Assume that stock J is priced at 94 shares and pays a dividend of 0.7/ share. An investor the stock at margin 50% and borrowing the remainder from the broker at 10%.If after one year, the stock is sold at a price of $132 share, what is the return to the investment.

Q#2

a-

The probability that a doctor correctly diagnoses a particular illness is 0.7. Given that the doctor makes an incorrect diagnosis, the probability that the patient files a lawsuit is 0.9. What is the probability that the doctor makes an incorrect diagnosis and the patient sues?

b-

The probability that an automobile being filled with gasoline also needs an oil change is 0.25; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and the filter need changing is 0.14.(a) If the oil has to be changed, what is the probability that a new oil filter is needed?(b) If a new oil filter is needed, what is the probability that the oil has to be changed?

What is the experimental yield (in g of precipitate) when 17.6 mL of a 0.7 M solution of iron(III) chloride is combined with 17.4 mL of a 0.613 M solution of silver nitrate at a 81.2% yield?

What is the theoretical yield (in g of precipitate) when 18.4 mL of a 0.73 M solution of sodium phosphate is combined with 18 mL of a 0.695 M solution of aluminum chloride?

Firm X has a beta of 1.3 and a debt-to-equity ratio of 0.7 .
It has deb with a coupon of 8%, face value of $1,000 and yield-to-maturity of 12%. It has chosen firm P as a proxy company for a new project it is considering in a totally different line of business from its present one. Firm P has a beta of 1.6 and debt-to-equity ratio of 0.4 and a bond with yield-to-maturity of 10%, a coupon of 12% and face value of $1,000.
Both firms are in the 40 percent marginal tax bracket. The expected return on the S&P is 13% and the rate on 90-day Treasury bill is 3%.
Find the required return on the new project that Firm X is considering. Show all formulae, steps and calculations neatly and in the proper sequence.

Firm X has a beta of 1.3 and a debt-to-equity ratio of 0.7 .
It has deb with a coupon of 8%, face value of $1,000 and yield-to-maturity of 12%. It has chosen firm P as a proxy company for a new project it is considering in a totally different line of business from its present one. Firm P has a beta of 1.6 and debt-to-equity ratio of 0.4 and a bond with yield-to-maturity of 10%, a coupon of 12% and face value of $1,000.
Both firms are in the 40 percent marginal tax bracket. The expected return on the S&P is 13% and the rate on 90-day Treasury bill is 3%.
Find the required return on the new project that Firm X is considering. Show all formulae, steps and calculations neatly and in the proper sequence.

0.7 kg of ice at 0 ◦C and 3 kg of water at Ti are brought into thermal contact in an iso- lated container. All the ice melts, and the mixture reaches an equilibrium temperature of 10 ◦C.

(a) (5 points) Determine the initial temperature Ti of the liquid water.

(b) (1 point) Determine the entropy change ∆S_melt associated with this amount of ice melting.

(c) (3 points) Determine the entropy change ∆S_coolwater associated with the decreasing temperature of the water. (Hint: find an expression for dQ in terms of dT.)

(d) (2 points) Determine the entropy change ∆S_warmwater associated with the increasing temperature of the melted ice.

(e) (2 points) Determine the net entropy change associated with this thermal process. Explain whether your result obeys the Second Law of Thermodynamics.

The "reaction time" of the average automobile driver is about 0.7 s . An automobile can slow down with an acceleration of 11.4 ft/s2 . (a) Compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 14.4 mi/h . (b) Compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 55.2 mi/h .

Calculate exponential smoothing forecast for these data using an α of 0.7 and an initial forecast (F1) of 18 ), or Exponential Smoothing with Trend (use optimal α and δ,

The "reaction time" of the average automobile driver is about 0.7 s . (The reaction time is the interval between the perception of a signal to stop and the application of the brakes.) An automobile can slow down with an acceleration of 12.4 ft/s2 .

Part A

Compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 15.4 mi/h . (in a school zone)

Part B

Compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 56.0 mi/h .

GTA Construction Corporation constructed two buildings near the San Andreas fault line. The probability that either of these buildings will experience an earthquake is 4.6 percent. However, if one building experiences an earthquake, the probability that the second building will experience an earthquake is 57 percent. What is the probability (in percent) that both buildings will experience earthquake damage?

IMB Computing creates motherboards for cellphones at their campuses in Seattle and San Diego. The company is worried about computer hackers and hired a consultant to evaluate their risk. The consultant estimated that the San Diego campus has a 12.1 percent chance of being hacked. The consultant also noted that the Seattle location has a 24.4 percent chance of digital hacking. IMB would asks the consultant, what is the probability (in percent) that both campuses will suffer hacking related crime in any given year?

Hishiba Company assembles hard drives and has plants in both the South and the North, spaced about 3,000 miles apart and connected by light rail. Hishiba is worried about local rain causing flooding at their plants. The probability that in any given year a flood will damage the North plant 5.1 percent. The probability that in any given year a flood will damage the South plant is 13 percent. What is the probability (in percent) that at least one of the plants will be damaged by flood in any given year?