货币金融学 米什金 期末重点总结.docx

货币金融学 米什金 期末重点总结.docx

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计算

Termstructure

Expectationstheory:

??????=

????????

??

??????

??

???

??

??

??(

????)

????eLiquiditypremiumtheory:

????

e

??????=

??????

??1??

e

??2

???

??

e

??(??1)

??????

Becauseofpeoplepreferredshort-termbonds,thereisalargerliquiditypremiumasthetermtomaturitylengthens.(上升图)Yieldcurvestendtohaveanespeciallysteepupwardslope.(下降图)Yieldcurveswillnottendtohaveasteepdownwardslope,andmaybewillslopeupward.

Stockpricingmodel

One-PeriodValuationModel:

????=

????????

????

(????

??) (????

??)

??0=thecurrentpriceofthestock

??????1=thedividendpaidattheendofyear1.

????=therequiredreturnoninvestmentsinequity.

??1=thepriceattheendofthefirstperiod .

GeneralizedDividendValuationModel:

????=∑∞

????

??=??(??????)??

GordonGrowthModel:

????

=????×(????)=

(??????)

????(??????)

??0=themostrecetdividendpaid.

??=theexpectedconstantgrowthrateindividends.

Interest-RateRisk

Achangeinitsinterestrate:

percentchangeinmarketvalueofsecurity≈ persentage-pointchangeininterestrate×durationinyears

A1:Theassetsfallinvalueby$8million(=$100million×2% ×4years)whiletheliabilitiesfallinvalueby$10.8million(=$90million×2% ×6years).Becausetheliabilitiesfallinvalueby

$2.8millionmorethantheassetsdo,thenetworthofthebankrisesby$2.8million.Theinterest-rateriskcanbereducedbyshorteningthematurityoftheliabilitiestoadurationof4yearsorlengtheningthematurityoftheassetstoadurationof6years.Alternatively,youcouldengageinaninterest-rateswap,inwhichyouswaptheinterestearnedonyourassetswiththeinterestinanotherbank’sassetsthathaveadurationof6years.

A2:Thegapis$10million($30millionofrate-sensitiveassetsminus$20millionofrate-sensitiveliabilities).Thechangeinbankprofitsfromtheinterestrateriseis+$0.5million(5%×$10million);theinterestrateriskcanbereducedby

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