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Engineering Economy 教材:洪军 《 工程经济学 》 高等教育出版社 主 讲: 赵 旭 PowerPoint PPT Presentation


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工 程 经 济 学. Engineering Economy 教材:洪军 《 工程经济学 》 高等教育出版社 主 讲: 赵 旭. 第一章 工程经济学概论. 课堂提问. 1. 经济学( economics ) :是一门研究如何合理地配置和利用有限资源的学科。 2. 经济 (economy) :节约、效益

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Engineering Economy 教材:洪军 《 工程经济学 》 高等教育出版社 主 讲: 赵 旭

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Engineering economy

Engineering Economy


Engineering economy


Engineering economy

  • 1.economics

  • 2.(economy)

  • 3.(engineeringproject)


Engineering economy


Engineering economy


Engineering economy

  • 1

  • 2


Engineering economy

  • 1.

  • 2.

  • 3.


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • 1.

  • 2.

  • 3.


Engineering economy


Engineering economy

1.Understand the problem and define the objective.

2.Collect relevant information.

3.Define the feasible alternative solutions and make realistic estimates.

4.Identify the criteria for decision making using one or more attributes.


Engineering economy

  • 5.Evaluate each alternative,using sensitivity analysis to enhance the evaluation.

  • 6.Select the best alternative.

  • 7.Implement the solution and monitor the results.


Engineering economy

1-1


Engineering economy


Engineering economy


Engineering economy

  • 1.

  • 2.

  • 3.

  • 4.


Engineering economy

  • 1.interest


Engineering economy

  • 2.(interest rate)


Engineering economy

  • (simple interest)

  • 1.


Engineering economy

  • 2.

  • P(principal) i( interest rate)

  • n(number of periods) I(interest)

  • (total due)


Engineering economy

  • compound interest)

  • (interest on top of interest)


Engineering economy

  • 1.


Engineering economy

  • 2.


Engineering economy


Engineering economy

  • nominal insterest rate


Engineering economy

  • 1%


Engineering economy

  • 1.

  • 2.(effective insterest rate)


Engineering economy

  • 1.


Engineering economy

  • 2.


Engineering economy


Engineering economy


Engineering economy

  • 1500517%16%


Engineering economy


Engineering economy

  • r10%


Engineering economy


Engineering economy

  • ff

  • 1+=1+ f*1+


Engineering economy

  • 100110%5%

  • =1+10%/1+5%-1=4.76%

    =10%-5%=5%


Engineering economy


Engineering economy

  • 1.(equivalence)

  • 2.


Engineering economy

  • 1.Ppresent worth or present value

  • 2.F()(future worth or future value)

  • 3.A() (annual worth)

  • n3


Engineering economy

  • 4.() (discount) (discounted cash flow,DCF)

  • 5. ()(insterest rate or rate of return per time period;percent per year,percent per month)


Engineering economy

  • 1.

  • cash inflows(cash outflows)

  • 2.

  • (net cash flow,NCF)

  • =


Cash flow diagram

cash flow diagram


Engineering economy

cash flow diagram

  • A vertical arrow pointing up indicates a positive cash flow ,conversely,an arrow pointing down indicates a negative cash flow.


Engineering economy

F

0

1

2

3

n-1

n

P


Engineering economy

  • 500250150860


Engineering economy

0


Engineering economy

250

60

1

2

3

4

5

6

7

8

9

150

500


Engineering economy


Engineering economy

  • 1.

  • 2.


Engineering economy

1.

(F/P,in)


Engineering economy

F=

0

1

2

3

n-1

n

P()

(F/P,i,n)


Engineering economy

  • 200510%


2 p f

2.(P/F)

  • (P/F, i, n)


P f i n

F()

0

1

2

3

n-1

n

P=

(P/F,i,n)


Engineering economy

  • 1.(P/A)

  • 2.(A/P)

  • 3.(F/A)

  • 4. (A/F)


1 p a

A()

1

2

3

4

5

0

n

n2

n1

P=

1.(P/A)


Engineering economy

(P/A)


Engineering economy

  • 10210


Engineering economy


2 a p

A=

1

2

3

4

5

0

n

n2

n1

P()

2.(A/P)


Engineering economy

(A/P)

PA


Engineering economy

  • 200410%


Engineering economy


3 f a

F=

1

2

3

4

5

0

n

n2

n1

A()

3.(F/A)


Engineering economy


4 f a

F()

1

2

3

4

5

0

n

n2

n1

A=?

4.(F/A)


Engineering economy


Engineering economy


Engineering economy

F=

0

1

2

3

4

n-1

n

A1

A1+G

A1+2G

A1+3G

A1+(n-2)G

A1+(n-1)G


Engineering economy

1.


Engineering economy

2.


Engineering economy

F=

2

0

1

3

4

n-1

n

A1

A1q

A1q2

A1q3

A1q(n-2)

A1q(n-1)


Engineering economy


Engineering economy

1

  • 200010691215412%


Engineering economy

2

  • 305606%31210%


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • Investment or invest capital or capital

  • 1.

  • 2.


Engineering economy


Engineering economy


Engineering economy


Engineering economy

(fixed assets; capital assets; permanent assets)


Engineering economy


Engineering economy

  • :

  • :


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • 20002


Engineering economy


Engineering economy

  • (intangible assets; invisible assets)


Engineering economy


Engineering economy


Engineering economy


Engineering economy

330060040012%


Engineering economy


Engineering economy

  • (current funds; circulating funds; operating funds; working capitall)


Engineering economy


Engineering economy

  • =++

  • =+

  • =-


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • 1.

  • 2.


Engineering economy

1.

  • 1

  • 2

  • 3

  • 4


Engineering economy

2.

  • 1

  • 2

  • 3


Engineering economy

  • 1.

  • 2.

  • 3.


Engineering economy


Engineering economy


Engineering economy

1.


Engineering economy

I

c

e

f

e0.60.650


Engineering economy

2.

I

a

Q

=/


Engineering economy

3.

I

E

P

f

C


Engineering economy

4.

I

C

K

fi

fc


Engineering economy

  • 1.

  • 2.

  • 3.


Engineering economy

1.


Engineering economy

2.


Engineering economy

1

PF

t

f

n

m


Engineering economy

21

  • 5000300020005%1320%60%20%6%


Engineering economy


Engineering economy

5000+3000+20005%=500

  • 5000+3000+2000+500=10500

  • 1050020%=210

  • 1050060%=630

  • 1050020%=210


Engineering economy


Engineering economy

3.

  • =+/2*


Engineering economy

2

  • 330060040012%


Engineering economy

  • 18+74.16+143.06=235.22


Engineering economy


Engineering economy

  • 90005%2%0%133120%250%330%450008%


Engineering economy

  • 9000

  • 90005%=450

  • 9000+450=9450

  • 9450*20%=1890

  • 9450*50%=4725

  • 9450*30%=2835


Engineering economy

  • 56.98+239.81+203.46=500.25


Engineering economy

  • 5000*20%=1000

  • 5000*50%=2500

  • 5000*30%=1500


Engineering economy

  • 1000*0.5*8.24%=41.20

  • 1000+41.20+2500*0.5*8.24%=188.79

  • 1000+41.20+2500+188.79+1500*0.5*8.24%

    =369.15

  • 41.20+188.79+369.15=599.14


Engineering economy

  • 9000+450+500.25+599.14=10549.39


Engineering economy


Engineering economy


Engineering economy

  • 1.

  • 2.

  • 3.

    15%20%5%12%


Engineering economy


Engineering economy

1.

  • =+++


Engineering economy

  • =+

2.


Engineering economy

3.

  • =-

  • =-


Engineering economy

4.

  • =-


Engineering economy

1

  • 360

    =360/


Engineering economy

2

  • =/


Engineering economy

3

  • =/


Engineering economy

4


Engineering economy

=+++

=/

  • =/


Engineering economy

  • =+++/

  • =-/


Engineering economy

5

  • =+/


Engineering economy

  • =++

    =++-


Engineering economy


Engineering economy


Engineering economy

6


Engineering economy

  • =/


Engineering economy

  • =/


Engineering economy

11007.2086066019200210003300010%8001200304030403030


Engineering economy

  • 1.=-

  • 2.=+++

  • 3.=+


Engineering economy

  • 1=/

    =21000/360/30=1750

  • 2=/

    =800/360/30=66.67


Engineering economy

  • =+++

  • =/

  • =/

  • =+++/

  • =-/


Engineering economy

  • =19200/360/40=2133.33

  • =19200+1100*7.2+21000*10%+660/360/40=3320.00

  • =21000/360/40=2333.33

  • =2133.33+3320.00+2333.33=7786.66


Engineering economy

  • =+/

    =1100*7.2+860/360/40=975.56


Engineering economy

  • 1750+66.67+7786.66+975.56=10578.89


Engineering economy

  • =/

    =19200/360/30=1600.00


Engineering economy

  • =/

    =1200/360/30=100.00


Engineering economy

  • =1600.00+100.00=1700.00


Engineering economy

  • =10578.89-1700.00=8878.89


Engineering economy


Engineering economy

  • 1.

  • 2.

  • 3.

  • 4.

  • 5.

  • 6.

  • 7.

  • 8.


Engineering economy


Engineering economy

  • 1.

  • 2.

  • 3.


Engineering economy

1.


Engineering economy


Engineering economy

2.


Engineering economy

  • 1.

  • 2.

  • 3.

  • 4.


Engineering economy

1.

  • 1

  • 2

  • 3


Engineering economy

1

  • D

  • Vk

  • Vl

  • N


Engineering economy

2

  • d

  • W

  • W


Engineering economy

3


Engineering economy

  • VR


Engineering economy


Engineering economy

  • 1=

  • =

  • 2<

  • =-+

  • =-


Engineering economy

  • 48004180620104%66


Engineering economy


Engineering economy

  • 200205


Engineering economy

  • 1


Engineering economy

  • 2

  • 200-80=120

  • 120-48=72


Engineering economy

  • 72-28.8=43.2

  • 43.2-11.6=31.6

  • 31.6-11.6=20


Engineering economy


Engineering economy


Engineering economy


Engineering economy

2.

  • 120

  • 210

  • 35

  • 44

  • 53


Engineering economy

3.

  • 1

  • 2

  • 310


Engineering economy

4.

  • 5


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • =----


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • AB42700BA


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • 50


Engineering economy

  • (income)

  • (taxes)


Engineering economy


Engineering economy

  • 1.

  • 2.

  • 3.

  • 4.

  • 5.

  • 6.


Engineering economy

1.

  • 17%13%0%


Engineering economy

12317%

213%


Engineering economy

3

417%


Engineering economy

  • =

  • =*

  • =[/1+]*

  • =[/1+]*


Engineering economy

  • 1+

  • 1


Engineering economy

1

2

313% =


Engineering economy

47%

=


Engineering economy

  • = 3%


Engineering economy

  • 508050%

  • 2009113%


Engineering economy

  • 200811534200911


Engineering economy

  • 17%72004900


Engineering economy


Engineering economy

2.

  • 3%5%

  • =*


Engineering economy

3.

  • 1

  • 2


Engineering economy

4.

  • 25%20%15%

  • 5

  • =*


Engineering economy

5.


Engineering economy

  • 3.00 2.30 1.60 1.00 0.50 0.20M2

  • 1612~8


Engineering economy

  • 1%2%3%5%


Engineering economy

6.

  • : 3% 3% 3% 3% 8% 5% 5% 5% 10%

  • 7%5%1%++

  • 3%

    ++


Engineering economy

  • --=

  • -=


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • =+

  • =++++

  • =++


Engineering economy

  • +++


Engineering economy

  • =++++++

  • =++


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • l02380%42800l1000218002500l000500635


Engineering economy

  • 85151055

  • 315004101800505440


Engineering economy

  • 1.

  • 2.

  • 3.348


Engineering economy

  • 1

  • 2800+2485%=2400.4

  • 2400.45%=120.02

  • =2400.4-120.02/10=228.02

  • =2800+2415%=423.6

  • =423.6/5=84.72


Engineering economy

  • 2=10-8228.02+120.02=576.06

  • 33=1500+228.02+84.72+49.44=1862.18

  • 4=1800+228.02+84.72+39.552=2152.292

  • 8=1800+228.02=2028.02


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • PtPt`


Engineering economy


Engineering economy

  • Pt =-1+/


Engineering economy


Engineering economy

  • Pt` =-1+/


Engineering economy

10%


Engineering economy

0

1

2

3

4

5

6

10%

-6000

-5000

4000

3500

4000

4500

4000

-6000

-11000

-7000

-3500

500

5000

9000

-6000

-4545

3306

2630

2732

2794

2258

-6000

-10545

-7239

-4609

-1877

917

3175

4-1+3500/4000=3.875

5-1+1877/2794=4.672


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

T


Engineering economy

  • 3

  • 10060

  • 11055

  • 14045


Engineering economy

  • PC,AC

  • NPV

  • NAV


Engineering economy


Engineering economy


Engineering economy

PC

AC

t

n


Engineering economy

5. ABi0=10%


Engineering economy

: A:

B:

=4.157


Engineering economy

  • NPV


Engineering economy

  • NPV0

  • NPV0 NPV


Engineering economy


Engineering economy


Npv i

NPV

0

i

NPVi


Engineering economy

NAV

  • NPV


Engineering economy

  • NAV 0

  • NAV 0 NAV


Engineering economy


Engineering economy


Engineering economy

3IRRi

NPV

0

i

IRR

i


Engineering economy

  • a. ij

  • NPV (ij) = 0ij=IRR

  • NPV (ij) > 0 ij

  • NPV (ij) < 0 ij

  • b. i1NPV(i1)>0i2NPV (i2)<0


Engineering economy

c. IRR

4

IRR


Engineering economy

  • i0=10%


Engineering economy


Engineering economy

  • IRR


Engineering economy

i0=10%

IRR=13.5%


Engineering economy


Engineering economy

  • ERR


Engineering economy


Engineering economy

t

t

3.


Engineering economy

i0=10%


Engineering economy

ERR=10.1%10%


Engineering economy

IRRERR

3.

IRRi0IRR ERR i0

IRRIRR


Engineering economy

0


Engineering economy


Engineering economy

  • 0


Engineering economy


Engineering economy

3

IRRi0

IRRi0


Engineering economy

i0=10%


Engineering economy

i1=20% NPV1=0.106

i2=25% NPV2=-0.048

IRR=23.4% i0YX


Engineering economy

1.

2.

3. NPVI > 0 NPVI

4.NPVNPVI


Engineering economy

  • 1.

  • 2.


Engineering economy

(1)

(2)

1.


Engineering economy

=/100%

=--

=/100%

=-


Engineering economy

=/100%


2 b c

2.-B-C


Engineering economy

  • -=/

  • B-C1


Engineering economy

-

  • -1


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

  • NPVAW NPV IRR


Engineering economy

ABC20003000400070095011506i0=10%


Engineering economy

1

NPVBNPVA NPVC

B


Engineering economy

2

B


Engineering economy

3

B

4NAVNFV


Engineering economy

IRR

  • A:IRR=26.4%

  • B:IRR=22.1%

  • C:IRR=18.2%


Engineering economy

  • 2

  • (1)NPVPC

  • (2) (NAVAC)


Engineering economy

ABi0=12%


Engineering economy

1.

2.

A


Engineering economy

  • NPVR,IRR


Engineering economy

  • ABCi=8%

1.

2.450


Engineering economy

1.

ABCNPV

ABCNPV0ABC

1.


Engineering economy

2.


Engineering economy

1

ABC

  • ABCABACBCABC

  • BC ABC

  • NPV

  • NPVA=54.33NPVB=89.18NPVC=78.79

  • NPVA+B=54.33+89.18=143.51

  • NPVA+C=54.33+78.79=133.12

  • 450AB


Engineering economy

NPVRIRR

0.543

19.06%

0.315

14.61%

A

0.297

14.27%

C

B

100

250

300

100

350

650

2

AC


Engineering economy


Engineering economy


Engineering economy


Engineering economy

ABC i0=10%

1.

2.40005000


Engineering economy

1.

A2

B2


Engineering economy

C2

A2B2C2

2.


Engineering economy

NPVR

3.5

2

C1-0

A1-0

0.7

0.5

B2-0

A2-A1

C2- C1

1000

1000

2000

1000

1000

1000

2000

4000

5000

6000

1


Engineering economy

  • 4000

  • A1+B2 +C1

  • 5000

  • A2+B2 +C1


Engineering economy


Engineering economy

  • 1.

  • BEP

  • Break-even point (),


Engineering economy

  • 2.


Engineering economy


Engineering economy

3300078003000


Engineering economy

Q0=3P=3000/C=7800

Cf=3000

CV=7800-3000/3=1600/

=3000/3000-1600=2.14

=2.14/3100%=71.3%

=1600+3000/3=2600/

=3000-3000/3=2000/


Engineering economy


Engineering economy

X

X0


Engineering economy

3.5/m22/m21


Engineering economy

X

C1=3.5X

C2=2 X+10000

C1= C2

3.5X= 2 X+10000

X=6667

X6667X6667


Engineering economy

  • 1.


Engineering economy

2.

1

2


Engineering economy

3.

  • 1 2

  • 3 4

  • 5 6

  • 7 8

  • 9


Engineering economy

4.

1

NPVNAVTPIRR

2

3

4


Engineering economy

5.

  • 1


Engineering economy

2


Engineering economy

  • NPV=0IRR=i0


Engineering economy

  • 20%10%


Engineering economy


Engineering economy

  • KxSyCzL

  • NPV i0=10% =-K+S-CP/A10%10

  • P/F10%1+LP/F10%11

  • NPV i0=10% =-K1+x+S-CP/A10%10P/F10%1+LP/F10%11

  • NPV i0=10% =-K+ S (1+y) -C P/A10%10P/F10%1+LP/F10%11

  • NPV i0=10% =-K+ S -C (1+z) P/A10%10P/F10%1+LP/F10%11


Engineering economy


Engineering economy

NPV

11394

-20 -15 10.3-10 -5

5 10 13.4 15 20


Engineering economy

  • 93.6%0

  • 13.42%0

  • 10.3%0

  • -1.32

  • -7.45

  • 9.70


Engineering economy


Engineering economy


Engineering economy

  • E(X)X X

  • P


Engineering economy

1

  • 7.9652.10121812%


Engineering economy


Engineering economy


Engineering economy

  • 70%

    1-0.1-0.2=0.7

    /=2.1894

    2


Engineering economy

  • 1

  • 2

  • 3


Engineering economy

  • 11


Engineering economy

  • 134


Engineering economy


Engineering economy

  • 0

  • 136


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

FNPVFIRRPt

FIRR

FIRR


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

1

2


Engineering economy


Engineering economy

  • =-

    =+++

    =+


Engineering economy


Engineering economy

  • 1

    2

    3


Engineering economy


Engineering economy

1.


Engineering economy

2.


Engineering economy


Engineering economy

1.

  • 1.

  • 2.

  • 3.

    15%20%5%12%


Engineering economy

2.

  • =-

  • =+++

  • =+

  • =-


Engineering economy

3.


Engineering economy


Engineering economy

1.

  • =+

  • =++++

  • =++


Engineering economy

2.

  • =++++++

  • =++


Engineering economy

3.


Engineering economy

4.


Engineering economy


Engineering economy


Engineering economy


Engineering economy


Engineering economy

1

  • 3600306060540104%26


Engineering economy


Engineering economy

  • 46%4%

  • 6

  • 38/6%25%8%

  • 10%15%


Engineering economy

  • 210%30%

  • 1.

  • 2.

  • 3.FIRRFNPV

  • 4.


Engineering economy


Engineering economy


Engineering economy


Engineering economy

1

  • ()

  • ()()


Engineering economy


Engineering economy

2

  • ()

    ()()


Engineering economy

()()()()()


Engineering economy

3

  • ()

  • 1


Engineering economy

  • 2

  • 3


Engineering economy

3

  • 4

    ()


Engineering economy

4

  • ()

  • 1()

  • 2


Engineering economy

5

  • ++


Engineering economy

5

  • ++>

  • =--


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1 firr 2 fnpv

1.FIRR2.FNPV

  • FIRRfinancial internal rate of return

  • FNPV: financial net present value


3 roi

3.ROI

  • ROIreturn on investment

  • ROI=EBIT/TI*100%

    =/*100%

  • EBIT:earnings before interest and tax=+

  • TI:total investment


4 roe

4.ROE

  • ROE:return on equity

  • ROE=NP/EC*100%=/*100%

  • NP: net profit

  • ECequity capital


5 icr

5.ICR

  • ICR:interest coverage ratio

  • ICR=EBIT/PI

    =/

  • PI:pay interest

  • ICR1


6 dscr 1

6.DSCR1

  • DSCRdebt service coverage ratio

  • DSCR=(EBITDA-TAX)/PD=/

  • EBITDAEarnings Before Interest Taxes Depreciation and Amortization

  • EBITDA

  • TAX

  • Depreciation[d,prien ]

  • Amortization[mtzen ]


Engineering economy

7.

  • LOAR)

  • LOAR:liability on asset ratio

  • Liability:[,lablt] , ; ;,

  • LOAR=/*100%

  • 40%~60%


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8.

  • =/*100%

  • 200%

  • =/*100%

  • =-

  • 100%


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2

  • 1.5263.9060028

  • 2.10%43.83001233%

  • 4.370%490%

  • 5.50%270%90%


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  • 2.

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  • 1

  • 2

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  • 2.

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  • 7.


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  • 35%

    30%


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  • 65%40%25%40%25%


Engineering economy


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  • =/-100%


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1


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2


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3


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4


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5


6 wacc

(6)(WACC)

Weighted average cost of capital


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2.

  • 1

  • 2

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  • 4

  • 5

  • 6

  • 7

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3.

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4.

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2.

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  • 1.:

  • 2.:

  • 3.:

  • 4.:


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  • ABC


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1.


2 abc

2. ABC

  • A20%70%B40%20%C40%10%A CB


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  • 17ABC


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3.


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4.

  • V=F/C


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2.


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1


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2


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3


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3.

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1

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  • 408.5506.82.5


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  • =10*0.267+8*0.333+8*0.133+10*0.200+10*0.067=9.06

  • =8.80

  • =9.06/9.06+8.80=0.507

  • =0.493


Engineering economy

=8.5+40/2.5=24.5/

=6.8+50/2.5=26.8/

=24.5/24.5+26.8=0.478

  • =0.522


Engineering economy

=0.507/0.478=1.061

  • =0.493/0.522=0.944


Engineering economy

  • 3.X

  • (8.5+40/X)/(6.8+50/X)=0.507/0.493

  • X=7.58


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0-4

  • 40312


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  • bcdeadab


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  • ABCD1420/1230/1150/1360/


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  • 1.

  • 2.


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Engineering economy

A9*0.350+10*0.225+9*0.225+8*0.100+9*0.100=9.125

  • B9.275

  • C: 8.900

  • D: 8.150

  • 9.125+9.275+8.900+8.150=35.45


Engineering economy

  • A:9.125/35.45=0.257

  • B:0.262

  • C:0.251

  • D:0.230


Engineering economy

  • A:1420/(1420+1230+1150+1360)=1420/5160=0.275

  • B:1230/5160=0.238

  • C:0.223

  • D:0.264


Engineering economy

  • A:0.257/0.275=0.935

  • B:1.101

  • C:1.126

  • D:0.871

  • CC


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  • 2.

  • =/

  • 3.

  • =/

  • 11


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  • 4.

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1

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  • A93%1438/


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BA87%1108/C79%1082/


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  • 1.

  • 2.12170


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11 21 31


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1.


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39.05+8.75+7.4525.25


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2.

3.

B


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  • 2

  • 2


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Engineering economy


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