
time.The
standard
deviation
of
the
price
of
bronze
over
a
three-monthperiodis
2.6%.
Thecompany
decides
to
use
three-month
futures
on
copper
to
hedge.
Thecopper
futures
contract
is
for
25
mt
of
copper.
The
standard
deviation
of
the
futures
price
is3.2%.
The
correlation
between
three-month
changes
in
the
futures
price
and
the
price
of
bronzeis
0.77.
To
hedge
its
price
exposure,
how
many
futurescontracts
should
the
company
buy/sell?Sell
38
futuresBuy
25
futuresBuy
63
futuresSell
25
futuresInterest
RatesAIM:
Value
and
calculate
the
cash
flows
from
an
FRAnowT1settlementorexpirationT21+(L)(T2
-T1)100%
Contribution
Breeds
Professionalism29-56The
Payoff
for
the
Long
=
(Nominal
Principal)
(L-FRA)(T2
-T1)100%
Contribution
Breeds
Professionalism30-56Determination
of
Forward
and
Futures
PricesUsing
the
interest
rate
parity
relationship
to
calculate
aforward
foreign
exchange
rate(rr)TF0
S0e
fF:
domestic
currency/foreign
currencyr:
domestic
currency
interest
raterf:
foreign
currency
interest
rate100%
Contribution
Breeds
Professionalism31-56Properties
of
stock
optionsSix
factorsthat
affect
option
pricesThe
following
six
factors
will
impact
the
value
of
an
option:S0
=current
stock
priceX =strike
price
of
the
optionT =time
toexpiration
of
the
optionr
=short-term
risk-free
interest
rateover
TD =present
value
of
the
dividend
of
the
underlying
stockσ
=expected
volatility
of
stock
prices
over
TProfit
Payoffs
of
OptionsFIGURE1:
Profit
PayofBuy
callLong
and
Short
Calls
and
PutsBuy
putSell
callSell
putBreakeven
price=strike
price
+
premium100%
Contribution
Breeds
Professionalism32-56100%
Contribution
Breeds
Professionalism33-56Intrinsic
versus
Time
ValueOption
value
=
Intrinsic
value
+
Time
valueIntrinsic
value
-
what
the
payoff
would
be
if
the
option
couldbe
exercised
now,
with
the
stock
at
its
current
price.Time
value
-
the
differencebetween
the
option’s
value
and
itsintrinsic
value.Intrinsic
versus
Time
Value100%
Contribution
Breeds
Professionalism34-56Binomial
TreesA
one-step
binomial
modelStock
price=$20
●●100%
Contribution
Breeds
Professionalism35-56●Stock
price=$22Option
price=$1Stock
price=$18Option
price=$0Given:
K=$21;
T=0.25;
risk-free
rate=12%.
What
is
the
European
call
price?Binomial
TreesA
GeneralizationS0f●●●0S
ufuS0dfdf
e-rt
pfu
(1-
p)
fd
erT100%
Contribution
Breeds
Professionalism36-56
dp
u
dThe
Black-Scholes-Merton
ModelBlack-Scholes
Pricing
Formulasc
=
S N
(d
)
−
Ke−rT
N
(d
)0
1
2P
=
Ke−rT
N
(−d
)
−
S
N
(−d
)2
0
11d
=
ln(S
0
K
)
+(r
+
σ2
2)Tσ
Td2
=
d1
−σ
T100%
Contribution
Breeds
Professionalism37-56100%
Contribution
Breeds
Professionalism38-56The
Black-Scholes-Merton
ModelImplied
VolatilityImplied
volatility
is
the
volatility
implied
when
the
market
priceof
the
option
is
set
to
the
model
price.Use
trial-and-error
method
toestimate
the
impliedvolatility.B-S
Model
with
Dividend
yieldc
=
S
e−r*T
N
(d
)
−
Ke−rT
N
(d
)0
1
2The
Greek
LettersOption
Sensitivities:
Delta1
c
N
(d
)S100%
Contribution
Breeds
Professionalism39-56The
Greek
LettersOption
Sensitivities:
Gamma
2cS
2100%
Contribution
Breeds
Professionalism40-56The
Greek
LettersDelta
and
Gamma
of
Option
Positions100%
Contribution
Breeds
Professionalism41-56The
Greek
LettersOption
Sensitivities:
Vega
c100%
Contribution
Breeds
Professionalism42-56The
Greek
LettersOption
Sensitivities:
RhoThe
sensitivity
to
therisk-free
rate,
also
called
rho,
isrAn
increase
in
the
rate
of
interest
increases
the
value
of
the
call,
as
theunderlying
asset
grows
at
a
higher
rate,
which
increases
the
probabilityof
exercising
the
call,
with
a
fixed
strike
price
K.100%
Contribution
Breeds
Professionalism43-56
cThe
Greek
LettersOption
Sensitivities:
Theta
ct100%
Contribution
Breeds
Professionalism44-56100%
Contribution
Breeds
Professionalism45-56ExamplesEXAMPLE
1Which
of
the
following
statements
is
true
regarding
options’
Greeks?Theta
tends
to
be
large
and
positive
when
buying
at-the-moneyoptions.Gamma
is
greatest
for
in-the-money
options
with
long
maturities.Vega
is
greatest
for
at-the-money
options
with
long
maturities.Delta
of
deep
in-the-money
put
options
tends
towards
+1.EXAMPLE2How
can
a
trader
produce
a
short
vega,
long
gamma
position?Buy
short-maturity
options,
sell
long-maturity
options.Buy
long-maturity
options,
sell
short-maturity
options.Buy
and
sell
options
of
long
maturity.Buy
and
sell
options
of
short
maturity.100%
Contribution
Breeds
Professionalism46-56PART
IIIFRM二级知识预览及学习策略整体知识布局4小时/80道单项选择题100%
Contribution
Breeds
Professionalism47-56Market
Risk
Measurement
and
ManagementFixed e
SecuritiesDuration,
DV01,
and
convexityKey
rate
exposuresHedging
and
immunizationRisk
neutral
pricingMortgage-backed
securities:
structure
and
valuationMortgages
andmortgage-backed
securities
(MBS)Structure,
markets,
and
valuationVaR
and
other
Risk
MeasuresVaR
mapBacktesting
VaRExpected
shortfall
(ES)
and
other
coherent
risk
measuresParametric
and
non-parametric
methods
of
estimationModeling
dependence:
correlations
and
copulasExtreme
value
theory
(EVT)Volatility:
s and
term
structuresExotic
options100%
Contribution
Breeds
Professionalism48-56Credit
Risk
Measurement
and
ManagementCredit
RiskCredit
risk
is
the
risk
of
an
economic
loss
from
the
failure
of
a
counterpartyto
fulfill
its
contractual
obligations.Credit
loss
PD
CE
LGDProbability
of
DefaultCredit
ExposureLoss
Given
Default100%
Contribution
Breeds
Professionalism49-56Credit
Risk
Measurement
and
Management2.
Measuring
ActuarialDefault
RiskCredit
Risk1.
Overview
of
Credit
RiskDefault
&
Credit
EventExternal
Credit
RatingInternal
Credit
RatingAssessing
Default
ProbabilitiesRecovery
RateCorporate
VS
Sovereign
Rating3.
Measuring
Default
Riskfrom
Market
PricesCorporate
Bond
PricesEquity
Prices
(MertonModel)KMV
ModelDefinition
of
Credit
RiskDrivers
of
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