First, for development costs, we assume that the projected initial development cost is $2.5 million. This includes costs for software engineers, designers, project management, and hardware infrastructure. Meanwhile, annual maintenance and update costs are estimated at $400,000 per year. This includes error repair, feature updates, and server maintenance. In terms of marketing expenses, in the pre-release phase, we plan to allocate $500,000 to marketing activities, such as market research, branding, and building expectations. Before and after the launch, we will invest $1 million in marketing and promotional campaigns to drive initial adoption. In the revenue forecast front, we expect to generate revenue mainly through app sales. Based on market research and competition analysis, we estimate the average selling price per download at $4.99. Assuming gradual adoption, we expect 100,000 downloads in the first year and an annual growth rate of 20% thereafter. To further profit through the app, we plan to offer in-app purchases. We expect the average revenue per user to be $2 per month, and we expect the user base to reach 150,000 by the second year, at a rate of 15% growth per year.

Make a detailed analysis and prediction of the company's software development. (Use Monte Carlo method and analysis)