$[$Q#:$1$ & $2]$ Amelia will attend college at the end of $5$ years from now. The $4-$years of college studies will cost $$50,000$ a year. The yearly college bills are payable at the beginning of each year. Amelia opened a savings account that pays $6\mathrm{.}0\%$ per year interest.

How much money should Amelia have at the end of the $5^{th}$ year to pay for her four years of college expenses? Amelia will not be depositing any more money after the $5^{th}$ year when she starts college.

How much should Amelia deposit for the next five years at the end of each year to accumulate enough money?

$Q$#:$3,4,5$ Four years ago, James, Inc. issued a bond with a par value $=$$$1,000,$ Coupon rate $=7\mathrm{.}0\%$ per annum, payable every six months, and a maturity of $10$ years. The YTM of similar bonds today is $10\mathrm{.}0\%.$ Johnny bought James Bond for $$1,050$ when it was initially issued four years ago.

What is the price of James Bond today?

If he holds on to James Bond until it matures, what ANNUALIZED rate of return will he earn?

If Johnny decides to sell James Bond today, what ANNUALIZED rate of return would he earn?

$[$Q #: $6,7,8$ The following bonds $($ Par Value $=$$$1,000)$ are available for purchase right now:

$\backslash$table$[[$N$$me$,$Maturity,Coupon$],[$Bonnie$,15$ years,$9\%$