$1)$Tony Altobelli is a senior finance major at George Mason University. Tony has been very conscientious and studious during his four years, and likely has a bright future. Three years from today when Tony is $25$ years old, he plans to begin depositing money into a retirement account $($so as to ensure a safe and secure financial future when Tony becomes a senior citizen$).$ Tony plans to retire at age $60.$Tony expects that three years from today, his salary will be $$58,000$ per year, and that it will grow by $6\%$ per year during his career. Tony will deposit $10\%$ of his salary each year $($first deposit three years from today, second deposit four years from today, etc., with the last deposit at age $60$ when Tony retires$)$ into a retirement account earning $8\%$ per year, compounded quarterly. How much money will Tony have in his retirement account at age $60,$ just after the last deposit at age $60?$

$2)$ The Z$-$Matic Corporation has an $8\mathrm{.}6\%$ coupon bond on the market with exactly $10$ years remaining until maturity.The bond makes semi$-$annual coupon payments and currently sells for $106\%$ of par.a$)$ What is the current yield for this bond?b$)$ What is the yield to maturity for this bond?You are also considering the purchase of a zero coupon bond that matures in $30$ years. This bond has a par value of $$1,000.$ If the required return on this bond is the same as the required return for the bond, above, at what price should this zero coupon bond sell today?

$3)$ a$)$What is the price today of a stock that just paid a dividend $($at t$=0)$ of $$1\mathrm{.}00$ per share if the dividend is expectedto grow by $15\%$ for the next two years $($t $=1$ and $2)$ and then by $4\%$ per year, thereafter. Assume r$=12\%$ per year$($compounded annually$).$b$)$ At what price should the stock sell two years from today $($just the instant before the t$=2$ dividend$)?$

$4)$ On January $1,2016,$ Susan Hsieh bought a motorcycle for $$22,000.$ She paid $$1,000$ down, and financed the balance $($$$21,000)$ with a five$-$year $(60$ month$)$ loan carrying an interest rate of $6\%$ per year, compounded monthly. The first monthly loan payment was due February $1,2016.$a$)$bWhat was the monthly payment for this $60$ month loan?On April $1,2016,$ Susan decided to sell her motorcycle $($the instant after making the $3$rd loan payment that was due on that day$).$ Assuming no prepayment penalty, what amount is needed to pay off the remaining balance of the loan?