FM 2012 Worksheet

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    FPWM WORKSHEE

    1 An investors saves Rs.15575 in your bank which gives him 8% interest pa compounded annual

    much money will he get after 10 years?

    33,625.26

    2 Mr. Gupta wants to have Rs.575000 after ten years for his daughter's education. The prevailing

    be invested now to achieve his goal?

    185,134.61

    3 Mr. Shiv wants to have 8,00,000 after five years for buying a car. What is the amount he will n

    he plans to invest in a balanced fund (where return can be estimated at 12 % to be on the conse

    Rs. 442,940.60

    4 Mr. & Mrs. Shaw spends Rs.360000 per annum to meet annual living costs. They wish to main

    after ten years. Their financial planner assumes inflation will be 7% p.a. for the first five years,

    they will will need 75% of their present expenses. How much will they need pa after retirement

    270000

    378,688.97

    -582,659.92

    5 If the nominal rate of return is 24%, and the rate of inflation is 9%, find the real rate of return.

    6 Mr. Gupta who is 30 years old spends R.2,00,000 p.a. to maintain his living standard. He will rinflation is assumed to be 7% for the next thirty years.

    If he wants to maintain the same standard of living even after retirement, how much should he

    7

    8%

    1 30 million 15% 1.15 1.073173

    2 45 million -5% 0.95

    3 20 million 10% 1.1

    4 25 million 15% 1.15

    5 35 million 3% 1.03

    Ulli Lohrmann and his wife, Suzanne Lohrmann, are planning for retirement and want to c

    performance of a few mutual funds they are considering for investment. They believe that a co

    year period would be appropriate. They are given the following information about the Rhein

    that they are considering.

    YearAUM at the beginning of the

    yearNet Return

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    1 2 3 4 50 34.5 20 22 28.75

    30 45 20 25 35

    4.5 2.25 2 3.75 1.05

    34.5 20 22 28.75 36.05Cash Flows (CFt)

    8 Lisa earns a return of 6.2% for the last 100 days on stocks and Thomasearns a return of 5% for

    Balance at the end of year

    Withdrawal by the investor (cash

    outflow for the mutual fund) at the

    end of the year 0 22.75 0 0

    Investment gain (loss)

    6.25

    Net balance at the beginning of year

    2)Compute the geometric mean annual return. How does it compare with the arithmetic mean

    3)The Lohrmanns want to earn a minimum annual return of 5 percent. Is the money-weighted

    return greater than 5 percent?

    YearBalance from previous year

    New investment by the investor (cash

    inflow for the mutual fund) 30 10.5 0 3

    1)Compute the arithmetic mean annual return

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    T 1

    y. How

    rate of interest is 12%.How much is needed to

    ed to invest now, if as a moderate risk taker,

    vative side) and returns are compounded quarterly?

    ain the same standard of living after retirement

    and 9% p.a. for the next five years. The family feels after retirement

    to fund their present lifestyle?

    Effective rate

    0.13761

    tire at the age of 60 . 1,522,451.01 -19,510,553.53 5,582.48

    ave every month if the rate of interest thorughout the period is 12% ?

    ompare the past

    parison over a five-

    alley Superior Fund

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    he last three months on mutual funds. Compare the returns.

    nnual retu

    nnual

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    SBI Magnum Emerging Businesses 11.53 24.35 2.21

    SBI Magnum Global -0.21 16.5 2.09

    SBI Magnum Midcap -3.93 7.77 2.37

    Sahara Mid-Cap Fund -5.26 10.96 2.5

    Sahara Star Value -2.68 -- 2.5

    Sahara Wealth Plus Fixed Pricing -5.41 9.82 2.5

    Sahara Wealth Plus Variable Pricing -4.61 10.74 2.5Sundaram Equity Multiplier -9.36 6.41 2.36

    Sundaram S.M.I.L.E. Inst -2.87 -- 1.5

    Sundaram S.M.I.L.E. Reg -3.84 9.15 2.24

    Sundaram Select Midcap Inst -4.69 -- 1.5

    Sundaram Select Midcap Reg -5.19 14.19 1.89

    Tata Dividend Yield -0.55 18.33 2.35

    Tata Growth -1.41 10.3 2.43

    Taurus Discovery -3.64 4.55 2.5

    Taurus Ethical -6.51 10.66 2.5

    UTI Master Value -7.47 18.63 2.18

    UTI Mid Cap -2.46 16.42 1.58

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    taking a random sample of twenty funds.

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    9 Find Holding period returns, mean and standard deviation

    Month End price

    Dec,1994 42.625

    Jan,1995 47.25

    Feb,1995 48

    Mar,1995 42Apr,1995 42.5

    May,1995 43.375

    Jun,1995 41.625

    Jul,1995 42.375

    Aug,1995 41.25

    Sep,1995 38.75

    Oct,1995 39.5

    Nov,1995 43.5

    Dec,1995 46

    Jan,1996 50.875

    Feb,1996 53.375

    Mar,1996 53.5

    Apr,1996 55.375

    May,1996 55.5

    Jun,1996 55.5

    Jul,1996 58.625

    Aug,1996 56.25

    Sep,1996 57.375

    Oct,1996 57.625

    Nov,1996 60.125

    Dec,1996 58.875