The Vulcan Corporation has cash outflows of $100 per day, seven days a week. The interest rate is 5 percent, and the fixed cost of replenishing cash balances is $10 per transaction.
What is the optimal initial cash balance? What is the total cost?
The total cash needed for the year is 365 days $100 $36,500. From the BAT model,we have that the optimal initial balance is:
The average cash balance is $3,821/2 = $1,911, so the opportunity cost is $1,911 *
.05 = $96. Because Vulcan needs $100 per day, the $3,821 balance will last $3,821/100 =
38.21 days. The fi rm needs to resupply the account 365/38.21 = 9.6 times per year, so the
trading (order) cost is $96. The total cost is $192.
Results (
Chinese) 1:
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火神公司拥有每一天,一周七天 100 美元的现金流出。利率是 5%,并补充现金余额的固定的成本是 10 美元,每笔交易。最优初始现金余额是什么?总成本是什么?需要为这一年是 365 天 $100 美元的现金总额 36,500。从蝙蝠模型,我们有最佳的初始平衡是︰平均现金余额是 $3,821 / 2 = $1,911,这样的机会成本是 $1,911 *.05 = 96 美元。因为火神需要每天 100 美元,美元 3,821 平衡将持续美元 3,821 / 100 =38.21 天。Fi rm 需要补给的帐户 365 / 38.21 = 9.6 倍每年,所以交易 (顺序) 成本是 96 美元。总成本是 $192。
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Results (
Chinese) 2:
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火神公司拥有每天100 $,一周七天的现金流出。利率为5%,并补充现金余额的固定费用为$ 10每笔交易。
什么是最佳的初始现金余额?什么是总成本?
所需的年度总现金为365天?$ 100〜$ 36,500。从BAT模型,我们有最佳的初始余额为:
平均现金余额为$ 3,821 / 2 = $ 1,911,所以机会成本为$ 1,911 *?
0.05 = $ 96个?由于火神需要每天$ 100,则$ 3,821余额将持续$ 3,821 /?100 =?
38.21天。该网络RM需要补给账户每年365 /?38.21?= 9.6倍,因此
交易(订单)的成本为$ 96 总成本为$ 192
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