P$2\mathrm{.}13$ Marlene Bellamy purchased $300$ shares of Writeline Communications stock at $$55$ per

share using the prevailing minimum initial margin requirement of $50\%.$ She held the stock for

exactly $4$ months and sold it without brokerage costs at the end of that period. During the

$4-$month holding period, the stock paid $$1\mathrm{.}50$ per share in cash dividends. Marlene was charged

$9\%$ annual interest on the margin loan. The minimum maintenance margin was $25\%.$

a$.$ Calculate the initial value of the transaction, the debit balance, and the equity position

on Marlene's transaction.

b$.$ For each of the following share prices, calculate the actual margin percentage, and

indicate whether Marlene's margin account would have excess equity, would be

restricted, or would be subject to a margin call.

$1.$ $$45$

$2.$ $$70$

$3.$ $$35$

c$.$ Calculate the dollar amount of $(1)$ dividends received and $(2)$ interest paid on the

margin loan during the $4-$month holding period.

d$.$ Use each of the following sale prices at the end of the $4-$month holding period to calculate

Marlene's annualized rate of return on the Writeline Communications stock transaction.

$1.$ $$50$

$2.$ $$60$

$3.$ $$70$