Show your work. Do not just write down the final answers. I suggest that you use formulas to solve the problems, If you want to use a financial calculator, you may want to use it to double check the answer.

For all problemis, ignore taxes and transaction costs:

If you invest $$100,000$ into an account that earns $8$ percent annual retum, how much will you have in the account in $20$ years?

If you owe $$150,000$ at the end of $15$ years, how much should your creditor accept in payment immediately if she could earn $7$ percent annual return on her money?

At an interest rate of $8$ percent annually how long will it take for a sum to triple?

You have just invested $$60,000$ for vour son $($age one$).$ The money will be used for your son's education $17$ years from now. You estimate that you will need $$250,000$ for your son's education by the time the boy goes to school. What rate of return will you need to achieve this goal?

A company has an unfunded pension liability of $$1,500$ million that must be paid in $30$ years. To assess the value of the firm's stock, financial analysts want to discount this liability back to the present. If the relevant annual rate of retum is $7,5$ percent, what is the present value of this liability?

An investment is expected to provide the following cash flows. If the annual rate of return on the investment is $7$ percent, what is the present value of these cash flows? The cash flows occur at the end of the year.

$\backslash$table$[[$Year$,$Cash flow$],[1,$$$30,000$