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25 December, 14:27

The local electronics store is offering a promotion "1-year: same as cash," meaning that you can buy a TV now, and wait a year to pay (with no interest). So, if you take home a $ 1 comma 150 TV today, you will owe them $ 1 comma 150 in one year. If your bank is offering 4 % interest, what is the true cost of the TV to you today?

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  1. 25 December, 14:40
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    Real cost of the tv = $1104

    Explanation:

    Giving the following information:

    You can buy a TV now, and wait a year to pay (with no interest).

    So, if you take home a $ 1,150 TV today, you will owe them $ 1,150 in one year.

    Your bank is offering 4 % interest, you can lend the $1,150 to the bank and profit from the interest generated.

    We need to use the following formula:

    FV = PV * (1+i) ^n

    FV = Final value

    PV = present value

    i = interest rate

    n = number of years

    FV = 1150 * (1.04) ^1 = $1196

    Real cost of the tv = 1150 - 46 = $1104
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