Fargo Memorial Hospital has annual patient service revenues of $14,400,000. It h
ID: 2639648 • Letter: F
Question
Fargo Memorial Hospital has annual patient service revenues of $14,400,000. It has two major third-party payers, and some of its patients are self-payers. The hospital's patient accounts manager estimates that 10 percent of the hospital's billings are paid (received by the hospital) on Day 30; 60 percent are paid on Day 60; and 30 percent are paid on Day 90. (Five percent of total billings end up as bad debt losses, but that figure is not relevant to this problem.)
a.) What is Fargo's average collection period? (Assume 360 days per year throughout this problem.)
b.) What is the hospitl's current receivable balance?
c.) What would be the hospital's new receivables balance if a newly proposed electronic claims system resulted in collecting from third-party payers in 45 and 75 days, instead of in 60 and 90 days?
Explanation / Answer
Average Collection Period = (% of bills paid*number of days) + (% of bills paid*numberof days) +(% of bills paid*number of days)
= (0.10*30) + (0.60*60) + (0.30*90)
=66 days
hence, fargo's avg colelction period is 66 days
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Receivables balance = average daily billings*avg collection period
Average daily billings = annual revenues/360
Recievable balance = (14,400,000/360)*66
= 40,000*66
=$2640000
hence, hospitl's current receivable balance = $2,640,000
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New avg collection period = (0.10*30) + (0.60*45) + (0.30*75)
=52.5 days
Receivables balance = (14,400,000/360)*52.5
=$2,100,000
hence, hospital's new receivables balance would be $2,100,000
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