Question

93. Calculate the variance of an investment with five year returns of 10%, 6%, 4%, 2%...

93. Calculate the variance of an investment with five year returns of 10%, 6%, 4%, 2% and (10%).

Homework Answers

Answer #1

where N = no. of returns

Mean of Returns = ( 10 + 6 + 4 + 2 - 10 ) / 5 = 2.4 %

Return Mean Return-Mean (Return-Mean)2
10 2.4 7.6 57.76
6 2.4 3.6 12.96
4 2.4 1.6 2.56
2 2.4 -0.4 0.16
-10 2.4 -12.4 153.76

Sum of All ( Return - Mean) 2 = 57.76 + 12.96 + 2.56 + 0.16 + 153.76 = 227.2

Sum of All ( Return - Mean) 2 / N = 227.2 / 5 = 45.44

Square Root of [ Sum of All ( Return - Mean) 2 / N ] = ( 45.44 ) 1/2 = 6.74 %

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Calculate the arithmetic average, geometric average, variance, and standard deviation of an investment with five year...
Calculate the arithmetic average, geometric average, variance, and standard deviation of an investment with five year returns of 10%, 6%, 4%, 2% and -10
Calculate the variance of the following returns. Year Return 1 0.06 2 -0.05 3   -0.16 4...
Calculate the variance of the following returns. Year Return 1 0.06 2 -0.05 3   -0.16 4   0.28 5 0.08 Enter the answer with 4 decimals, e.g. 0.1234.
You observe an investment that has the following historical returns: Year Return 1 -4.66% 2 0.90%...
You observe an investment that has the following historical returns: Year Return 1 -4.66% 2 0.90% 3 10.81% 4 14.17% 5 15.33% 6 9.14% 7 -28.62% 8 12.76% 9 42.87% 10 -5.67% What was the average (arithmetic mean) return over the 10 year period? What was the investment's variance over the 10 year period? What was the investment's standard deviation over the 10 year period? Assuming the 10 years of return are normally distributed and representative of future returns (big,...
A stock has reported returns of -15%, -5%, -19%, -1%, and 6% in five of the...
A stock has reported returns of -15%, -5%, -19%, -1%, and 6% in five of the last six years. The average return over this period was -12%. Calculate the variance of these returns during this six-year period.
Given the following historical returns, what is the variance? Year 1 = 8%; year 2 =...
Given the following historical returns, what is the variance? Year 1 = 8%; year 2 = -12%; year 3 = 6%; year 4 = 1%; year 5 = -19%. Select one: a. 0.0089 b. 0.0394 c. 0.0139 d. 0.1178 e. 0.0063
Returns Year   X Y 1 11 % 23 % 2   15 26 3   10 11 4...
Returns Year   X Y 1 11 % 23 % 2   15 26 3   10 11 4 –13 –14 5   10 16 Using the returns shown above, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. (Do not round intermediate calculations. Enter your average return and standard deviation as a percent rounded to 2 decimal places, e.g., 32.16, and round the variance to 5 decimal places, e.g., 32.16161.)
Assume the returns of a stock for the previous five years are as follows: 10%, 6%,...
Assume the returns of a stock for the previous five years are as follows: 10%, 6%, 5%, 9% and 10%? What is the historical standard deviation of this stock? If the returns are normally distributed, what is the range of returns expected using a 99% level of confidence? If the stock price is currently $30, what is the expected maximum and minimum price of the stock at the end of the year assuming 95% level of confidence. Assume no dividend...
Assume the returns of a stock for the previous five years are as follows: 10%, 6%,...
Assume the returns of a stock for the previous five years are as follows: 10%, 6%, 5%, 9% and 10%? What is the historical standard deviation of this stock? If the returns are normally distributed, what is the range of returns expected using a 99% level of confidence? If the stock price is currently $30, what is the expected maximum and minimum price of the stock at the end of the year assuming 95% level of confidence. Assume no dividend...
4. Calculate the variance of the following returns. Year Return 1 -0.20 2 0.04 3   -0.14...
4. Calculate the variance of the following returns. Year Return 1 -0.20 2 0.04 3   -0.14 4   0.25 5 0.14 Enter the answer with 6 decimals, e.g. 0.123456. 5. A stock has an expected return of 0.10, its beta is 0.95, and the expected return on the market is 0.05. What must the risk-free rate be? (Hint: Use CAPM) Enter the answer in 4 decimals e.g. 0.0123. 1. The Down and Out Co. just issued a dividend of $1.17 per...
Which investment returns a greater future value at time 10; A or B INVESTMENT A time...
Which investment returns a greater future value at time 10; A or B INVESTMENT A time return investment 0 $1,000.00 1 3% 2 3% 3 3% 4 3% 5 3% 6 3% 7 3% 8 3% 9 3% 10 3% INVESTMENT B time return investment 0 $1,000.00 1 1% 2 3% 3 4% 4 3% 5 -2% 6 4% 7 -2% 8 -1% 9 -5% 10 6%
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • c = 100 + 0.8 (y - t) i = 500 - 50r g = 400...
    asked 9 minutes ago
  • When we observe two charged balloons dangling from thin thread, they can repel each other. We...
    asked 28 minutes ago
  • I study management information systems in my fourth year, but I do not know anything about...
    asked 28 minutes ago
  • What features of the environment are people “wired” to detect? Why? Would it be adaptive for...
    asked 29 minutes ago
  • Graduates of fashion marketing group men 8 women 20 have chosen work in France, probability of...
    asked 40 minutes ago
  • Despite guidelines regulating eligibility for special education services, today’s special education classrooms continue to be over   populated...
    asked 1 hour ago
  • A. Find the sum 3+8+13+...+28 B.  Find the first term and the common difference of the arithmetic...
    asked 1 hour ago
  • Explain why in a multiplier model a rise in household wealth relative to target will ceteris...
    asked 1 hour ago
  • What political and economic roles have Japan and the United States played in Southeast Asia in...
    asked 1 hour ago
  • What does the function split do? Explain with an example. ​ ​ def split(L, first): return...
    asked 1 hour ago
  • Code a simple Editor class with 2 constructors (one default, one with a string for a...
    asked 1 hour ago
  • Using a greedy algorithm solve the following instance of Interval Scheduling {(2,12),(1,7),(3,5),(8,10),(7,14),(9,16),(10,14),(12,13),(17,22),(13,14),(15,20),(14,18),(20,30),(22,25),(26,27),(25,29),(24,31)}
    asked 1 hour ago