Problem:
You've been saving up for a new car that you think costs $25,000. You already have $10,000 and you think that, with interest and additional savings, the $10,000 will grow to $20,000 in three years. Suddenly, the phone rings and a voice at the other end of the line tell you that you've won $5,000. You have the choice of collecting the $5,000 immediately, or collecting it in three years which will give you enough money to buy the car. What would you do? Assume that the price of the car stays constant over the three years and that available interest for bank savings is 3%.
Please explain in detail and show all work.