A company has a daily float of $5,000 and the float time is 4 days. A bank is offering to reduce float time to 1 day. The bank is charging a fee $1,164 per year. The company’s hurdle return per year is 8.0%.
How much is the one time benefits of reducing float time from 4 days to 1 day?
How much is the present value of the perpetual fee to the bank?
How much is the NPV?
Show all work.