1. What is the maximum amount it would be worth to shareholders to elicit high CEO effort all the time rather low CEO effort all the time?

To determine the maximum amount it would be worth to shareholders to elicit high CEO effort all the time rather than low CEO effort all the time, we need to consider the potential impact of CEO effort on firm performance.

Higher CEO effort can have several positive effects on a company, including improved decision-making, effective leadership, increased motivation for employees, and strategic thinking. These factors can contribute to better financial results, higher stock prices, and increased shareholder value.

To quantify the value of high CEO effort, we can consider the potential increase in firm value that could result from improved performance. One commonly used measure is the Tobin's Q ratio, which compares a firm's market value to its replacement cost. A Q ratio greater than 1 indicates that the market values the firm's assets at a higher value than their replacement cost.

To calculate the maximum amount it would be worth to shareholders, you would need to estimate the potential increase in firm value that could result from high CEO effort. This can be challenging, as it requires making assumptions about the CEO's influence on various performance metrics and market dynamics.

Here are some steps you could follow to estimate the maximum value:

1. Identify key performance metrics: Determine the performance indicators that are most influenced by the CEO's effort, such as revenue growth, profit margins, market share, or return on investment.

2. Estimate the potential impact: Assess the potential improvement in these performance metrics if the CEO consistently exerts high effort compared to low effort. This may require analyzing historical data, conducting surveys or interviews, and considering industry benchmarks.

3. Translate performance improvements into financial value: Measure how changes in these performance metrics are likely to affect firm value. This can be done by analyzing the historical relationship between performance and market valuation, or by using valuation models such as discounted cash flow or the residual income model.

4. Consider the time value of money: Take into account the time period over which the improved performance is expected to materialize. Discount future cash flows to reflect their present value, considering factors like inflation and the cost of capital.

By following these steps, you can estimate the maximum amount it would be worth to shareholders to elicit high CEO effort all the time rather than low CEO effort all the time. However, it is important to note that this estimation involves assumptions and uncertainties, and the actual value may vary depending on many factors specific to the company and its industry.