The stock price is currently $55. It is known that at the end of six months it will be either $60 or $42. The risk-free rate of interest with continuous compounding is 12% per annum. Calculate the value of a six-month European call option on the stock with an exercise price of $48 in two ways: (1) construct a portfolio of shares and options and use the no-arbitrage argument (2) solve for the value of p. Verify that they give the same answers.

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

Suppose an economist believes that the price level in the economy is directly related to the money supply, or the amount of money circulating in the economy. the economist proposes the following relationship: p=a x m - p=price level - m=money supply - a=a composite of other factors, including real gdp, that change very slowly over time. how might an economist gather empirical data to test the proposed relationship between money and the price level? an economist would persuade the federal reserve to change the money supply to various levels, and observe the resulting changes in the price level. unlike researchers in the hard sciences, economists cannot study complex relationships using data. economists do not usually develop theoretical models of the economy but only analyze summary statistics about the current state of the economy. an economist would look for data on past changes in the money supply, and note the resulting changes in the price level

Concrete consulting co. has the following accounts in its ledger: cash; accounts receivable; supplies; office equipment; accounts payable; jason payne, capital; jason payne, drawing; fees earned; rent expense; advertising expense; utilities expense; miscellaneous expense. transactions oct. 1 paid rent for the month, $3,600. 3 paid advertising expense, $1,200. 5 paid cash for supplies, $750. 6 purchased office equipment on account, $8,000. 10 received cash from customers on account, $14,800. 15 paid creditors on account, $7,110. 27 paid cash for miscellaneous expenses, $400. 30 paid telephone bill (utility expense) for the month, $250. 31 fees earned and billed to customers for the month, $33,100. 31 paid electricity bill (utility expense) for the month, $1,050. 31 withdrew cash for personal use, $2,500. journalize the following selected transactions for october 2019 in a two-column journal. refer to the chart of accounts for exact wording of account titles