$1.$ Present the first $3$ months of an amortization schedule for a $$275,000,30-$year, $5\mathrm{.}67\%$ monthly payment mortgage.

$2.$ Consider a house in Baton Rouge that is expected to sell for $$367,000$ with a $6\%$ brokerage commission. Assume $(1)$ the listing broker $($LB$)$ pays $60\%$ of the commission to the selling broker $($SB$),(2)$ the listing broker pays $90\%$ to his listing agent $($LA$),$ and $(3.)$ the selling broker pays $75\%$ to her selling agent $($SA$).$ How much commission does each person receive?

$3.$ Using the Sales Comparison Approach of appraisal, if the subject has an effective age of $7$ years and the comparable has an effective age of $5\mathrm{.}5$ years, what adjustment should be made if each year of effective age reduces the value of properties in this market by about $$4,000?[$Note: Make sure to provide the amount as well as the direction of the adjustment.$]$

$4.$ Assume a retired elderly person $($Victim V$)$ living alone on a small income has a $$100,000$ home with no debt. To help with various car repair, home repair, and medical bills that have accumulated, Happy$-$to$-$Help Lenders provides Victim V with $$25,000$ through an $8\%$ mortgage for $30$ years with $$2,000$ in fees rolled into the loan for a total payment of $$198\mathrm{.}12.$ If$,$ after $3$ years, Victim V borrows an additional $$10,000$ with $$1,500$ in additional fees, what is Victim V$$s new LTV $($assuming the house has not increased in value$).$

$5.$ Assume an appraiser has determined the following for an office building:

PGI $=$ $$179,400$; VC $=$ $$10,764$; OE $=$ $$70,827\mathrm{.}12$;

CAPX $=$ $$13,474\mathrm{.}02,$ DS $=$ $$59,218\mathrm{.}68,$ and TAX $=$ $$7,418\mathrm{.}78$

If cap rates are currently $$5\mathrm{.}4\%,$ what is the approximate value of the building using the income approach?