Prompt: Consider the following scenarios and discuss how the time value of money affects the financial decisions in each case $1.$ Personal Investment : You are planning to buy a house in $5$ years and need to save for a down paymentIf you have an option to invest in a savings account that offers a compound interest rate of $4\%$ per annumhow should you plan your savings? Use the PV and FV formulas to support your strategy. $2.$ Corporate Decision: A company is considering two projectsone offers a return quickly within the next year, and the other yields higher retums but only after $5$ yearsHow should the company decide between these two projects using the discounting method? Retirement Planning: Discuss how the principles of compounding interest impact retirement planningConsider someone starts saving at the age of $30$ versus another who starts at $40.$ How does the time value of money influence the total savings by the age of $657$