Show all your work (use of formula, etc.) in solving the problems. You still need to show your work even if you use the financial calculator to get the answers.

5. Rizzi Co. is growing quickly. The company just paid a $1.6 per share dividend and dividends are expected to grow at a 25%, 15% and 10% rate respectively for the next three years, with the growth rate falling off to a constant 6 percent thereafter. If the required return is 11 percent, what is the current share price?

9. a) You are an angel investor and you invested in a series of startups in the FinTech space. Two of your portfolio companies appear to have exactly the same target market. What would you advise?

b) One of your portfolio startups is not meeting its growth targets and is falling behind the expected month-on-month customer growth rate. Your investment is conditional on meeting growth targets and the quarterly tranches tied to these targets. The startup is also facing cash flow issues. What do you do?

A. Explain what external and internal economies of scale are and why the supply curve in their case is shaped as “forward-falling”. B. What may cause one country to have an initial advantage from having a lower price? Discuss and give an example. C. Define what increasing returns to scale represents in the context of a production function. D. Can trade hurt a country when there are external economies of scale? Give an example with a 2-country 2-good model and illustrate in a graph to prove your point.

The mass of the moon is 7.34 × 1022 kg, and its radius is about 1.74 × 106 m

(a) What is the value of “gmoon”, that is, the acceleration of gravity for a falling object near the surface of the moon?

(b) What is the escape speed (from the moon) for an object on the surface of the moon?

(c) What is the escape speed from the earth for an object that is as far from the earth as the orbit of the moon?

(d) At some point between the earth and the moon, an object would be pulled with equal strength towards both bodies. How far from the earth is that point?

In The Flaw of Averages, Sam Savage makes the claim that uncertainty is the nature of the Universe, but risk is in the "eye of the beholder." He uses the example of uncertainty as the chance that a particular stock will rise or fall on the next day and states that he is risk-free from falling stock price if he has sold the stock short. The only risk he experiences is if the stock goes up.

Do you agree or disagree with this definition of risk? Why or why not? Please justify and provide an example of another situation that backs up your perspective.

An eagle is flying horizontally at the altitude of 400 ft with a velocity of 16 ft/s when it drops a dead prey. A frog jumps 2 seconds later at a site facing away from the eagle and 60 ft from the point beneath the original position of the bird. If the frog catches the falling prey at the height of 144 ft, determine the initial speed and angle of inclination of the frog. Please use an advanced math way using vector-valued functions to solve it (Calculus 3).
A note: h = 400 , b = 144 , a = 60

A 1.1 kg mass is held at rest on top of a frictionless and horizontal table. A light string loops over a pulley which is in the shape of a 10 cm radius solid disk which has a mass of 1.1 kg. The light string then supports a mass of 1.1 kg which is hanging in air.

The mass on the table is released and the suspended mass falls. What is the acceleration of the falling mass.

What is the tension in the string which is attached to the sliding mass on the table?

What is the tension of the string which supports the hanging mass?

Given that Xerox developed the concept of competitive benchmarking in the early 1980s and it is still around today, it appears that the concept is here to stay. It is especially useful to companies which are falling behind others in the industry. Xerox developed the concept when management realized that Japanese companies were slowly taking over the copier market by making and selling products superior to those of Xerox at a cheaper price. Since this is a situation which is bound to affect various companies in the future, benchmarking is bound to be increasingly adopted. Do you agree?

9. a) You are an angel investor and you invested in a series of startups in the FinTech space. Two of your portfolio companies appear to have exactly the same target market. What would you advise?

b) One of your portfolio startups is not meeting its growth targets and is falling behind the expected month-on-month customer growth rate. Your investment is conditional on meeting growth targets and the quarterly tranches tied to these targets. The startup is also facing cash flow issues. What do you do?