Singer inc. is about to start a 4-year project. A new plant will be built. The plant will require an amount of $40 million to acquire new fixed assets that will be depreciated straight-line through the life of the project. The company also possesses a building that it bought for $5 million and has a net book value of 0. Today's market value for the building is $4.1 million, while it can be rented for $220,000 yearly. The company wants to situate its new plant in this building. The following are today's market data for Singer (that is before the project starts):

?Debt: $240,000,000. Interest rate: 7.5%. The debt amount is kept constant.

?Common stocks: 9,500,000 shares outstanding. Stock price: $63.

?The levered equity Beta is 1.2. Market: 8% expected market risk premium, 5% risk free rate. JP Simon Bank charges Singer $1,040,000 as an underwriter fee on new common stock issues (i.e. the cost of helping Singer issue stocks). Singer will raise the funds needed for the project by only issuing stocks. The corporate tax rate is 35%. The project will be managed in total separation from the other operations of the ?firms.

(a) Calculate the new project's initial (time 0) cash ?flow.

(b) The new project has a risk pro?le comparable with the riskiness of its assets in place. What is the appropriate opportunity cost of capital for the project? The company will incur $4,000,000 in annual administrative costs. The plant will manufacture 20,000 widgets per year and sell them for $6,900 each. The unit production cost is $5,400.

(c) What is the annual after-tax cash ?ow from the new project at the end of each of the four years of its life?

(d) Assuming that the depreciation tax shield is as risky as the company's debt, what is the project's NPV?

9.    Bo was the owner of Lot No. 1 on which he had built his home. Sadia owned the adjoining Lots No. 2 and 3, which were undeveloped, along with Lot No. 4 on which Sadia’s home was located. Bo wished to acquire Lot No. 2 in order to protect his home site from crowding if Lot No. 2 should be sold to a stranger.
Meeting Sadia on the street on January 2, Bo explained his wish to acquire Lot No. 2 and offered to buy it from Sadia for $75,000 cash. Sadia agreed and promised to deliver a deed to Lot No. 2 in 4 weeks. Bo paid Sadia $1,000 as a deposit or down payment towards the purchase price of $75.000.
On February 1, Sadia told Bo that she had changed her mind. Bo demands that Sadia perform the contract. Sadia contends that if there is any contract, it is unenforceable.
(a) [Skip part (a). We will discuss in class].
(b) In an action by Bo against Sadia for breach of contract, judgment for whom? Explain.
   [Skip parts (c) and (d). We will discuss in class.]   
(e) Assume that in addition to the [$1,000] payment, Bo, with Sadia’s knowledge and consent, entered on Lot No. 2 and had it cleared of brush on January 20 at a cost of $150, but Sadia still refused to convey. Would Bo be entitled to obtain a decree of specific performance to compel Sadia to deliver a deed to Lot No. 2 to Bo upon paying to Sadia the balance of $74,000? Explain. [We will discuss a “decree of specific performance” in class. You may assume that it means a “judgment.”]
[Skip parts (f) and (g).]

10.     Assume that in the preceding problem Sadia had sent to Bo a receipt for the $1,000 reading as follows:
“January 11. Received from Bo $1,000 on account of $75,000 purchase price of Lot No. 2 at 27 Y Street, Albans, NY Closing in 4 weeks. (Signed) Sadia.”
(a) Would Bo be entitled to a decree of specific performance against Sadia? Explain.   
(b) Assume that Sadia is willing to perform, but that Bo refuses. Would Sadia be entitled to damages against Bo? Explain.

In the Mercantile Model, the second stage is characterized by:

A. settlers built large urban areas in new inland towns

B. explorers start looking for possible new territories and gathering information

C. settlers developing complex transportation links with integrated urban systems

D. settlers harvesting natural resources in the new territory such as timbers and furs

A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random sample of six houses from each neighborhood and finds their ages from local records. The accompanying table shows the data for each sample​ (in years). Assume that the data come from a distribution that is Normally distributed. Complete parts a through c below.

​a) Find a 95% confidence interval for the mean​ difference, μ1−μ2​, in ages of houses in the two neighborhoods

b) Is 0 within the confidence interval

c) What does the confidence interval suggest about the null hypothesis that the mean difference is 0?

Air density is sea level conditions (.002377 slugs/f^t3)

w(weight) of the SS Delphine + trailer + Redeye = 3,922,000 + 150,000 + 4451 Lbs

Crr = coefficient of rolling resistance = .015

Assume Combined CDA is 1555 ft^2

SAE J2807 (Davis Dam Grande Climb) - min speed is 40mpg (59 ft/s)

F(drag) = 1/2p x V^2 x C(d)A

F(rolling resistance) = W x cos x Crr

F(weight) = W x sin

F(sum) = F(drag) + F(rr) + F(weight)

P = F(sum)XV

convert to horsepower = P(1hp/550ft lbf/sec)

A circular circuit of radius 30 cm is built to rotate about a

pair of insulating posts. The circuit consists of a 100 volt

battery, two 25 kW resistors in parallel and one 75 kW

resistor in series. The circuit is exposed to an external uniform magnetic field

of magnitude 0.75 Tesla and directed 20 degrees from the

normal vector of the circuit and the axis of rotation.

Calculate the total torque (magnitude and direction) on the

circuit

Calculate the component of the torque on the circuit

(magnitude and direction) at point A (exactly ¼ of the way

around the loop)

Calculate the component of the torque on the circuit

(magnitude and direction) at point B (exactly 7/8 of the way

around the loop)

1. A fund is built with annual deposits increasing by 1 from 1 to 10 and then decreasing by 1 to $0 at an annual effective interest rate of 5%. At the end of 19 years, the fund is used to purchase a 8-year annuity with level payment $X at an annual effective interest rate of 3% with the first payment 20 years from today.

Calculate X

2. Annie wants to accumulate $60500 in a fund at the end of 20 years. She plans to deposit $800+tX at the end of year t (t = 1,2,...,10) and $1500 at the end of last 10 years. The fund earns an annual effective interest rate of 6%.

Calculate X

Please show all work and do not use excel, thanks!

1. The built-in data “trees” provide the measurements of diameter (Girth), height and volume of trees. These are in inches for Girth, feet for Height and cubic feet for Volume. We will focus on Girth and Height. Write a function convert() that converts the values into the metric system (meters). Your function should take as arguments the value to convert and the unit it was expressed in (inches or feet) (use the following: x inches = x*0.0254 meters, x feet = x*0.3048 meters). If the first argument is not numeric or if the second argument is not “inch” or “feet”, use stop() function with an error message. Here is how it should work:

> convert(8.3,"inches")

[1] 0.21082

> convert(8.3,"feet")

[1] 2.52984

> convert(8.3,"foot")

Error in convert(8.3, "foot") : the unit was not "inches" or "feet"

Use your function to convert the values of Girth and Height to meters. Using cor.test() function, calculate the correlation (and the corresponding p-value) between Girth and Height in meters.

1. The Coase theorem is built on certain assumptions that, if violated, implies that private bargaining may not always achieve an efficient outcome. Give two cases where we cannot expect private bargaining to deliver an efficient outcome, where each case represents a violation of a different underlying assumption. Briefly explain your answers.

Mark Burnett and Kamran Pourgol were the only shareholders in a corporation that built and sold a house. When the buyers discovered that the house exceeded the amount of square footage allowed by the building permit, Pourgol agreed to renovate the house to conform to the permit. No work was done, however, and Burnett filed a suit against Pourgol. Burnett claimed that, without his knowledge, Pourgol had submitted incorrect plans to obtain the building permit, misrepresented the extent of the renovation, and failed to fix the house. Was Pourgol guilty of misconduct? If so, how might it have been avoided? Discuss.

1) Burnett is a (memeber, partner, or shareholder) in the corporation.

2) Pourgol held a (majority, minority, unclear) amount of shares in the close corporation.

3) Assume that Pourgol and Burnett agreed to the plans submitted to the town and Burnett and was made aware beforehand of the promise to fix the buyer's home. Would Pourgol most likely be held liable in this instance? (yes, no)

4) Would the buyers still be able to recover the costs of renovation to conform the house allowed by the building permit? (yes, no)