A European call and a european put on a stock have the same strike price and time to maturity. At 10:00 am on a certain day, the price of the call is $3 and the price of the put is $4 . At 10:01 am news reaches the market that has no effect on the stock price or interest rates, but increases volatilities. As a result the price of the call changes to $3.5?

Which of the following is correct and show your calculations:

a. The put price increases to 4.5
b. The put price decreases to 3.5
c. The put price increases to 5.5
d. it is possible that there is no effect on the put price

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Mikkelson corporation's stock had a required return of 12.50% last year, when the risk-free rate was 3% and the market risk premium was 4.75%. then an increase in investor risk aversion caused the market risk premium to rise by 2%. the risk-free rate and the firm's beta remain unchanged. what is the company's new required rate of return? (hint: first calculate the beta, then find the required return.) do not round your intermediate calculations.

Braden’s ice cream shop is losing business. he knows that customers are no longer choosing his product because a competing product has become less expensive, yet he has refused to lower his prices. what has happened to braden’s business?