For example, suppose the seller agrees to receive a fixed annual payment from Royalty Pharma for three years instead of 3% royalty on net sales over the course of 9 years. Assuming net sales of $1 billion per year, and a discount rate of 10%, what is the minimum acceptable fixed annual payment for this three-year agreement? Assume all cash flows including royalties occur at the end of the year so the first payment is made in exactly 1 year. (Note: Your answer should be expressed in units of millions of dollars.)

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Suppose you hold a portfolio consisting of a $10,000 investment in each of 8 different common stocks. the portfolio's beta is 1.25. now suppose you decided to sell one of your stocks that has a beta of 1.00 and to use the proceeds to buy a replacement stock with a beta of 1.55. what would the portfolio's new beta be? do not round your intermediate calculations.

Because this market is a monopolistically competitive market, you can tell that it is in long-run equilibrium by the fact thatmr=mc at the optimal quantity for each firm. furthermore, a monopolistically competitive firm's average total cost in long-run equilibrium isless than the minimum average total cost. true or false: this indicates that there is a markup on marginal cost in the market for engines. true false monopolistic competition may also be socially inefficient because there are too many or too few firms in the market. the presence of the externality implies that there is too little entry of new firms in the market.