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18 December, 15:15

Suppose Nationwide increases the insurance premium they charge for their auto policies by 16 percent. In response, the demand for State Farm auto policies in a small town increases from 3 comma 500 to 4 comma 025. What is the cross-price elasticity of demand for State Farm auto policies in this town?

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  1. 18 December, 18:35
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    CPE = 15%/16% = 0,9375

    Explanation:

    The cross-price elasticity measures how the quantity demanded of good A changes when the price of good B changes by 1%.

    The cross-price elasticity (CPE) formula is:

    CPE = Δ%q of good A / Δ%p of good B

    good A: state farm auto policies

    good B: insurance premium for auto policies

    - Percentage change in the quantity demanded for good A:

    %Change in quantity demanded = (q2-q1/q1) * 100 = (4,025-3,500) / 3,500 = 0,15*100 = 15%

    - Percentage change in the price for good B: 16%

    -CPE = 15%/16% = 0,9375
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