You are valuing some shares of stock in a large private firm that is over 50 years old and has been regularly pay- ing dividends to its shareholders. You believe the shareholders will continue to receive dividends similar to what has occurred in the past. Assume the annual dividend for 20X0 is \($1,000\) per share, and it is expected to grow 5 percent per year on average. The firm pays dividends on December 31 of each year. 

Required 

Determine the share value as of January 1, 20X1, using both a discounted cash flow model and constant growth model. Next, determine whether the values from both models produce the same result using these case assumptions.