Shopping for a new car right after college, you are comparing car H, and car F. Suppose you strictly prefer a "cheaper" car. Car H costs $25,000 upfront (year 0) and requires an annual maintenance and gas cost of $2,000 per year. Car H has a reputation for being reliable and can last 15 years; at the end of year 15, you can trade-in car H for $5,000. • Car F costs $21,000 upfront and requires a yearly maintenance and gas cost of $2,250 per year. Car F is fun to drive, but it can only last ten years; at the end of year 10, you can trade-in car H for $3,000. 1. Assume you are using an annual discount rate of 5%. What's the total cost, in terms of the present value, of owning car H and car F, respectively? Which car is cheaper to own on a per-year basis? 2. Re-do the previous question by assuming a discount rate of 15%. Which car do you prefer now? Provide some intuition. 3. At what discount rate are you indifferent between car H and car L