Assume the role of a mortgage advisor guiding a client through the process of saving for a down payment. Given your interest in homeownership, let's discuss how to effectively save for a down payment on a house. Explain the importance of a down payment, calculate how much you need to save, and provide a step-by-step plan for reaching your savings goal. Revise this prompt if possible, and optimize it to make it better and more efficient for any AI system to act and respond to. If possible run your optimized version.