$1.)$ An investor just invested $$10,000$ in an investment that is expected to earn a $6\%$ interest rate.

Assuming the $6\%$ annual return is realized, what will be the value of the investment at the

end of $25$ years?

$2.)$ If you deposit $$45,000$ into a $5-$year CD today earning $4\%$ interest compounded quarterly,

what would be the account balance be at the end of $5$ years?

$3.)$ A $22-$year$-$old college student has been promised a $$1$ million check at this $50$th birthday $(28$

years from today$).$ What is the present value of the $$1$ million today assuming an interest rate

of $5\%?$

$4.)$ An investor has been offered an investment opportunity that will pay him $$25,000$ every year

for $10$ years, with the first payment coming one year from today. What is the present value of

the $10-$year annuity at an annual interest rate of $8\%?$

$5.)$ An investor$$s savings plan consists of investing $$1,000$ each month for the next $15$ years, with

the first $$1,000$ being invested one month from today. How much will the investor

accumulated at the end of $15$ years, assuming an annual interest rate of $6\%$ compounded

monthly?

$6.)$ An individual invests $$10,000$ today in an investment that is expected to be worth $$20,000$ in $6$

years. What exact annualized rate of return is the investor expecting to receive on the

investment?

$7.)$ A college graduate just bought a new house. The home was purchased with a $30-$year loan of

$$350,000$ with monthly payments at an interest rate of $4\%.$ What is the amount of the monthly

loan payment?

$8.)$ An investor is evaluating an investment that pays $$50,000$ for $3$ consecutive years and then

$$25,000$ in year $4.$ The first $$50,000$ payment comes one year from today. What is the present

value of the investment$$s cash flows at an interest rate of $10\%?$

$9.)$ An investor wants to double their portfolio value every $8$ years. According to the Rule of $72,$

what is the approximate annual rate of return the investor must earn on the portfolio to

achieve that goal?

$10.)$ An investor purchases one share of preferred stock of Citigroup. The share pays an annual

dividend of $$68\mathrm{.}00$ every year into perpetuity. Given an interest rate of $7\mathrm{.}0\%,$ what is the

value of the preferred share? $($Hint: Compute the present value of the future dividends$).$