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12 May, 22:20

Investment A costs $6,000 today and pays back $8,000each year for six years. Investment B costs $6,000 today and pays back $9,000 the first year, with a $500 increase annually, making the second year $9,500, third year $10,000 and so forthfor six years. If an interest rate of 10% is used, which alternative is superior?

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  1. 12 May, 22:26
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    Investment B

    Explanation:

    In this question we need to compare the net present value which is shown below:

    For Investment A, the net present value is

    = - $6,00 + $8,000 : 1.10^1 + $8,000 : 1.10^2 + $8,000 : 1.10^3 + $8,000 : 1.10^4 + $8,000 : 1.10^5 + $8,000 : 1.10^6

    = $28,842.09

    For investment B, the net present value is

    = - $6,000 + $9,000 : 1.10^1 + $9,500 : 1.10^2 + $10,000 : 1.10^3 + $10,500 : 1.10^4 + $110,00 : 1.10^5 + $11500 : 1.10^6

    = $38,039.43

    As we can see that the investment B has highest net present value as compared to the investment A

    Therefore, investment B is superior
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