XYZ corp expects to earn $4 per share next year and plow back 37.5% of its earnings (i. e., it expects to pay out a dividend of $2.5 per share, representing 62.5% of its earnings). The dividends are expected to grow at a constant sustainable growth rate and the stocks are currently priced at $30 per share. How much of the stock's $30 price is reflected in Present Value of Growth Opportunities (PVGO) if the investors' required rate of return is 20%

Suppose that hubert, an economist from an am talk radio program, and kate, an economist from a nonprofit organization on the west coast, are arguing over government bailouts. the following dialogue shows an excerpt from their debate: kate: to recent financial crises, the concept of bailouts is a hot topic for debate among everyone these days. hubert: indeed, it’s gotten crazy! a government bailout of severely distressed financial firms is unnecessary because free markets will properly price assets. kate: i don’t know about that. without a bailout of severely distressed financial firms, the economy will experience a deep recession. the disagreement between these economists is most likely due todifferences in scientific judgments . despite their differences, with which proposition are two economists chosen at random most likely to agree? business managers can raise profit more easily by reducing costs than by raising revenue. central banks should focus more on maintaining low unemployment than on maintaining low inflation. employers should not be restricted from outsourcing work to foreign nations

Examine the following book-value balance sheet for university products inc. the preferred stock currently sells for $30 per share and pays a dividend of $3 a share. the common stock sells for $16 per share and has a beta of 0.9. there are 2 million common shares outstanding. the market risk premium is 9%, the risk-free rate is 5%, and the firm’s tax rate is 40%. book-value balance sheet (figures in $ millions) assets liabilities and net worth cash and short-term securities $ 2.0 bonds, coupon = 6%, paid annually (maturity = 10 years, current yield to maturity = 8%) $ 5.0 accounts receivable 3.0 preferred stock (par value $15 per share) 3.0 inventories 7.0 common stock (par value $0.20) 0.4 plant and equipment 21.0 additional paid-in stockholders’ equity 13.6 retained earnings 11.0 total $ 33.0 total $ 33.0 a. what is the market debt-to-value ratio of the firm? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places.) b. what is university’s wacc? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places.)

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.