Myers and Associates, a famous law office in California, bills its clients on the first of each month. Clients pay in the following fashion: 40% pay at the end of the first month, 30% pay at the end of the second month, 20% pay at the end of the third month, 5% pay at the end of the fourth month, and 5% default on their bills. Myers wants to know the anticipated cash flow for the first quarter of 2009 if the past billings and anticipated billings follow this same pattern. The actual and anticipated billings are as follows. Fourth Quarter Actual Billings First Quarter Anticipated Billings Oct. Nov. Dec. Jan. Feb. Mar. $392,000 $323,000 $296,000 $340,000 $360,000 $408,000
Anticipated billings:
(In $)
Month | Billings |
October 2008 | 392,000 |
November 2008 | 323,000 |
December 2008 | 296,000 |
January 2009 | 340,000 |
February 2009 | 360,000 |
March 2009 | 408,000 |
Anticipated cash flows:
(In $)
January | February | March | Total | |
Cash collections: | ||||
40% of current month billing |
40%(340,000) 136,000 |
40%(360,000) 144,000 |
40%(408,000) 163,200 |
443,200 |
30% of previous month billing |
30%(296,000) 88,800 |
30%(340,000) 102,000 |
30%(360,000) 108,000 |
298,800 |
20% of two months back billing |
20%(323,000) 64,600 |
20%(296,000) 59,200 |
20%(340,000) 68,000 |
191,800 |
5% of three months back billing |
5%(392,000) 19,600 |
5%(323,000) 16,150 |
5%(296,000) 14,800 |
50,550 |
309,000 | 321,350 | 354,000 | 984,350 |
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