It is July 16. A company has a portfolio of stocks worth $100 million. The beta of the portfolio is 1.6. The company would like to use the CME December futures contract on the S&P 500 to change the beta of the portfolio to 0.3 during the period July 16 to November 16. The December S&P 500 index futures price is currently 1,000, and each contract is on $250 times the index.

(a) What position should the company take? How many December S&P 500 futures contracts should the company buy or sell now?

(b) Suppose that the company changes its mind and decides to increase the beta of the portfolio from 1.6 to 1.8. What position in futures contracts should it take? How many December S&P 500 futures contracts should the company buy or sell now?

A skilled volleyball player uses elbow motion (as well as shoulder motion) in a jump serve. With her shoulder positioned and maintained in flexion (about 100 degrees), a server initially starts the preparatory phase by flexing the elbow. At this time, the angular velocity of the elbow is 800 deg/s in flexion (positive) direction. As the server moves to strike the ball, the elbow undergoes extension, and immediately before the strike with the ball, the elbow’s angular velocity is 1500 deg/s in extension (negative direction). This change in angular velocity at the elbow joint occurs in 0.3 seconds. Which of the following statements is/are true about the angular acceleration of the elbow joint? Select statement(s) that is/are true. [1 pt.]

Group of answer choices

The elbow's angular acceleration is a positive value

The elbow's angular acceleration is a negative value

The elbow joint movement is speeding up

The elbow joint movement is slowing down

Question 5 Simple Calculation

Use the information in the following table to answer the question.

Note the fund started with 100 Net Asset Value at the start of 2012.

1. Given the above hedge fund manager’s performance, which year(s) would the manager get paid on their high water mark? (1.5 marks).

2. Calculate the rolling 3 years average returns and identify which year(s) the managers get paid the high water mark? (1.5 marks).

3. Explain why managers are paid the high water mark during the years identified above (1 mark).

this is only info I have

Question 4 a. Suppose that the annual interest rate is 1% and no dividend will be declared for the index constituent stocks in the coming quarter. The index is currently standing at 25,500.

i. Compute the index futures deliverable in exact 3 months.

ii. Suppose now the dividend yield of the index constituent stocks is 0.3% rather than 0%. Without doing any calculation, explain whether the index futures price is higher or lower than your answer in part (i).

b. A silver futures contract requires the seller to deliver 5,000 Troy ounces of silver. Henry sells four July silver futures contract at a price of $16 per ounce. The initial margin is $6,000 per contract and the maintenance margin is $2,500 per contract. What is the futures price per ounce at which Henry would receive a margin call?

Linda is a sales associate at a large auto dealership. At her commission rate of 25% of gross profit on each vehicle she sells, Linda expects to earn 360 for each car sold and 410 for each truck or SUV sold. Linda motivates herself by using probability estimates of her sales. For a sunny Saturday in April, she estimates her car sales as follows:

Linda's estimate of her truck or SUV sales is

Calculate:

5. Lindas best estimate of her earnings for the day.

6. the variance of the number of cars Linda sells for the day.

7. the variance of the number of trucks or SUVs Linda sells for the day.

8. the variance of Linda's earnings for the day.

Consider the following numerical example using the Solow growth model. Suppose that

F(K,N) = K^(4/13)N^(9/13) , Y = zF(K,N):

Furthermore, assume that the capital depreciation rate is d = 0.04, the savings rate is s = 0.3,

the population growth rate is n = 0.035, and the productivity is z = 1.75. Suppose K0 = 200 and

N0 = 100.

Question 1: Find the steady state per-capita capital stock (k*), output per capita (y*), and consumption

per capita (c*).

Question 2: Assume the economy is in the steady state of Question 1 and n goes down by 5% while

z increases by 5% and s increases by 5%. Using the Taylor approximation, evaluate the

contribution of each variable to the total change in the steady state consumption c*.

8. Pepcico Inc. has a beta of 0.59. The risk-free rate is 2% and the market risk premium is 8%. What is the required rate of return of Pepcico? Round to the nearset hundredth percent. Answer in the percent format. Do not include % sign in your answer (i.e. If your answer is 4.33%, type 4.33 without a % sign at the end.)

7.

You are composing a two-stock portfolio consisting of 40 percent Stock X and 60 percent Stock Y. Given the following information, find the standard deviation of this portfolio.

Round to the nearset hundredth percent. Answer in the percent format. Do not include % sign in your answer (i.e. If your answer is 4.33%, type 4.33 without a % sign at the end.)

Can someone show me the R code to accomplish this?
In R, Construct scatter plots of y versus x, y versus ln(x), ln(y) versus ln(x) and 1/y versus 1/x. Include your R code in a separate file.

The article “Reduction in Soluble Protein and Chlorophyll Contents in a Few Plants as Indicators of Automobile Exhaust Pollution” (Intl. J. of Environ. Studies, 1983: 239-244) reported the accompanying data on x distance from a highway (meters) and y lead content of soil at that distance (enumerate per million, or ppm):

x: 0.3 1 5 10 15 20 25 30 40 50 75 100
y: 62.75 37.15 29.70 20.71 17.65 15.41 14.15 13.50 12.11 11.40 10.85 10.85

You have received a year-end bonus of $5000. You decide to invest the money in the stock market and have narrowed down your options to two mutual funds. This data represent the historical quarterly rates of return for each mutual fund for the last five years. Describe each data set using words related to shape, center, and spread. Which mutual fund would you choose to invest in, and why?

1. An expensive watch is powered by a​ 3-volt lithium battery expected to last

five years. Suppose the life of the battery has a standard deviation of 0.3 year and is normally distributed.

a. Determine the probability that the​ watch's battery will last longer than 5.4 years.

b. Calculate the probability that the​ watch's battery will last more than 4.45 years.

c. Compute the​ length-of-life value for which 15​% of the​ watch's batteries last longer.

2. Doggie Nuggets Inc.​ (DNI) sells large bags of dog food to warehouse clubs. DNI uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of 56 kilograms and a standard deviation of 0.86 kilograms. Complete parts a through d below.

a. What is the probability that a filled bag will weigh less than 55.2 kilograms?