问题 问答题

某公司正在研究建造三层办公大楼的设计方案。公司考虑今后扩大业务量时打算将三层扩建成六层。现有两个设计方案:A方案是事先考虑今后增建的方案,其建设投资为400万元;B方案是不考虑今后扩建的方案,因而其投资只需320万元。

如果采用A方案,那么今后再增加三层时需建设费用300万元;如果采用B方案,则今后再增加三层时,需对下面的柱和基础补强并改建,因而总计需投资480万元。无论是否扩建,建筑物的寿命皆为50年。两方案建筑功能、建筑维修费用相同,基准收益率为10%。

[问题一]

扩建的时间在几年以内时,A方案较B方案有利

[问题二]

上述扩建的费用是没有考虑物价变动情况下的数值,假定建筑费用今后将以4.7%的速度上升时,又应如何考虑

[问题三]

在问题二的基础上,若本公司打算在10年后建房,试问当基准收益率为多少时,上述两方案的效果是相同的

答案

参考答案:

[问题一]

根据题意,A方案的建筑费用较B方案多400-320=80万元;扩建时B方案较A方案多480-300=180万元。因而,如果今后扩建时多花的180万元折算的现值大于80万元,则A方案较B方案有利。故有:

180×(P/F,10%,n)>80

即180/(1+10%)n>80

180/80>1.1n

两边取对数,得:0.8>0.0953n,n<8.51年

[问题二]

当考虑今后建筑费用将以4.7%的比率增加时,根据问题一的解释,有:

180×(F/P,4.7%)n×(P/F,10%,n)>80

即180×(1+4.7%)n/(1+10%)n>80

(0.9518)n>80/180

两边取对数,得:

-O.04938n>-0.81093,n<16.42(年)

[问题三]

根据题意,得:

180×(1+4.7%)10/(1/i)10=80

(1+i)10=3.562 1+i=1.1354 i=13.54%

填空题
阅读理解

阅读理解。

     Just how comfortable is your sofa? Would you be prepared to let a stranger crash out there for the

night? And, on the basis of a bit of email correspondence and seeing a photo of the sofa belonging to

"An Unknown", would you travel halfway across the world to do the same? It might sound crazy, but

this is exactly what millions of people have done whilst participating in an activity known as couch

surfing.

     Couch surfing is travelling on a budget, using a broad network of contacts in order to get overnight

accommodation for free, or at as little cost as possible. Participants, also called couch surfers, join

dedicated websites, providing as much information about themselves as possible in order to make others

feel comfortable hosting them, or using them as a host. Various safety features are generally available in

such online networks, like verification (核实) of names and addresses,, personal references, and "vouching

(担保) for" a particular member; a reliable host or guest.

     As well as the financial advantages of couch surfing, participants also claim that the practice gives them

a more unique, authentic (真正的) travel experience, allowing them to experience culture and cuisine through

the locals, rather than from the confines of sanitized tourist accommodation. "We open our minds and lives

and welcome the knowledge that becomes available through cultural exchange." said Casey Fenton, founder

of Couch Surfing. com. "Couch Surfing wants to change not only the way we travel, but how we relate to

the work."

1. What is the right order of couch surfing?

    a. Provide personal information.

    b. Travel to the host's house.

    c. Join dedicated websites.

    d. Check photos of sofas by emails.

A. d-b-a-c

B. b-c-a-d

C. a-d-c-b

D. c-a-d-b

2. Which is NOT a safety feature of online network?

A. Verification of identity.

B. A copy of the passport.

C. Personal references.

D. Vouching for the member as reliable.

3. From the text we can know that _____.

A. participants can be hosted or a host

B. couch surfing tests people's patience

C. couch surfing leads to trust between people

D. people couch surf simply for financial reasons

4. What can be the best title of the test?

A. Touring the World on the Internet.

B. Unique Advantages of Local Travelling.

C. Around the World from Sofa to Sofa.

D. Cultural Exchange by Correspondence.