Star, Inc., a prominent consumer products firm, is debating whether or not to convert its all-equity capital structure to one that is 40 percent debt. Currently, there are 2,000 shares outstanding and the price per share is $7. Its assets will be worth $21,500 in one year if the economy is strong, and $10,000 in one year if the economy is weak. Both events are equally likely. The interest rate on new debt is 8 percent, and there are no taxes.

a. What is the expected return of Star stock without leverage?

b. If Star converts to the capital structure that consists 40 percent debt today and uses the proceeds from issuing debt to repurchase shares of existing stock, what will be the market value of its equity after the repurchase? How many shares of stock can Start repurchase?

c. What is the expected return of Star stock after the transaction in part (b)?

Star, Inc., a prominent consumer products firm, is debating whether or not to convert its all-equity capital structure to one that is 40 percent debt. Currently, there are 2,000 shares outstanding and the price per share is $7. Its assets will be worth $21,500 in one year if the economy is strong, and $10,000 in one year if the economy is weak. Both events are equally likely. The interest rate on debt is 8 percent, and there are no taxes.

a. What is the expected return of Star stock without leverage?

b. If Star converts to the capital structure that consists 40 percent debt today and uses the proceeds from issuing debt to repurchase shares of existing stock, what will be the market value of its equity after the repurchase? How many shares of stock can Start repurchase?

c. What is the expected return of Star stock after the transaction in part (b)?

Expected Return: Discrete Distribution

A stock's return has the following distribution:

Calculate the stock's expected return. Round your answer to two decimal places.

  %

Calculate the standard deviation. Do not round intermediate calculations. Round your answer to two decimal places.

  %

10. A school administrator thinks that teacher absences are equally probable for each day of the week. A co-worker does not agree and gathers data from last year and reports the absences for the day of the week in this table: Monday (46) Tuesday (47) Wednesday (40 )Thursday (50) Friday (67) Test that the days of the week have an equal probability of absences at the 0.10 level of significance.

1. A 12.75-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 150.3 and modified duration of 11.81 years. A 30-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical duration—11.79 years—but considerably higher convexity of 231.2.

1. Suppose the yield to maturity on both bonds increases to 9%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration-with-convexity rule? Actual: -11.09%, -10.72%; duration with convexity: -11.06%, -10.63%)
2. Repeat part (a), but this time assume the yield to maturity decreases to 7%. (Actual: 12.59%, 13.04%; duration with convexity: 12.56%, 12.95%)
3. Compare the performance of the two bonds in the two scenarios, one involving an increase in rates, the other a decrease. Based on the comparative investment performance, explain the attraction of convexity.

please show in excel

witches »

HW-20: Arduino - Motor Speed.problem

Arduino - Measuring Motor Speed

Arduino sketch with corresponding line numbers per coding line.
Match line # 1 through #17 with the corresponding instruction purpose.
_____________________________________________________________________

1.   int count = 0;
     float f = 0;
     float PPR = 500;
     float RPM= 0;

2.   void setup()
3.      pinMode(2,INPUT);
4.      attachInterrupt(0,freq,RISING);
5.      Serial.begin(9600);

6.    void loop()
      {
7.      count=0;
8.      delay(100);
9.      f=10*count;
10.    RPM=f/PPR;
11.    Serial.print(count);
12.    Serial.print(" Pulses/100ms");
13.    Serial.print("\t");
14.    Serial.print(f);
15.    Serial.println(" Hz");
       }

16.   void freq()
        { 
17.      count=count++; 
        }

 1 2 3 4 5  Establish inputs and outputs 
 1 2 3 4 5  Declare Variables 
 1 2 3 4 5  Establish output communications with the monitor 
 1 2 3 4 5  Declare digital input pin 
 1 2 3 4 5  Establish interrupt digital input pin, name and mode 
 Tries 0/2
 6 7 8 9 10  Establish initial count value within the running program loop 
 6 7 8 9 10  Infinite loop - running program 
 6 7 8 9 10  Calculate revolutions per minute 
 6 7 8 9 10  Calculate freqency 
 6 7 8 9 10  Delay 100 ms while counting interrupt pulses 
 Tries 0/2
 11 12 13 14 15  Print text "Pulses/100ms" to monitor 
 11 12 13 14 15  Print count value to monitor 
 11 12 13 14 15  Print text " Hz" to monitor then line feed 
 11 12 13 14 15  Print frequency value to monitor 
 11 12 13 14 15  Print tab spacing to monitor 
 Tries 0/2
 16 17  Interrupt subroutine 
 16 17  Add one to the count which is accumulating the number of pulses in 100ms 
 Tries 0/2

The marketing division of Family FunTime Mini Golf is wanting to gather information about the spending habits of its visitors. It polls visitors as they leave and gathers information about the amount of money spent at the course. A sample with 40 families and the amounts they spent can be found in the Excel table I have provided below. Please answer all questions using complete sentences.

1. Using Excel’s PivotTable feature, organize the data into a frequency distribution, using 7 classes and 15 as the lower limit of the first class. Copy your table below. (You can do a straight copy/paste from Excel, it will transfer the table over.) What class interval did you need to select? Explain.

Please help me create the pivot table with instructions

This has to be a C program -

Here is a simplified set of rules that show how a dive is judged at a competition like the Olympics:

• Each different kind of dive is given a "degree of difficulty". The limits on degrees of difficulty keep changing as competitors perform increasingly difficult dives, but for this assignment the degree of difficulty of each dive must be between 1 and 5 inclusive.
• The number of judges varies with the event, but for this assignment there will be 8 judges.
• When a diver makes a dive, each judge gives a mark between 0 to 10 to describe how well the diver executed the dive.
• To compute the score for a dive, you take the marks from the judges and discard the highest two scores and lowest two scores. Add up the remaining four marks and multiply the sum by the degree of difficulty.

As an example, suppose a diver performs a dive with degree of difficulty 3.2 and the judges' marks were 7, 8, 5, 4, 9.5, 6.5, 9.5 and 8. The two lowest marks are 4 and 5 and the two highest marks are 9.5 and 9.5. The judges will add up the remaining four marks: 7+8+6.5+8=29.5 and multiply by 3.2 to get the diver's score: 94.4. An equivalent approach would be to add up all 8 of the scores and subtract the two lowest and two highest from the total before multiplying by the difficulty. Either way, please note that the marks may not be reported to the program in sorted order.

You must hand in a file called diving.c. It must be a complete C program, including a main function, which will prompt the user for information about a dive and compute the score for the dive. Specifically, the program must prompt the user for the degree of difficulty followed by 8 judge's marks and then print the score for the dive.

Have a look at the sample run shown below and duplicate the look of it as closely as possible.

Your program must contain at least three functions (a main function and at least two others). At least two functions other than main must have at least one parameter and must use their parameters in a non-trivial way. (In other words, just writing a message saying "my parameter is 3" does not count!)

At least two functions other than main must return a result and the function that calls each of them must use the result in a non-trivial way. (In other words, having function f call function g and then having f write a message saying "function g returned 13" does not count!)

Consider using #define statements to create meaningful symbols for following numbers:

• the minimum score that can be given for a dive (0)
• the maximum score that can be given for a dive (10)
• the minimum degree of difficulty (1)
• the maximum degree of difficulty (5)
• the number of dives per competitor (8)
• the number of judges (8)

Using symbols will make your code easier to read, and therefore easier to debug. It will also make your code easier to change. For example, if you ever wanted to modify the program for use at a diving competition with 10 judges instead of 8, you would just have to change one #define. You wouldn't have to look through your whole program to find 8s and read the code carefully to distinguish between 8s used to mean number of judges and 8s used to mean the number of dives per competitor.

Error Hnadling:

Your program must check for the following kinds of errors:

• A score that is less than 0 or greater than 10.
• A degree of difficulty that is less than 1 or greater than 5.

If either of these errors occur, your program must print an informative error message and use a default value instead (0 for a score and 1 for a degree of difficulty). "Informative", means an error that tells the user what was wrong – for example "Error: scores must be between 0 and 10" instead of just "Error". You may assume that user will enter only numeric values in answer to your program's prompts.

Two resistors 30 Ω and 50 Ω are connected in parallel and this parallel arrangement is then connected in series with two resistors 20 Ω each. The combination is placed across a 10V potential difference. Hence construct the diagram of the above circuit. According to your observation evaluate the total current in the circuit and also the total power delivered to the resistors and also show that the total power dissipated is equal to the sum of the power dissipated by individual resistor. Also, can you suggest the current through 30 Ω resistance?