中小银行内部评级体系建设之路 - Deloitte US · 零售风险 • 划为个人住房抵押贷款风险暴露、合格循环零售贷款风险暴露、其他零售 风险暴露三大类。
第二章 资金时间价值与风险
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Transcript of 第二章 资金时间价值与风险
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1.no inflationrisk condition2.3.
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inflation premiums: interest interest rate discount rate
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1cash flow 2(present value) 3future value
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(single interest system) IPin IPi n 1. FVPIPPin P(1in)
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2 PV FV
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compound interest system1 FV1 FV1PVIPVPViPV(1i) FV2 FV2PV(1i)iPV(1i)PV(1i) 2 FV3PV(1i) 2iPV(1i) 2PV(1i) 3 FVn PV(1i) n .. [1]
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[1] (1i) n future value interest factorFVIFin F/Pin 1
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2 present ValuePV PVn
present
value interest factor PVIFin P / Fin 1
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annuity system annuity 1 ordinary Annuity
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1
FVAFVAt
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FVAA (1i)0A(1i) 1A(1i) 2A(1i)n-1
(1i)
FVA(1i)A(1i)A(1i) 2 A(1i)n-1A[(1i)n
FVA (1i) FVA A(1i)n A
FVA A
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FVAAin
future value interest factor for annuityFVIFAinFA/Ain 1
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AFVA
A
AIFVAinA/FAin
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2 PVA1A (1i) -1A A A A 0 1 2 3 n1 n
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PVAA(1i)-1A(1i)-2A(1i)-n-1A(1i)-n ()()1i PVA(1i)A(1i)0A(1i)-1A(1i)-(n-1) ()
PVA A () ()
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present value interest factor for annuityPVIFAinPA / Ain1
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()
APVA ()
()A
AIFVAinA/PAin
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2
(annuity due)
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1 (1i)
FVAA (1i)
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2 (1i) PVAA (1i)
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3perpetuity annuity
PVP A n (1i)-n0 PVP A/i
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4deferred annuity
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1(mn)(m)
PVD A(PA/A,i,mn)A(PA/A,i,m) 2(n)m0
PVD A(PA/A,i,n)(PV/FV,i,m)
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ri/m tmn rimnt
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k1rm1 krm
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FmPFmP 1rm1
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1F/P,i,nFV/PV 2P/F,i,nPV/FV 3FA/A,i,nFVA/A 4PA/A,i,nPVA/A
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ni120 000532 000:FV32 000PV20 000n5i32 000/20 0001.600 n51.6001.6111010532 000
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250 000107 500PVA=50 000A=7 500n=10i=PA/A,i,nPVA/A PA/A,i,n=50000/7500=6.667n=106.7106.4186.667i8989
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x8 8 6.710 6.667 9 6.418x
x=0.147 i=8+0.147=8.147
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RVI
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1 2 1 2
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RVI risk value of investmentRVI risk premiumrisk premium rate
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1 10Pi1
2 2
3
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4
5KRbV PR KR/(KfKR)
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AB
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AB
AB
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V BA:
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(Capital asset pricing modelCAPM)KiKfi(KmKf) KiiKm
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SMLKRKfKKfKi
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rate of interest
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=+
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IP0
RR0IP
RR0IP
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K0 IP DP LP MP
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1K0
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K0IPK0*IPK0IP K0IP 2IP
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0 3DP
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12% 4LP
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5MP