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21 November, 02:04

Consider a two-year period where a consumer has an income of $10,000 in year 1 and $8,000 in year 2. The consumer can borrow or lend at a rate of 10 percent. If the consumer decides to save $1,000 in year 1, it means:

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  1. 21 November, 03:28
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    The $1000 saved would be $1100 after one year and $1,210 after two years

    Explanation:

    $1000 saved by the consumer in year 1 would equal a higher amount which is the future value when interest rate is 10%, in other words the future value is usually computed with the below formula:

    FV=PV * (1+r) ^N

    PV is the amount saved which is $1000

    r is the lending or borrowing rate of 10%

    N is the time horizon for the investment which 1 year

    FV=$1000 * (1+10%) ^1

    FV=$1100

    if the amount is reinvested in year 2, the future value at the end of year 2 is as follows:

    FV=$1100 * (1+10%) ^1

    FV=$1,210
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