Questions
A five-year bond with a yield of 7% (continuously compounded) pays a 5.5% coupon at the...

A five-year bond with a yield of 7% (continuously compounded) pays a 5.5% coupon at the end of each year.

  1. What is the bond’s price?
  2. What is the bond’s duration?
  3. Use the duration to calculate the effect on the bond’s price of a 0.3% decrease in its yield.
  4. Recalculate the bond’s price on the basis of a 6.7% per annum yield and verify that the result is in agreement with your answer to (c).

In: Finance

You're crafting a portfolio of two stocks. You plan to buy $3,000 worth of the first...

You're crafting a portfolio of two stocks. You plan to buy $3,000 worth of the first stock and $1,000 worth of the second stock. The standard deviation of the first stock is 20% and the standard deviation of the second stock is 40%. They have a correlation coefficient of 0.3. How volatile will the portfolio be? Answer in percent rounded to two decimal places. (e.g., 4.53% = 4.53)

In: Finance

A stock portfolio has an expected return of 12% and a standard deviation of 20%. A...

A stock portfolio has an expected return of 12% and a standard deviation of 20%. A bond portfolio has an expected return of 6% and a standard deviation of 9%. The two portfolios have a correlation coefficient of 0.3. T-Bills have an expected return of 2%. Your coefficient of risk aversion is 7.

  1. What is the expected return and standard deviation of the minimum variance portfolio?

In: Finance

Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12...

Consider the following time series data.

Week 1 2 3 4 5 6
Value 18 12 16 10 17 15

(a) Construct a time series plot.

What type of pattern exists in the data? The data appear to follow a horizontal pattern.

(b) Develop the three-week moving average forecasts for this time series. (Round your answers to two decimal places.)

Week Time Series
Value
Forecast
1 18
2 12
3 16
4 10 15.33
5 17 12.67
6 15 14.33

Compute MSE. (Round your answer to two decimal places.)

MSE = 15.89

What is the forecast for week 7? 14.00

(c) Use α = 0.2 to compute the exponential smoothing forecasts for the time series.

Week Time Series
Value
Forecast
1 18
2 12 18
3 16 16.80
4 10 16.64
5 17
6 15

Compute MSE. (Round your answer to two decimal places.)

MSE = 16.80

What is the forecast for week 7? (Round your answer to two decimal places.) 15.52

(d) Compare the three-week moving average approach with the exponential smoothing approach using  α = 0.2.  Which appears to provide more accurate forecasts based on MSE? Explain.

The three-week moving average provides a better forecast since it has a smaller MSE than the smoothing approach.

(e) Use a smoothing constant of α = 0.4 to compute the exponential smoothing forecasts.

Week Time Series
Value
Forecast
1 18
2 12 18
3 16 15.60
4 10 15.76
5 17
6 15

Does a smoothing constant of 0.2 or 0.4 appear to provide more accurate forecasts based on MSE? Explain. .The exponential smoothing using α = 0.4 provides a better forecast since it has a smaller MSE than the exponential smoothing using α = 0.2.

Missing 5 and 6 from both charts

In: Statistics and Probability

Mastery Problem: Corporations: Organization, Stock Transactions, and Dividends Pranks, Inc. Pranks, Inc. is a manufacturer of...

Mastery Problem: Corporations: Organization, Stock Transactions, and Dividends

Pranks, Inc.

Pranks, Inc. is a manufacturer of joke and novelty products for perpetrators of practical jokes. The corporation has paid several cash dividends throughout Year 6, the current year. It is also declaring a stock dividend to its stockholders as the calendar year-end approaches. You’ve been brought in as a consultant to assist with this process, and also to help determine whether some missing information can be determined before the distribution of the stock dividend is made. The company has two classes of stock: common stock and cumulative preferred stock.

Number of common shares authorized 800,000
Number of common shares issued 650,000
Par value of common shares $20
Par value of cumulative preferred shares $30
Paid-in capital in excess of par-common stock $7,000,000
Paid-in capital in excess of par-preferred stock $0
Total retained earnings before the stock dividend is declared $33,500,000
No treasury share have been reissued.
Preferred Dividends Common Dividends
Year Total Cash
Dividends
Total Per Share Total Per Share
Year 1 30,000   30,000 0.20       0 0.00      
Year 2 54,000   54,000 0.36       0 0.00      
Year 3 96,000   51,000 0.34       45,000 0.09      
Year 4 120,000   45,000 0.3       75,000 0.15      
Year 5 135,000   45,000 0.3       90,000 0.18      
Year 6 195,000   45,000 0.3       150,000 0.3      

Stock Dividend

The company declared a 2% common stock dividend on December 1, and would like you to compute the following pieces of missing information. The market value of the common shares is $25 on December 1, and is $32 on the actual distribution date of the stock, December 31.

Fill in the missing information in the following table, using the information given and your work on the other panels. All “before” items are before the stock dividend was declared. All “after” items are after the stock dividend was declared and closing entries were recorded at the end of the year.

Total paid-in capital before the stock dividend $
Total retained earnings before the stock dividend
Total stockholders’ equity before the stock dividend $
Total paid-in capital after the stock dividend $
Total retained earnings after the stock dividend
Total stockholders’ equity after the stock dividend $

In: Accounting

Catrina Corporation took out a new insurance policy on their recently built offices. The policy cost...

Catrina Corporation took out a new insurance policy on their recently built offices. The policy cost $240,000 and covered 24 months, from Oct 1, 20X1 to the end of Sep 20X3. When Catrina prepares its balance sheet at year-end 20X1, what amount will be shown as prepaid insurance?  

In: Accounting

1. why would any company choose to locate manufacturing facilities in the U.S., when U.S. companies...

1. why would any company choose to locate manufacturing facilities in the U.S., when U.S. companies are fleeing the country?

Take a foreign company that has built a plant in the U.S.   What incentives motivated the company of your choice? What were some of the long-term and short-term benefits of that decision?

In: Finance

Aki’s bicycle designs has determined that when x hundred bicycles are built, the average cost per...

Aki’s bicycle designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.2x^2-0.1x+5.857, where C(x) is in hundreds of dollars.

How many bicycles should the shop build to minimize the average cost per bicycle?

In: Math

3. Consider the market for Honda car, a brand of car. For each of the following...

3. Consider the market for Honda car, a brand of car. For each of the following separate scenarios, determine where demand/supply curve shifts.

  1. The price of Toyota car increases. (Toyota car is a substitute for Honda car)
  1. The price of steel increases.
  1. Car owners need to pay a higher tax.
  1. Subway is built.

In: Economics

Write a program that performs the following two tasks in java Reads an arithmetic expression in...

Write a program that performs the following two tasks in java

  1. Reads an arithmetic expression in an infix form, stores it in a queue (infix queue) and converts it to a postfix form (saved in a postfix queue).
  2. Evaluates the postfix expression.

Use linked lists to implement the Queue and Stack ADTs. DO NOT USE BUILT IN JAVA CLASSES

In: Computer Science