hard · Principles of Finance financial-statements-markets-wc
In a frictionless market with no taxes, a firm announces it will permanently shorten its cash conversion cycle by negotiating longer payables terms, freeing $50 million of cash that it will hold in marketable securities yielding the risk-free rate. A strong candidate claims this raises firm value by accelerating cash flow. The correct conclusion is that:
- Firm value is unchanged, because the freed cash is reinvested at a fair (zero-NPV) rate, so the timing benefit is exactly offset and only positive-NPV uses of the cash would add value
- Firm value rises by the present value of the $50 million accelerated one period, since pulling cash forward always increases value through the time value of money
- Firm value rises because longer payables represent a free, interest-free loan from suppliers that permanently lowers the firm's weighted average cost of capital
- Firm value falls, because stretching payables increases counterparty risk premiums that suppliers embed in prices, reducing operating margins by more than the cash benefit
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