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Darkblanca · 2024年02月05日

risk free rate加上工资波动率等于折现率是哪里的说法?从来没看到过

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NO.PZ202301041000002203

问题如下:

The human resources department of The Tredway Medical Group hired Joe Boylan, a private wealth consultant, to provide a series of presentations to its employees covering the fundamentals of financial planning.

Boylan’s current presentation deals with two aspects of personal risk management related to age: premature death and outliving one’s resources. He begins his presentation by stating that people often harbor misleading views about life insurance. As an example, he provides them with the following three comments which he claims to have heard many times in the past:

Comment 1 Since everyone is going to die, everyone needs life insurance.

Comment 2 Life insurance is an efficient method of risk reduction.

Comment 3 Premiums on a newly issued life insurance policy are higher when interest rates are lower.

Boylan states that when considering life insurance needs and investment strategies, it is important to understand the notion of human capital. He provides the following four examples of individuals connected to the health care industry in Exhibit 1 and asks the audience which of them has the highest human capital risk.


Boylan provides selected information from standard mortality tables along with some market data and characteristics of Marie’s medical specialty in Exhibit 2. In addition, he also includes several assumptions which he uses to determine Marie’s total assets under a holistic balance sheet.


One of the attendees at the presentation told Boylan that she had accessed several life insurance carrier websites but found that it was very hard to compare the costs of their whole life policy offerings, as the companies often used different assumptions about the amount of the death benefit, premiums, cash value growth rates and dividend reinvestment rates. Using the information in Exhibit 3 for a hypothetical whole life policy, Boylan illustrates a convenient method for comparing the cost of different policies when these variables change.


Boylan turns his attention to investments. He tells his audience that if the twins, Janice and Jason, wish to invest optimally, they should consider the nature of their human capital when making asset allocation decisions. He asks how this would affect their relative allocation to high grade government bonds.

Boylan tells the audience that life annuities are a convenient investment to deal with longevity risk. He again uses the twins, Jason and Janice, as an example, in discussing some of the characteristics of these annuities. Assuming that they were both to invest the same amount into this product, he makes the following statements:

Statement 1 If both of them were to purchase the annuity immediately, they would both receive the same annual income yield.

Statement 2 If Jason were to purchase the annuity in 10 years rather than immediately, his annual income yield would be higher at that time than now.

Statement 3 If Janice were to add a 10-yearperiod certain option to her annuity, her income yield would be reduced when compared to not having the option, but it would be reduced by greater amounts the longer she waits to purchase the annuity.


Using Exhibits 1 and 2, Marie’s total assets under a holistic balance sheet are closest to:

选项:

A.

$6,616,857.

B.

$6,563,000.

C.

$4,808,000.

解释:

In addition to the assets determined under a traditional balance sheet provided in Exhibit 1, a holistic (economic) balance sheet includes the present value of human capital and the value of any pensions.


Determination of probability weighted present value of Marie’s future wages


Total Assets under Holistic Balance Sheet


risk free rate加上工资波动率等于折现率是哪里的说法?从来没看到过

1 个答案

王暄_品职助教 · 2024年02月06日

给您贴了基础班讲义,这里有提到,risk free rate + income volatility = 折现率

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NO.PZ202301041000002203 问题如下 The humanresources partment of The TreMecGroup hireJoe Boylan, a privatewealth consultant, to provi a series of presentations to its employeescovering the funmentals of financiplanning.Boylan’s currentpresentation als with two aspects of personrisk management relateto age:premature ath anoutliving one’s resources. He begins his presentation bystating thpeople often harbor misleang views about life insurance. anexample, he provis them with the following three comments whihe claims tohave hearmany times in the past:Comment 1 Sineveryone is going to e, everyonenee life insurance.Comment 2 Life insuranis efficient methoofrisk rection.Comment 3 Premiums on a newly issuelife insurancepoliare higher when interest rates are lower.Boylstates thatwhen consiring life insurannee aninvestment strategies, it isimportant to unrstanthe notion of humcapital. He provis the followingfour examples of invials connecteto the health care instry inExhibit 1 anasks the auenwhiof them hthe highest humancapitrisk.Boylprovisselecteinformation from stanrmortality tables along with some market taancharacteristiof Marie’s mecspecialty in Exhibit 2. In aition,he also inclus severassumptions whihe uses to termine Marie’s totalassets unr a holistic balansheet.One of theattenes the presentation tolBoylthshe haccesseseverlifeinsurancarrier websites but founthit wvery harto compare the costsof their whole life poliofferings, the companies often usefferentassumptions about the amount of the ath benefit, premiums, cash value growthrates anvinreinvestment rates. Using the information in Exhibit 3for a hypotheticwhole life policy, Boylillustrates a convenient methoor comparing the cost of fferent policies when these variables change.Boylturns hisattention to investments. He tells his auenthif the twins, Janianason, wish to invest optimally, they shoulconsir the nature of their humancapitwhen making asset allocation cisions. He asks how this woulaffecttheir relative allocation to high gra government bon.Boyltells theauenthlife annuities are a convenient investment to with longevityrisk. He again uses the twins, Jason anJanice, example, in scussingsome of the characteristiof these annuities. Assuming ththey were both toinvest the same amount into this proct, he makes the following statements:Statement 1 Ifboth of them were to purchase the annuity immeately, they woulboth receivethe same annuincome yielStatement 2 IfJason were to purchase the annuity in 10 years rather thimmeately, hisannuincome yielwoulhigher thtime thnow.Statement 3 IfJaniwere to a a 10-yearperiocertain option to her annuity, her incomeyielwoulrecewhen compareto not having the option, but it woulberecegreater amounts the longer she waits to purchase the annuity. Using Exhibits 1 an2, Marie’s totassets unr a holistic balansheet are closest to: A.$6,616,857. B.$6,563,000. C.$4,808,000. In aition to the assets termineunr a trationbalansheet proviin Exhibit 1, a holistic (economibalansheet inclus the present value of humcapitanthe value of any pensions.termination ofprobability weightepresent value of Marie’s future wagesTotAssets unrHolistic BalanSheet 这样理解对吗本题是Plans on retiring in two years, on the y before she turns 64 所以没有64岁的工资如果是when she turns 64就是拿64岁的工资?这道题只算了62和63岁的工资

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