Houston Corporation has an inventory conversion period of 60
Solution
Cash conversion cycle = days inventory outstanding + days sales outstanding - days payable outstanding
Cash conversion cycle = 60 + 36 - 24
Cash conversion cycle = 72
Length of company\'s cash conversion cyle is 72 days
days sales outstanding = 365 / Receivables turnover ratio
36 = 365 / Receivables turnover ratio
Receivables turnover ratio = 10.14
Receivables turnover ratio = Net credit sales / Average receivables
10.14 = 3,960,000 / Average receivables
Average receivables = $390,532.544
days inventory outstanding = 365 / Inventory turnover ratio
60 = 365 / Inventory turnover ratio
Inventory turnover ratio = 6.083
Houston truned over inventory 6.083 times
days inventory outstanding = 365 /8
days inventory outstanding = 45.625
Cash conversion cycle = 45.625 + 36 - 24
Cash conversion cycle = 57.625 days
Cash conversion cycle will decraese by 14.375
Receivables turnover ratio = Net credit sales / average receivables
Receivables turnover ratio = 2,400,000 / 80,000
Receivables turnover ratio = 30
Receivables collection period = 365 / 30
Receivables collection period = 12.17
Payables turn over ratio = COGS / payables
Payables turn over ratio = 2,520,000 / 180,000
Payables turn over ratio = 14
Payables deferral period = 365 / 14
Payables deferral period = 26.07
Inventory turover ratio = COGS / Average inventory
Average inventory = 8 * 48,000,000
Cost of goods sold = 384,000,000
Inventory convesrion period = 365 / 8
Inventory convesrion period = 45.625

