INVESTMENTS(LL)W/CONNECT
11th Edition
ISBN: 9781260433920
Author: Bodie
Publisher: McGraw-Hill Publishing Co.
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Chapter 24, Problem 7CP
Summary Introduction
To calculate: Annual geometric return.
Introduction: Geometric mean is sum of the
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Assume that at the beginning of the year, you purchase an investment for $7,200 that pays $100 annual income. Also assume the
investment's value has decreased to $6,800 by the end of the year.
(a) What is the rate of return for this investment? (Input the amount as a positive value. Enter your answer as a percent rounded to 2
decimal places.)
Rate of return
%
(b) Is the rate of return a positive or negative number?
Positive
O Negative
Assume that at the beginning of the year, you purchase an investment for $6,300 that pays
$130 annual income. Also assume the investment's value has increased to $6,900 by the end
of the year.
a. What is the rate of return for this investment?
Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2
decimal places.
Rate of return
%
b. Is the rate of return a positive or a negative number?
Positive
Negative
Assume the returns from holding an asset are normally distributed. Also assume the average annual return for holding the asset a period of time was 15.3 percent and the standard deviation of this asset for the period was 33.2 percent. Use the NORMDIST function in Excel® to answer the following questions.
a.
What is the approximate probability that your money will double in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 3 decimal places, e.g., 32.161.)
b.
What is the approximate probability that your money will triple in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 8 decimal places, e.g., 32.16161616.)
Chapter 24 Solutions
INVESTMENTS(LL)W/CONNECT
Ch. 24 - Prob. 1PSCh. 24 - Prob. 2PSCh. 24 - Prob. 3PSCh. 24 - Prob. 4PSCh. 24 - Prob. 5PSCh. 24 - Prob. 6PSCh. 24 - Prob. 7PSCh. 24 - Prob. 8PSCh. 24 - Prob. 9PSCh. 24 - Prob. 10PS
Ch. 24 - Prob. 11PSCh. 24 - Prob. 12PSCh. 24 - Prob. 13PSCh. 24 - Prob. 14PSCh. 24 - Prob. 15PSCh. 24 - Prob. 16PSCh. 24 - Prob. 17PSCh. 24 - Prob. 18PSCh. 24 - Prob. 19PSCh. 24 - Prob. 20PSCh. 24 - Prob. 21PSCh. 24 - Prob. 22PSCh. 24 - Prob. 1CPCh. 24 - Prob. 2CPCh. 24 - Prob. 3CPCh. 24 - Prob. 4CPCh. 24 - Prob. 5CPCh. 24 - Prob. 6CPCh. 24 - Prob. 7CPCh. 24 - Prob. 8CPCh. 24 - Prob. 9CPCh. 24 - Prob. 10CPCh. 24 - Prob. 11CPCh. 24 - Prob. 12CPCh. 24 - Prob. 13CPCh. 24 - Prob. 14CP
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- To calculate the effective rate of return on an investment, the total compound interest earned in 1 year is divided by the _____.arrow_forwardConsider an initial investment of $100 using an accumulation function which is a second-degree polynomial. You are given that the future values of this investment at the end of six months and the first year are $120 and $150, respectively. Determine the present value of 100$ which is paid at time -15.arrow_forwardOver a 25 year an asset had an arithmetic return of 3.1% and a geometric return of 12.6%. Using blume's formula, what is the best estimate of the future annual returns over the next 10 years?arrow_forward
- ok Assume the returns from holding an asset are normally distributed. Also assume the average annual return for holding the asset a period of time was 15.4 percent and the standard deviation of this asset for the period was 33.3 percent. Use the NORMDIST function in Excel to answer the following questions. a. What is the approximate probability that your money will double in value in a single year? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 3 decimal places, e.g., 32.161. b. What is the approximate probability that your money will triple in value in a single year? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 8 decimal places, e.g., 32.16161616. ences a. Probability b. Probability % %arrow_forwardAssume that at the beginning of the year, you purchase an investment for $2,500 that pays $67 annual income. Also assume that the investment's value has decreased to $2,350 at the end of the year. a. What is the rate of return for this investment? b. Is the rate of return a positive or a negative number? Complete this question by entering your answers in the tabs below. Req 1 Req 2 What is the rate of return for this investment? Note: Enter your answer as a percent rounded to 2 decimal places. Input the amount as a positive value. Rate of return % Req 1 Req 2 >arrow_forwardYou have found an asset with 12.60 percent arithmetic average return and a 10.24 percent geometric return. Your observation period is 40 years. What is your best estimate of the return of the asset over the next 5 years? 10 years? 20 years?arrow_forward
- An investment of $100 produces rate of return as followsIn year 1: a gain of 10 percentIn year 2: a loss of 5% percentIn year 3: a loss of 8 percentIn year 4: a gain of 3 percent.Calculate the value of the investment at the end of the fourth year and calculate the mean annual rate of return.arrow_forwardReturns of a Single Asset. Suppose you have invested in 2 assets whose annual returns are shown in the following table. If you invest $1000 in each asset: What will be the value of each asset at the end of year 5? What is the single annual rate which would yield the same value at the end of year 5? (meaning, what is the geometric average annual rate of return?) Year Asset A Asset B 1 -6.01% -9.98% 2 -10.27% 12.30% 3 13.75% 18.15% 4 24.31% -1.69% 5 20.88% 5.00% please use excelarrow_forwardYou bought an asset for $10,000 and sold it for $20,000 after 10 years. What was the annual rate of return on this investment? (Choose the closest rate)arrow_forward
- a) If you invest $5 and will receive $8 next year, what is your simple return? b) If you invest $5 and will receive $8 next year, what is your holding rate of return for each month? What is average monthly rate of return?arrow_forward10arrow_forward6.A young person with no initial capital invests k dollars per year at an annual rate of return r. Assume that investments are made continuously and that the return is compounded continuously. a.Determine the sum S(t) accumulated at any time t.arrow_forward
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