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What factors do insurance companies consider when calculating premiums for young drivers?

Auto Insurance is required by law in Louisiana, but how much you pay in insurance for your teenage driver depends largely on:

Teen’s driving record

School grades

This example represents 6 month premium based on a 2001 Honda Civic DX 2-door with a teenager, having a clear record, as the principal operator. Assumes more than one vehicle in the household and all other drivers have been accident and violation free for at least five years. 
16 Yr Old Female $1,351 $1,584 15%
17-18 Yr Old Female $1,322 $1,526 13%
19 Yr Old Female $1,214 $1,409 14%
16 Yr Old Male $1,624 $2,429 33%
17-18 Yr Old Male $1,584 $2,341 32%
19 Yr Old Male $1,493 $2,192 32%

Whether teen has taken Driver’s Education

Driver’s Education can save you considerably when it comes to insurance premiums for your teenage driver, especially if your teenager qualifies as a Good Student.
Consider the following example 6 month premiums for teenage driver:

This example represents 6 month premium based on a 2001 Honda Civic DX 2-door with a teenager, having a clear record, as the principal operator. Assumes more than one vehicle in the household and all other drivers have been accident and violation free for at least five years.
16 Yr Old Female $1,351 $1,584 15%
17-18 Yr Old Female $1,322 $1,526 13%
19 Yr Old Female $1,214 $1,409 14%
16 Yr Old Male $1,624 $2,429 33%
17-18 Yr Old Male $1,584 $2,341 32%
19 Yr Old Male $1,493 $2,192 32%

Other factors include:

Make, model, and year of the car teen drives

Age and gender

Where teen resides

Whether teen is the primary or secondary driver of the car

How far the teen drives to and from school and work