Question

In: Finance

The geometric average of −16%, 25%, and 30% is _________.

The geometric average of −16%, 25%, and 30% is _________.

Multiple Choice

  • 10.93%

  • 23.53%

  • 9.75%

  • 13.00%

Solutions

Expert Solution

R1 = -16%

R2 = 25%

R3 = 30%

Geometric average = [(1 + R1) * (1 + R2) * (1 + R3)]^(1/3) - 1

= [(1-0.16)*(1+0.25)*(1+0.3)]^(1/3) -1

= 1.365^(1/3) -1

= 0.1093

= 10.93%

Correct choice A


Related Solutions

The geometric average of -20%, 20%, and 25% is
The geometric average of -20%, 20%, and 25% is
Using the following returns, calculate the arithmetic average returns, the standard deviations, and the geometric average...
Using the following returns, calculate the arithmetic average returns, the standard deviations, and the geometric average returns for the stock A, B, and C. Assume the returns of stocks are normally distributed. If Mr. Wong owns a stock C, based on the historical return data, there is only a 2.5 percent chance that the stock C will produce a return less than _____ percent in any one year.   If Mr. Wong owns a stock B, which range of returns would...
Using the following returns, calculate the arithmetic average returns, the standard deviations, and the geometric average...
Using the following returns, calculate the arithmetic average returns, the standard deviations, and the geometric average returns for the stock A, B, and C. Assume the returns of stocks are normally distributed. If Mr. WENG owns a stock C, based on the historical return data, there is only a 2.5 percent chance that the stock C will produce a return less than _____ percent in any one year.   If Mr. WENG owns a stock B, which range of returns would...
A stock price follows geometric Brownian motion with an expected return of 16% and a volatility...
A stock price follows geometric Brownian motion with an expected return of 16% and a volatility of 35%. The current price is $38. a) What is the probability that a European call option on the stock with an exercise price of $40 and a maturity date in six months will be exercised? b) What is the probability that a European put option on the stock with the same exercise price and maturity will be exercised? Note: leave answers as N(x).
Using the procedure outlined in the appendix at the end of the chapter for geometric average...
Using the procedure outlined in the appendix at the end of the chapter for geometric average growth rates​ (in the section titled​ "Calculating Average​ (Compound) Growth​ Rates," reproduce the​ "Implied (Average) Annual​ Growth" figures​ (for the following​ countries: France,​ Singapore, Botswana,​ India, and Kenya. GDP values are​ PPP-adjusted 2005 constant dollars. Fill in the table below with the geometric average growth rates as a percentage. ​(Round your responses to two decimal places​.) GDP per Capita Implied​ (Average) Annual Growth​ (%)...
Given the following price and dividend information, calculate the arithmetic average return, the geometric average return,...
Given the following price and dividend information, calculate the arithmetic average return, the geometric average return, the sample variance and the sample standard deviation for the returns, holding period return, the $1 invested equivalent, the probability of losing money, the upper bound to the 95th confidence interval, the lower bound to the 99th confidence interval, the lower bound to the 68th confidence interval. (Enter percentages as decimals and round to 4 decimals) Year Price Dividend 0 50.72    1 43.54...
What are the arithmetic and geometric average returns for a Property D with annual returns of...
What are the arithmetic and geometric average returns for a Property D with annual returns of 11 percent, 14 percent, -2 percent and 6 percent? A. 7.25%; 7.08% B. 8.25%; 7.89% C. 8.25%; 8.15% D. 7.25%; 7.37% E. 7.25%; 8.15%
A portfolio's performance is summarized in the table below. What is the geometric average return for...
A portfolio's performance is summarized in the table below. What is the geometric average return for the entire period? Year Beginning of Year Price 2017 $40 2018 $45 2019 $41 2020 $44 Multiple Choice 3.23% 10.00% 6.48% 2.41% 4.88%
PSY 312 Power Analysis Homework       h2     .02   .04 .06 .09 .12 .16   .20   .25   .30  ...
PSY 312 Power Analysis Homework       h2     .02   .04 .06 .09 .12 .16   .20   .25   .30   .36   .42   .49 power .30     93    53    34   24   18   14    11     9     8     7     6     5 .40      132    74    47   33   24   19    15    12    10     8     7     6 .50      170    95    60   42   30   23    18    14    12     9     8     7 .60      257 143    90   62   45   34    24    20    16    13    11     9 .70      300 167 105   72   52   39   ...
Analyze the words of the Lord Jesus found in Matthew 20:1-16 and Matthew 25:14-30. How do...
Analyze the words of the Lord Jesus found in Matthew 20:1-16 and Matthew 25:14-30. How do these parables apply to economics?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT