Questions
T/f: The mean absolute deviation is more sensitive to large deviations than the mean square error....

T/f: The mean absolute deviation is more sensitive to large deviations than the mean square error.

T/f: A smoothing constant of 0.1 will cause an exponential smoothing forecast to react more quickly to a sudden change than a value of 0.3 will.

T/f:An advantage of the exponential smoothing forecasting method is that more recent experience is given more weight than less recent experience.

T/f: Linear regression can be used to approximate the relationship between independent and dependent variables.

T/f:"Forecasting techniques such as moving-average, exponential smoothing, and the last-value method all represent averaged values of time-series data."

T/f: The moving-average forecasting method is a very good one when conditions remain pretty much the same over the time period being considered.

In: Finance

Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A)....

Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3.

a.

What is the probability that you will receive a Merit scholarship? Hint: P(MA) = P(M) + P(A) – P(MB)

b.

Are events A and M mutually exclusive? Why or why not? Explain.

c.

Are the two events A, and M, independent? Explain, using probabilities.

d.

What is the probability of receiving the Athletic scholarship given that you have been awarded the Merit scholarship? Hint: P(A|M) = P(AM)/P(M)

e.

What is the probability of receiving the Merit scholarship given that you have been awarded the Athletic scholarship? Hint: P(M|A) = P(MA)/P(A)

In: Statistics and Probability

A horse race contains 8 horses. If you wished to bet on every possible top three...

  1. A horse race contains 8 horses. If you wished to bet on every possible top three finishes (first, second, and third place), how many bets would you need to place?
  2. The following represents a binomial experiment. Seven plants are operated by a garment manufacturer in seven different countries. There is a 10% chance of strike at any time. It is also believed that strikes at one plant do not influence strikes at any other plant (because these are in third world countries with little access to news information.)  What is the probability of at most two plants going on strike?
  3. The pH measurements of water specimens from various locations along a given river basin are normally distributed with mean 8 and standard deviation 0.3.  What is the probability that the pH measurement of a randomly selected water specimen is dangerous—less than 7.2?

In: Statistics and Probability

Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied...

Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 8.8% per year, with a SD of 23.8%. The hedge fund risk premium is estimated at 13.8% with a SD of 38.8%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual returns on the S&P 500 and the hedge fund in the same year is zero, but Greta is not fully convinced by this claim. Calculate Greta’s capital allocation using an annual correlation of 0.3

In: Finance

It is July 16. A company has a portfolio of stocks worth $100 million. The beta...

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?

In: Finance

A skilled volleyball player uses elbow motion (as well as shoulder motion) in a jump serve....

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

In: Physics

Question 5 (4 marks) Simple Calculation Use the information in the following table to answer the...

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.

2012

2013

2014

2015

2016

2017

2018

2019

Return

8.0%

4.0%

1.7%

-4.5%

9.7%

10.7%

-0.3%

-14.1%

Asset Value

108.00

112.36

114.27

109.18

119.82

132.64

132.27

113.64

  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).
  1. Calculate the rolling 3 years average returns and identify which year(s) the managers get paid the high water mark? (1.5 marks).
  1. Explain why managers are paid the high water mark during the years identified above (1 mark).

this is only info I have

In: Finance

Question 4 (14 marks) a. Suppose that the annual interest rate is 1% and no dividend...

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?

In: Finance

Linda is a sales associate at a large auto dealership. At her commission rate of 25%...

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:

Cars sold 0 1 2 3
Probability 0.3 0.35 0.15 k

Linda's estimate of her truck or SUV sales is

Truck or SUV sold

0 1 2
Probability 0.4 0.45 0.15

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.

In: Statistics and Probability

Consider the following numerical example using the Solow growth model. Suppose that F(K,N) = K^(4/13)N^(9/13) ,...

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*.

In: Economics