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 $$88.$ Suppose instead you had purchased $$40,000$ of stock

with no margin. What would your rate of return have been now?

Note: Do not round intermediate calculations. Enter your answers as a percent rounded to $2$ decimal places.

b$.$ Calculate your return on investment one year later if the share price is $$80.$ Suppose instead you had purchased $$40,000$ of stock

with no margin. What would your rate of return have been now?

Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a

percent rounded to $2$ decimal places.

c$.$ Calculate your return on investment one year later if the share price is $$64.$ Suppose instead you had purchased $$40,000$ of stock

with no margin. What would your rate of return have been now?

Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a

percent rounded to $2$ decimal places.