Suppose you purchase $1,000$ shares of stock at $$80$ per share with

an initial cash investment of $$40,000.$ The call money rate is $5$

percent and you are charged a $1\mathrm{.}5$ percent premium over this rate.

Ignore dividends.a$.$ Calculate your return on investment one year later if the

share price is $$88.$ Suppose instead you had simply purchased

$$40,000$ of stock with no margin. What would your rate of return

have been now?b$.$Calculate your return on investment one

year later if the share price is $$80.$ Suppose instead you had

simply purchased $$40,000$ of stock with no margin. What would your

rate of return have been now?c$.$Calculate your return on investment one

year later if the share price is $$64.$ Suppose instead you had

simply purchased $$40,000$ of stock with no margin. What would your

rate of return have been now?