You are deciding between two mutually exclusive investment opportunities. both require the same initial investment of $ 10.1 million. investment a will generate $ 1.97 million per year (starting at the end of the first year) in perpetuity. investment b will generate $ 1.58 million at the end of the first year, and its revenues will grow at 2.9 % per year for every year after that.

a. which investment has the higher irr?

b. which investment has the higher npv when the cost of capital is 5.2 %?

c. in this case, for what values of the cost of capital does picking the higher irr give the correct answer as to which investment is the best opportunity?

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

Evan company reports net income of $232,000 each year and declares an annual cash dividend of $100,000. the company holds net assets of $2,130,000 on january 1, 2017. on that date, shalina purchases 40 percent of evan's outstanding common stock for $1,066,000, which gives it the ability to significantly influence evan. at the purchase date, the excess of shalina’s cost over its proportionate share of evan’s book value was assigned to goodwill. on december 31, 2019, what is the investment in evan company balance (equity method) in shalina’s financial records?

On september 1, 2016, steve loaned brett $2,000 at 12% interest compounded annually. steve is not in the business of lending money. the note stated that principal and interest would be due on august 31, 2018. in 2018, steve received $2,508.80 ($2,000 principal and $508.80 interest). steve uses the cash method of accounting. what amount must steve include in income on his income tax return?