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    volora Posts: 22, Reputation: 1
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    #1

    Mar 15, 2009, 11:04 AM
    Annual rate of inflation
    I am using a financial calculator and having problems to find the correct answers, however my answer does not match the book example. Please I want to understand step by step how to do it. I apprecaite your help!

    1. If the price of milk has quadrupled (that is, grown four times) over the past 20 years, what has been the annual rate of inflation in milk prices over that time?

    2. What is the present value of a perpetuity of $2750 per year given an interest rate of 8.5 percent p.a. (Assume the first cash flow occurs three years from today).

    3. Assume that I deposit $1250 today into an account that pays 10% p.a. but with quarterly compounding. How much will be in my account exactly 35 years from today?

    4. The Smith family just purchased a $350,000 house with a $110,000 down payment and a 30-year mortgage loan. The interest rate on the loan is 6.50% p.a. and payments are made monthly. Assuming all required payments are made on time, what will be the remaining balance on the mortgage after 15 years (that is, right after the 180th payment is made)?
    ROLCAM's Avatar
    ROLCAM Posts: 1,420, Reputation: 23
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    #2

    Mar 29, 2009, 03:30 AM

    Question 1.

    If the price of milk has quadrupled (that is, grown four times) over the past 20 years, what has been the annual rate of inflation in milk prices over that time?

    For $1 to become $4, one needs an inflation
    Rate of 7.15% annually over 20 years.(APPROX)


    1 1.000000 1.071500
    2 1.071500 1.148112
    3 1.148112 1.230202
    4 1.230202 1.318162
    5 1.318162 1.412410
    6 1.412410 1.513398
    7 1.513398 1.621606
    8 1.621606 1.737550
    9 1.737550 1.861785
    10 1.861785 1.994903
    11 1.994903 2.137538
    12 2.137538 2.290372
    13 2.290372 2.454134
    14 2.454134 2.629605
    15 2.629605 2.817621
    16 2.817621 3.019081
    17 3.019081 3.234946
    18 3.234946 3.466244
    19 3.466244 3.714081
    20 3.714081 3.979637

    _____________________________________

    Try and have a go yourself on the other questions.
    Let us see what you can do.
    We shall have a look at your answers.

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