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Use the following scenario for the question below. A group of 100 people seeks out an insurance company to underwrite health insurance for its members. The expected medical spending for the group is $150,000. Assume a net loading cost of 15 percent. If an additional 10 people, who have expected medical spending of $5,000 per person on average, join the group, the new premium will be approximately: a. $2,100. b. $2,300. c. $1,818. d. $3,090. e. $5,822.

Respuesta :

adioabiola

The new premium given the medical spending and the number of people will be approximately $2,100

How to find new premium

Given:

  • Number of people = 100
  • Additional people = 10
  • Total = 110
  • Medical spending = $150,000

Medical spending per person (additional) = $5000

Medical spending for additional people = $5,000 × 10

= $50,000

Total medical spending = $150,000 + $5,000

= $200,000

Average per person = Total medical spending / number of persons

= $200, 000 / 110

= $1818.18181818181

Net loading cost = 15%

New premium = 1818.18181818181 + (15% of 1818.18181818181)

= 1818.18181818181 + 272.727272727272

= $2090.90909090909

Approximately,

$2,100

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