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?