Latihan 4 Asistensi Statek Ppt

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    Latihan 4 Asistensi Statek

    Venty IE 2009

    Maret 2013Dosen: Pak Uka & Bu Nanda

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    Soal 1

    Bleki adalah seorang lulusan FEUI yang baru saja diterima

    di sebuah perusahaan investasi terkenal di kawasanSudirman. Untuk bisa melewati masa probation(percobaan) dengan baik, ia harus dapat menunjukkankemampuan analisis yang baik terhadap pasar saham di

    Indonesia dan dunia.Tugas pertama yang dihadapinya adalah menghitung IHSGdalam waktu 5 menit, sehingga ia dapat memberikanrekomendasi saham kepada investor dengan cepat. Untukitu ia diberikan data harga saham per lembar besertajumlah saham beredar sebagai berikut (asumsi saham-saham tersebut adalah seluruh saham yang di jual di BursaEfek Indonesia).

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    Saham

    2007 2008 2009

    Harga Outstanding Harga Outstanding Harga Outstanding

    TLKM 600 2000 500 1500 700 2200

    BUMI 1000 200 1200 200 1300 200

    BBCA 2000 400 1800 500 2500 600

    BBNI 1500 100 1500 200 1600 300

    WIKA 1800 500 1700 600 1800 650

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    Why Convert

    Data to Indexes?

    An index is a convenient way to express a change in adiverse group of items.

    The Consumer Price Index (CPI), for example,encompasses about 400 itemsincluding golf balls,lawn mowers, hamburgers, funeral services, anddentists fees. Converting the prices of these manydiverse goods and services to one index number

    allows the federal government and others concernedwith inflation keep informed of the overallmovement of consumer prices.

    Converting data to indexes also makes it easier to assessthe trend in a series composed of exceptionally largenumbers.

    The estimate of U.S. retail e-commerce sales for the

    fourth quarter of 2007, adjusted for seasonalvariation, was $36,200,000 and $30,700,000 for thefourth quarter of 2006, an increase of $5,500,000.This increase is 18 percent, expressed as an index.

    In many situations we wish to combine several items and

    develop an index to compare the cost of this aggregation

    of items in two different time periods.

    For example, we might be interested in an index for

    items that relate to the expense of operating and

    maintaining an automobile. The items in the index

    might include tires, oil changes, and gasoline prices.

    Or we might be interested in a college student index.

    This index might include the cost of books, tuition,

    housing, meals, and entertainment.

    DIFFERENT INDEX NUMBERS

    1. Unweighted Indexes

    Simple Average of the PriceIndexes Simple Aggregate Index

    2. Weighted Indexes Lespeyres Price Index Paasche Price Index

    3. Fishers Price Index

    4. Value Index

    5. Special Purpose Index Consumer Price Index Producer Price Index S&P Index

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    1. Rumus Laspeyers:

    , sehingga dengan tahun dasar 2007,

    IHSG per tahun adalah:

    2007 = 1002008 = 91,08

    2009 = 114,46

    2. Agar dapat dibandingkan, maka tahun dasar Dow Jones harusdiubah menjadi tahun 2007, dengan cara:

    Dow Jones 2007 (tahun dasar 2007) = 100

    Dow Jones 2008 (tahun dasar 2007) =155,53 100

    156,78

    = 99,20

    Dow Jones 2009 (tahun dasar 2007) =190,67 100

    156,78= 121,62

    Oleh karena itu, pola pergerakan IHSG dan Dow Jones serupa,

    menurun dari tahun 2007-2008 dan meningkat dari tahun 2008-

    2009.

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    Soal 2

    Year Average Hourly Earnings

    2000 $11.47

    2005 $13.73

    2008 $15.19

    2010 $15.88

    2011 $16.40

    The average hourly earnings of production workers for

    September of selected years are given below.

    Using 2000 as the base period and 100 as the base value,

    determine the indexes for the other years.

    Use the average of 2000, 2005 and 2008 as the base and

    determine indexes for the other years.

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    Year Earnings Price Index(2000 = 100) answer no.a

    Price Index(2000-2008 = 100) answer no.b

    2000 $11.47 100 11.47/13.46*100 = 85.22

    2005 $13.73 13.73/11.47*100 = 119.70 13.73/13.46*100 = 102.01

    2008 $15.19 15.19/11.47*100 = 132.43 15.19/13.46*100 =112.85

    2010 $15.88 15.88/11.47*100 = 138.45 15.88/13.46*100 =117.98

    2011 $16.40 16.40/11.47*100 = 142.98 16.40/13.46*100 =121.84

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    Soal 3

    Fruits 2005 2010

    Price ($) Quantity Price ($) Quantity

    Bananas 0.23 100 0.35 120Grapefruit 0.29 50 0.27 55

    Apples 0.35 85 0.35 85

    Strawberries 1.02 8 1.40 10

    Oranges 0.89 6 0.99 8

    Fruit prices and the amounts consumed for 2005 and 2010are below. Use 2005 as the base.

    a) Determine Laspeyres price index.

    b) Determine the Paasche price index

    c) Determine Fishers ideal index.

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    Laspeyres price index

    Po Pt qo Pt.qo Po.qo

    0.23 0.35 100 35 23

    0.29 0.27 50 13.5 14.5

    0.35 0.35 85 29.75 29.75

    1.02 1.40 8 11.2 8.16

    0.89 0.99 6 5.94 5.34

    13.118100.75.80

    39.95100.

    .

    .

    oo

    ot

    qp

    qpP

    Konsumsi buah meningkat 18.13% dari 2005 ke 2010.

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    Paasche price index

    Po Pt qt Pt.qt Po.qt

    0.23 0.35 120 42 27.6

    0.29 0.27 55 14.85 15.95

    0.35 0.35 85 29.75 29.751.02 1.40 10 14 10.2

    0.89 0.99 8 7.92 7.12

    75.119100.62.90

    52.108

    100..

    .

    to

    tt

    qp

    qp

    P

    Konsumsi buah meningkat 9.75% dari 2005 ke 2010.

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    Fishers ideal index

    Fishers ideal index=

    (Laspeyres price index) (Paasche price index)

    94.11807.14146)75.119).(13.118(