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$100.00 $86.48 $96.09 $1,037.75 $95.13 General Hospital is considering entering

ID: 2775971 • Letter: #

Question

       $100.00
       $86.48
       $96.09
       $1,037.75
       $95.13

General Hospital is considering entering a contract with CareShare HMO to provide all inpatient services for CareShare's 50,000 members. General Hospital has assembled the following actuarial information:

General
220 inpatient days per 1,000
$1,700 cost/day

Surgical
150 inpatient days per 1,000
$3,000 cost/day

Psychiatric
85 inpatient days per 1,000
$950 cost/day

Maternity
70 inpatient days per 1,000
$1,900 cost/day

Assuming that General Hospital needs to receive a premium that allows for administrative costs and a profit (risk) margin equal to 10 percent of the final PMPM premium, what is the minimum PMPM that General Hospital would be willing to accept? (Points : 2)

Explanation / Answer

To calculate the PMPM premium, we first need to determine the total amount for all plans on annual basis. After that we need to convert the amount on the monthly basis.

___________

Step 1) Calculate Total Amount on Annual Basis (Per 1,000):

Total Amount on Annual Basis (Per 1,000) = (Sum of Number of Inpatient Days*Per Day Cost for Different Service) = (220*1,700+150*3,000+85*9,50+70*1,900)/1,000 = (1,037,750)1,000 = $1,037.75

___________

Step 1) Calculate PMPM on Monthly Basis With Adjustment for Profit Margin:

The formula for calculating minimum PMPM can be derived as follows:

Minimum PMPM = (Annual Amount/12)*1/(1-Profit Margin %) = 1037.75/12*1/(1-10%) = $96.09 (which is Option C)

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Notes:

We divided by 1/(1-Profit Margin %) because the final amount of PMPM includes 10% margin.