$1.$You were in an auto accident and are due $$50,000$ from the insurance company for the other person that hit you. They are going to pay you this amount in $5$ years. What is the value of that money today if you could invest your money at $7\%($assume annual compounding$).$

$2.$You are earning $$5,000$ per month $($$$60,000$ per year$)$ and putting away $10\%$ of your salary every month into a combination of bond and stock funds earning $9\%$ per year. You start when you$$re $25$ and continue for $30$ years. How much will be in your account after $30$ years?

$3.$For those of you who own real estate...You have an outstanding loan on your house of $$225,000$ with an interest rate of $6\%.$ How long in months would it take you to payoff the loan if you were making payments of $$1,500$ per month? How about if you upped your payments to $$2,000$ per month?

$4.$You are motivated by the FIRE $($Financial Independence Retire Early$)$ community and want to have $$1,000,000$ saved in $10$ years. How much will you have to put in every month $($compound monthly$)$ in order to get there assuming you can earn $9\%$ on your money?

$5.$You$$re visiting a Nissan dealer and the car salesperson asks you what kind of monthly payment you$$re looking for. You fall for it and say $$400$ per month maximum. They bring you over to a $2024$ Nissan Sentra and say here you go$.$ Assuming they finance you for $7$ years monthly compounding and charge you $10\%$ interest. Assume you put $$4,000$ down, what did you pay for the car?

$6.$You have won Powerball! A $$200$ Million jackpot. The lottery officials give you a choice. You can take $$10$ Million per year for $20$ years starting now $($year $0$ of $$10$ Million $+19$ additional payments over time$).$ Or take $$100$ Million today. Which is the better deal. Assume your opportunity cost $($the interest rate you could earn with the money$)$ is $6\%$ for a relatively safe investment. Which is the better deal?

$7.$you really want that new Jeep Wrangler Rubicon for $$60,000.$ Assuming you put $20\%$ down, what are your loan payments assuming you finance the car for $6$ years. The interest rate is $8\%$ for new car loans for people with good credit $.$ Because you have some blemishes on your credit, your interest rate is $18\%$ since you are considered "subprime".

What are the car payments for both scenarios?