Consider the same bond in the last question. What would the price of this bond be one year later if interest rate at that time is $3\mathrm{.}75\%?$

How much could the same investment in the question above be sold for at the end of the fourth year if interest rate is $4\mathrm{.}5\%$ at that time?

Consider a $4-$year auto loan of $$100,000$ at $6\%$ APR. This loan requires $4$ equal annual payments, with the first payment due at the end of the first year.

a$.$ Show that the annual payment is $$28,859\mathrm{.}15.$

$(5$ marks$)$

Note: You need to show all the steps how the answer is obtained.

b$.$ Complete the table below.

$(5$ marks$)$

$\backslash$table$[[$Year$,$Beginning Bal.,Annual Payment,Interest Paid,Principal Paid,Ending Bal.$],[1,$$$100,000\mathrm{.}00,$$$28,859\mathrm{.}15,,,],[2,,$$$28,859\mathrm{.}15,,,],[3,,$$$28,859\mathrm{.}15,,,],[4,,$$$28,859\mathrm{.}15,,,0\mathrm{.}00]]$

Consider the same auto loan in the question above but requires monthly payments.

a$.$ How much is the monthly payment?

$(5$ marks$)$

b$.$ What is the effective annual rate $($EAR$)$ of this loan?

$(5$ marks$)$

Consider a $8-$year, $$1,000$ par, $4\mathrm{.}5\%$ bond that pays semi$-$annual coupons. What is the price of this bond if it has a yield to maturity $($YTM$)$ of $5\%?$

Consider a $6-$year zero$-$coupon bond with a par value of $$1,000$ selling for $$813\mathrm{.}501.$ What is the yield to maturity $($YTM$)$ of this bond?

Consider the same bond in the last question. What would the price of this bond be one year later if interest rate at that time is $3\mathrm{.}75\%?$