On the first day of school, the school store had 100 pencils for sale at $1 each. at the end of the week, there were 90 pencils left. the second week, the price of pencils dropped to $.75 each. at the end of the week, there were 75 pencils left. the store dropped the price $.25 each week, and at the end of the fourth week, there were no pencils left. which price was the market clearing price?

ernst's electrical has a bond issue outstanding with ten years to maturity. these bonds have a $1,000 face value, a 5 percent coupon, and pay interest semiminusannually. the bonds are currently quoted at 96 percent of face value. what is ernst's pretax cost of debt?

Your mother's well-diversified portfolio has an expected return of 12.0% and a beta of 1.20. she is in the process of buying 100 shares of safety corp. at $10 a share and adding it to her portfolio. safety has an expected return of 15.0% and a beta of 2.00. the total value of your current portfolio is $9,000. what will the expected return and beta on the portfolio be after the purchase of the safety stock?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.