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    ANALISIS HARGAMINYAK GASARSEGIANTO

    Institut Teknologi BandungProgram Studi Teknik Perminyakan

    2012

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    BUKU ACUAN

    Jack Hirshleifer

    Price Theory and Application

    Prentice Hall, Inc.

    Englewood Cliffs, New Jersey

    1987

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    YANG AKAN DIBAHAS

    A. TERBENTUKNYA HARGA

    B. ANALISIS SUPLAI

    C. ANALISIS DEMAN

    D. PAJAK DAN SUBSIDI

    E. KEGAGALAN PASAR

    F. KEBIJAKAN HARGA PADA MONOPOLI YANG DIATUR

    G. EKONOMI SUMBERDAYA TIDAK TERBARUKAN

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    TERBENTUKNYA HARGA

    Pada sistem pasar, harga (P) terbentuk oleh perpotongankurva penawaran dan kurva permintaan. Output atauvolume transaksi ada di X.

    P

    0 X

    Permintaan

    Penawaran

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    ANALISIS PENAWARAN

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    Fungsi Produksi

    X1

    X2

    YINDUSTRY k

    Y = y(X1 , X2)

    Cobb-Douglas: Y = A KLD

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    X1

    X2

    Y = 5

    0

    Y = 8

    4

    10

    2 8

    Output Y=5 dihasilkan dari kombinasiinput (X1=2 dan X2=10) atau kombinasi

    input (X1=8 dan X2=4)

    Pada kombinasi input (X1=8 dan X2=4), input X1 tetap 8,

    sementara X2 dinaikkan menjadi 10. Output bertambah

    menjadi 8; kedua input saling mensubstitusi.

    Kurva Isoquant

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    X1

    X2

    Y*

    0

    Y**

    Y* < Y**

    Input X1 dan X2 sama sekali

    tidak dapat saling substitusi

    X2

    X1

    Y*

    Y**

    Substitusi antar Input

    Input X1 dan X2 saling substitusi

    secara sempurna

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    X1

    X2

    0

    l

    Budget Line

    Budget line (l) menunjukkan kombinasi input yang dapat

    diperoleh dari budget yang tersedia. Sudut budget linemerepresentasikan perbandingan harga input.

    1

    2

    2

    1

    2

    Harga input X2 tetap, hargaX1

    naik, jumlahX1 berkurang, budget

    line bergeser mendekati 0

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    X

    $

    0

    FC

    C = FC + VC VC

    Total Cost (C) = Fixed Cost (FC) + Variable Cost (VC)

    Fungsi Biaya

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    AVERAGE COST (AC) DAN MARGINAL COST (MC)

    X

    C

    0

    C = f(X)

    MC

    AC

    Average Cost, AC = C/X

    Marginal Cost, MC = dC/dX

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    AC minimum pada MC = AC

    Diseconomies of scale

    Economies of scale di daerah di mana d(AC)/dx < 0

    Diseconomies of scale di daerah di mana d(AC)/dx >0

    0 X

    C

    0 X

    MC

    AC

    Economies of scale

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    Ilustrasi (1)

    Cost function suatu sumur minyak ditunjukkan olehpersamaam berikutC = 0,5y2 + 6y + 10.

    Berapa fixed cost, total cost, marginal cost, dan

    average cost pada y = 10 ?Solusi: Fixed cost = 10

    MC = y + 6

    AC = 0,5y + 6 + 10/y

    Pada y = 10,

    C = 0,5 x 102 + 6 x 10 + 10 = 120

    MC = 10 + 6 = 16

    AC = 0,5 x 10 + 6 + 10/10 = 1214

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    Optimisasi Produsen

    MCMR

    dx

    dC

    dx

    dR

    dx

    d

    dx

    dC

    dx

    dR

    dx

    d

    CR

    =

    =

    =

    =

    =

    atau

    :sehingga

    0keadaanpadaMaximum

    Profit maximizing producer will produce at theoptimum output, where MC = MR.

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    Sistem Pasar

    Sistem pasar terbentuk terdapat banyak produsen danbanyak konsumen saling bersaing dalam melakukantransaksi Tiap individu produsen memiliki pangsakecil sehingga tidak dapat mempengaruhi harga pasar

    Rp

    C

    0 X

    C > R

    R

    C > R

    R > C

    P

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    Optimasi Produsen di Sistem Pasar

    dx

    dPxP

    dx

    Pxd

    dx

    dRMR

    PxR

    +===

    =

    )(

    Pada sistem pasar, P f(x)

    MC = MR = P

    Produsen adalah price taker. Secara individu ia tidakdapat mempengaruhi harga. Produsen merespons hargadengan mengatur output sedemikian sehingga MC = P

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    Respons Produsen Terhadap Perubahan Harga

    0 X1 X2 X3

    MC

    Sebagai price taker, produsen merespon terhadapperubahan harga. Harga meningkat akan membuatprodusen meningkatkan outputnya, dan sebaliknya.

    P3

    P2

    P1

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    Suplai Industri di Sistem Pasar

    0 X1

    Kurva suplai

    MC = MC1

    +MC2

    MC1MC2

    Kurva suplai industri adalah kompositdari semua establishments di industri.

    P

    X2 X1+X2

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    ANALISIS PERMINTAAN

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    TEORI UTILITI

    0

    For fixed increment of x,additional Ui is diminishing :

    U1 > U2 >U3

    U

    x x x x

    U3

    U2

    U1

    U = f(X)

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    Fungsi Utilit i Untuk 2 komodit i X1 dan X2

    0

    U

    X1, X2

    U = f(X1,0)

    U = f(0,X2)

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    Kurva Iso-Utiliti

    Sepanjang kurva, kombinasi X1 dan X2 memberikantingkat utiliti yang sama.

    Bentuk kurve ini konvex ke pusat. Mengapa?

    0

    x1

    x2

    U = f(X1,X2)

    5

    8

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    y = IncomeP1, P2 = price of commodities 1 and 2

    x1, x2 = volume of commodities 1 dan 2

    0

    U1 < U2 < U3

    x1

    x2

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    Budget Line

    ),,(

    ),,(

    2122

    2111

    2211

    PPyxx

    PPyxxxPxPy

    =

    =+

    y = IncomeP1, P2 = harga komoditas 1 dan 2

    x1, x2 = volume komoditas 1 dan 2

    0

    y = P1x1 + P2x2

    x1

    x2

    2

    1

    1

    2

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    Optimisasi Konsumen

    ),,(

    ),,(

    2122

    2111

    2211

    PPyxx

    PPyxxxPxPy

    =

    =+

    y = IncomeP1, P2 = price of commodities 1 and 2

    x1, x2 = volume of commodities 1 dan 2

    0

    X1

    X2 X 2X2

    X 1

    X1

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    Optimisasi Konsumen

    ),,(

    ),,(

    2122

    2111

    2211

    PPyxx

    PPyxxxPxPy

    =

    =+

    y = IncomeP1, P2 = price of commodities 1 and 2

    x1, x2 = volume of commodities 1 dan 2

    0

    x1

    x2

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    INCOME ELASTICITY

    =

    ==dy

    dx

    x

    y

    ydy

    x

    dx

    yincomeofchange%

    for xdemandofchange%

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    OWN-PRICE ELASTICITY

    =

    ==dP

    dx

    x

    P

    P

    dP

    x

    dx

    xPpriceofchange%

    for xdemandofchange%

    CROSS-PRICE ELASTICITY

    =

    ==2

    1

    1

    2

    2

    2

    1

    1

    x2Ppriceofchange%for x1demandofchane%

    dPdx

    xP

    P

    dPx

    dx

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    Sistem Monopoli

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    Monopolistic system occurs when there is onlyone or a group of producers behaving such as asingle producer deals with many consumers.Price changes with the producers output.

    Rp

    C

    0 X

    C > R

    R

    C > RR > C

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    PMRdx

    dPdx

    dPxPMR

    xfP

    Px

    dx

    dMR

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    Harga pada Monopoli

    MC

    MR

    P = AR (average revenue)

    PM

    0 yM

    Price responds to output. MR lies below P (= AR).Producer maximizes profit at MC = MR at YM

    At output YM

    , the corresponding price is PM

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    ANALISIS WELFARE

    Sistem pasar menjamin ekonomi bekerja secara efisien

    seperti ditunjukkan oleh analisis welfare.

    CS (consumers surplus) = ABP

    PS (producer surplus) = BCP

    SW (social welfare) = CS + PS= ABC

    SW merepresentasikan efisiensi

    ekonomi.

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    Supply

    Demand

    P

    0 y1 y2

    A

    B

    C

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    TAX AND SUBSIDY

    Tax makes output decrease and price increase ....

    0 x

    P = f(x)

    SPT

    P0

    XM X0

    S + T

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    Terdapat 100 perusahaan yang identik dan saling bersaing. Masing-

    masing perusahaan mempunyai persamaan biaya:

    Ci = 0,1 yi 2 + 5yi + 10

    Fungsi permintaan adalah : Y = - 400 P + 6500

    Apabila dikenakan pajak sebesar 1 per produk, siapa yang

    membayar pajak?

    WHO PAY TAX ?

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    Pengaruh Pajak Terhadap Efisiensi Ekonomi

    Pajak membuat efisiensi ekonomi menurun

    CS = ADPP

    PS = CEF

    TX (pajak) = DEFPP

    Swdengan pajak = CS+PS+TX

    = ADEC

    40

    Demand

    Supply

    P

    0 y1 y2

    A

    B

    C

    Supply + Pajak

    PP D

    EF

    SW Swdenganpajak = DEB

    (dead weight loss)

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    while subsidy makes output increase and price decrease

    0 x

    P = f(x)

    S

    P0

    PSb

    XM X0

    S - Sb

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    Terdapat 100 perusahaan yang identik dan saling bersaing. Masing-

    masing perusahaan mempunyai persamaan biaya:

    Ci = 0,1 yi 2 + 5yi + 10

    Fungsi permintaan adalah : Y = - 400 P + 2000

    Apabila pemerintah memberikan subsidi 1 per produk, siapa yang

    menikmati subsidi tersebut?

    WHO ENJOY SUBSIDY?

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    Pengaruh Subsidi Terhadap Efisiensi Ekonomi

    Subsidi membuat efisiensi ekonomi bertambah

    CS = ADPS

    PS = DFPS

    SP (subsidi) = DEFPP

    SWsubsidi = CS+PS-SP

    = ABP + CEF + BED

    43

    Supply

    Demand

    P

    0 y yS

    A

    B

    C

    Supply + Subsidi

    PS D

    E

    F

    Swsubsidi

    SW = BDE

    Efisiensi ekonomi naik

    sebesar BDE dengan

    adanya subsidi

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    MARKET FAILURE

    Market system guarantees the economy work efficiently asshown by welfare analysis.

    There are some conditions that make market fail (market

    failure) to keep economy efficient, those are when facing :

    Public goods Non-renewable resources

    Natural monopoly

    Economic externality

    Tax

    Subsidy

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    NON-RENEWABLE NATURAL RESOURCE

    For example: crude oil, natural gas, coal

    o The extraction of non-renewable natural resource at

    present will decrease the volume of the extractable

    resource in the future.

    o Government may levy depletion premium for each

    unit of resource extracted to finance the effort of

    finding the replacing alternatives of the same amount.

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    GOVERNMENT MADE MONOPOLY

    Example: electricity network, gas network

    o Electricity network or gas network is served at certain area by

    single operator (monopolist). No other operator may operate

    in that area.

    o Government may establish a state company to operate the

    business, or award a monopoly right to private company

    through bidding. Although the operation right is monopolized

    by the company, government still hold the right in

    determining the price of the service.

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    NATURAL MONOPOLY

    Declining average cost.

    Price decreases asdemand increases

    P1

    P2

    X1 X2

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    Zero profit pricing

    Rate of Return Regulation

    Multi-part pricing

    Long-run Marginal Cost Pricing

    PRICE SETTING UNDER

    REGULATED MONOPOLY SYSTEM

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    ZERO PROFIT PRICING

    )().(

    0..

    :conditionprofitZero

    yPy

    yyPAR

    yACyARTCTR

    ACAR

    ==

    ==

    =

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    MULTI-PART PRICING

    MC

    MRAR

    P1

    P2

    0y

    1y

    2

    Consumers 1 (the haves) pay at P1, and consumers 2 (the haves-

    not) pay at P2.

    Area = Area

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    Averch - Johnson Effect :

    is the tendency of companies to engage in excessiveamounts of capital accumulation in order to expand thevolume of their profits. If companies profits to capital ratio isregulated at a certain percentage then there is a strongincentive for companies to over-invest in order to increaseprofits overall. This goes against any ptimal efficiency pointfor capital that the company may have calculated as higherprofit is almost always desired

    over and above efficiency.References

    Averch, Harvey; Johnson, Leland L. (1962). "Behavior of theFirm Under Regulatory Constraint".American Economic

    Review 52 (5):10521069. JSTOR 1812181. 53

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    RATE-OF-RETURN REGULATION

    Pipa transmisi sepanjang 300 km, diameter 28dibangun untuk mengalirkan gas sebesar 300MMCF/D. Kompresor yang dipasang berukuran 1.000HP. Biaya investasi pipa (termasuk pembebasan

    tanah, comissioning dll) US$ 20/in.meter. Biayapembangunan stasiun kompresor adalah US$5 jutaplus US$ 1500/HP. Overhead tahunan US$ 2 juta, danO&M (operation and maintenance) per tahun untukpipa dan kompresor adalah 2% dan 25% dari investasiawal kapital masing-masing. Pemerintah menetapkanIRR sebesar 10% per tahun. Berapa toll-fee gas dalamUS$ per MSCF?

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    AGGREGATE SUPPLY AND DEMAND

    Aggregate supply refers to the amount of output that

    business will produce and sell, given the prevailing prices,

    productive capacity, and costs Aggregate demand refers to the amount that consumers,

    firms, government will spend, given the prevailing prices,

    income, and other economic variables

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    Short run: wage rate is constant (low), contractbetween employer and employee

    AD

    Long Run

    Short Run

    Output

    AggregatePrice

    AS

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    AD = f(price, income, taxes, government spending,money supply, future expectation)

    AD

    Output does not change (orincrease infinitesimal)

    Short Run

    Output

    AggregatePrice

    AS

    Cost of adjustment = price increase

    P*

    P AD*

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    AD = f(price, income, taxes, government spending,money supply, future expectation)

    AGGREGATE DEMAND

    Y = C + I

    Y = C + S

    Consumption

    Disposable Income (Y)

    Exp

    enditure

    C(Y)Saving

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    INVESTMENT

    Category : 1. purchase of equipment

    2. adding to inventories

    3. construction of factories, houses, etc.

    Decision to invest

    Profit = Revenue Cost > 0Cost = f(interest rate, tax, labour, feedstock, etc.)

    Interest rate : nominal

    real = nominal inflation rate

    CPIt CPIt-1Inflation Rate = ---------------- x 100%

    CPIt

    In the long term, investment is volatile

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    NATIONAL INCOME DETERMINATION

    Classical approach : all prices and wages are very muchflexible and clear out the market

    Keynesian approach : all prices and wages are not flexible,especially in short term (workingbased on contract)

    AD

    Output

    Price

    ASAD

    AD

    Keynesian

    PriceAS

    AD

    Classical

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    PETROLEUM ECONOMY INTERACTION

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    PETROLEUM ECONOMY INTERACTION

    Y (Gross output of non-petroleum sector) = y (E,R)

    E = petroleum input

    R = non-petroleum input

    Assume that y is linearly homogenous, i.e. y = (y / E) E + (y / R) R

    If efficiency in production is assumed, then maximizing y(E,R) PE E PR R

    Yields : (y /E) = P and (y / R) = P

    Multiply each with E/Y and R/Y respectively,

    Ey PE E PR R R y-- ---- = ------- = SE and SR = -------- = --- -----YE Y Y YR

    Assuming value of petroleum share,SE, remains constant over a wide range of E, then

    Y E Y E---- = SE ---- ln --- = SE ----Y E Y0 E0

    ES

    E

    E

    Y

    Y

    =

    00

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    ( ) [ ]

    [ ]

    =

    =

    ==

    =+=

    +==

    =

    E

    E

    E

    E

    PyaE

    E

    ya

    E

    yaP

    E

    yaaEbRaE

    E

    y

    bRaEREyy

    Sy

    EP

    E

    y

    y

    E

    :Then

    E

    y

    efficienteconomicAssuming

    1

    ,

    /11

    1

    11/1

    /1

    This is an approximate form of the energy demand as the function of y and

    PE. It assumes of y/E only (ceteris paribus)

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    [ ]

    ( )

    outputonimpactmoregivewill

    tyavailabilienergyinchangeThe1

    )(1

    (constant)1If

    ys:haveWe

    economies,efficientIn

    )(

    P

    1

    >=