The rate of return of a price-weighted index of three stocks for the period t=0 to t=1 Introduction: Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks. Stock Market Indexes are indicators of performance of the stock market. Dow is the best known measure of the stock market performance. Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

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Answer 1

Question

Chapter 2, Problem 11PS

Requirement 1

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=0 to t=1

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 1

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the first period for the three stocks is 4.17%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 0 price	Period 1 price
A	90	95
B	50	45
C	100	110
Sum of prices	240	250
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	80.00	83.33
Rate of return=	(PWI 1/PWI 0 )-1
Rate of return=	4.17%

Conclusion

The rate of return on price-weighted index of the three stocks for first period is 4.17%

Requirement 2

Summary Introduction

To Calculate:
The divisor for the price weighted index in the period 2.

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 2

Expert Solution

Answer to Problem 11PS

The divisor at period 2 is 2.34

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

The divisor generally changes to show the stock split. It is obtained by dividing the sum of prices of stocks in the period when the stock was split by the price-weighted index in the previous period.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
New divisor =	Sum of stocks prices in period 2/ PWI of Period1
New Divisor	2.34

Conclusion

The divisor in the second period is 2.34

Requirement 3

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=1 to t=2

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 3

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the second period for the three stocks is 0%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	83.33	83.33
Rate of return=	(PWI 2/PWI 1 )-1
Rate of return=	0.00%

Conclusion

The rate of return on price-weighted index of the three stocks for second period is 0%.

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Students have asked these similar questions

Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Consider the three stocks in the following table. Pt represents price at time t, Qt represents shares outstanding at time t. Stock C splits two for one in the second period from t=1 to t=2. Calculate the rate of return on a price-weighted index consisting of the three stocks for the first period from t=0 to t=1. Answer in percentage. Stock P0 Q0 P1 Q1 P2 Q2 A 70 475 75 475 75 475 B 45 850 40 850 40 850 C 50 300 60 300 30 600 a. 0.00% b. 2.49% c. 6.06% d. 8.95% e. 1.30%

Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two for one in the last period. P0 Q0 P1 Q1 P2 Q2 A 110 500 115 500 115 500 B 90 600 85 600 85 600 C 80 600 100 600 50 1,200 a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. Calculate the new divisor for the price-weighted index in year 2. (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. Calculate the rate of return for the second period (t = 1 to t = 2).

Answer 2

Question

Chapter 2, Problem 11PS

Requirement 1

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=0 to t=1

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 1

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the first period for the three stocks is 4.17%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 0 price	Period 1 price
A	90	95
B	50	45
C	100	110
Sum of prices	240	250
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	80.00	83.33
Rate of return=	(PWI 1/PWI 0 )-1
Rate of return=	4.17%

Conclusion

The rate of return on price-weighted index of the three stocks for first period is 4.17%

Requirement 2

Summary Introduction

To Calculate:
The divisor for the price weighted index in the period 2.

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 2

Expert Solution

Answer to Problem 11PS

The divisor at period 2 is 2.34

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

The divisor generally changes to show the stock split. It is obtained by dividing the sum of prices of stocks in the period when the stock was split by the price-weighted index in the previous period.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
New divisor =	Sum of stocks prices in period 2/ PWI of Period1
New Divisor	2.34

Conclusion

The divisor in the second period is 2.34

Requirement 3

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=1 to t=2

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 3

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the second period for the three stocks is 0%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	83.33	83.33
Rate of return=	(PWI 2/PWI 1 )-1
Rate of return=	0.00%

Conclusion

The rate of return on price-weighted index of the three stocks for second period is 0%.

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Answer 3

Question

Chapter 2, Problem 11PS

Requirement 1

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=0 to t=1

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 1

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the first period for the three stocks is 4.17%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 0 price	Period 1 price
A	90	95
B	50	45
C	100	110
Sum of prices	240	250
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	80.00	83.33
Rate of return=	(PWI 1/PWI 0 )-1
Rate of return=	4.17%

Conclusion

The rate of return on price-weighted index of the three stocks for first period is 4.17%

Requirement 2

Summary Introduction

To Calculate:
The divisor for the price weighted index in the period 2.

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 2

Expert Solution

Answer to Problem 11PS

The divisor at period 2 is 2.34

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

The divisor generally changes to show the stock split. It is obtained by dividing the sum of prices of stocks in the period when the stock was split by the price-weighted index in the previous period.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
New divisor =	Sum of stocks prices in period 2/ PWI of Period1
New Divisor	2.34

Conclusion

The divisor in the second period is 2.34

Requirement 3

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=1 to t=2

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 3

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the second period for the three stocks is 0%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	83.33	83.33
Rate of return=	(PWI 2/PWI 1 )-1
Rate of return=	0.00%

Conclusion

The rate of return on price-weighted index of the three stocks for second period is 0%.

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Answer 4

Question

Chapter 2, Problem 11PS

Requirement 1

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=0 to t=1

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 1

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the first period for the three stocks is 4.17%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 0 price	Period 1 price
A	90	95
B	50	45
C	100	110
Sum of prices	240	250
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	80.00	83.33
Rate of return=	(PWI 1/PWI 0 )-1
Rate of return=	4.17%

Conclusion

The rate of return on price-weighted index of the three stocks for first period is 4.17%

Requirement 2

Summary Introduction

To Calculate:
The divisor for the price weighted index in the period 2.

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 2

Expert Solution

Answer to Problem 11PS

The divisor at period 2 is 2.34

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

The divisor generally changes to show the stock split. It is obtained by dividing the sum of prices of stocks in the period when the stock was split by the price-weighted index in the previous period.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
New divisor =	Sum of stocks prices in period 2/ PWI of Period1
New Divisor	2.34

Conclusion

The divisor in the second period is 2.34

Requirement 3

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=1 to t=2

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 3

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the second period for the three stocks is 0%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	83.33	83.33
Rate of return=	(PWI 2/PWI 1 )-1
Rate of return=	0.00%

Conclusion

The rate of return on price-weighted index of the three stocks for second period is 0%.

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Answer 5

Chapter 2, Problem 11PS

Requirement 1

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=0 to t=1

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 1

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the first period for the three stocks is 4.17%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 0 price	Period 1 price
A	90	95
B	50	45
C	100	110
Sum of prices	240	250
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	80.00	83.33
Rate of return=	(PWI 1/PWI 0 )-1
Rate of return=	4.17%

Conclusion

The rate of return on price-weighted index of the three stocks for first period is 4.17%

Requirement 2

Summary Introduction

To Calculate:
The divisor for the price weighted index in the period 2.

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 2

Expert Solution

Answer to Problem 11PS

The divisor at period 2 is 2.34

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

The divisor generally changes to show the stock split. It is obtained by dividing the sum of prices of stocks in the period when the stock was split by the price-weighted index in the previous period.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
New divisor =	Sum of stocks prices in period 2/ PWI of Period1
New Divisor	2.34

Conclusion

The divisor in the second period is 2.34

Requirement 3

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=1 to t=2

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 3

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the second period for the three stocks is 0%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	83.33	83.33
Rate of return=	(PWI 2/PWI 1 )-1
Rate of return=	0.00%

Conclusion

The rate of return on price-weighted index of the three stocks for second period is 0%.

Answer 6

Chapter 2, Problem 11PS

Requirement 1

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=0 to t=1

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 1

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the first period for the three stocks is 4.17%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 0 price	Period 1 price
A	90	95
B	50	45
C	100	110
Sum of prices	240	250
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	80.00	83.33
Rate of return=	(PWI 1/PWI 0 )-1
Rate of return=	4.17%

Conclusion

The rate of return on price-weighted index of the three stocks for first period is 4.17%

Answer 7

Chapter 2, Problem 11PS

Requirement 1

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=0 to t=1

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Answer 8

Requirement 1

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the first period for the three stocks is 4.17%

Answer 9

Requirement 1

Expert Solution

Answer 10

Requirement 1

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 0 price	Period 1 price
A	90	95
B	50	45
C	100	110
Sum of prices	240	250
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	80.00	83.33
Rate of return=	(PWI 1/PWI 0 )-1
Rate of return=	4.17%

Answer 13

Conclusion

The rate of return on price-weighted index of the three stocks for first period is 4.17%

Answer 14

Requirement 2

Summary Introduction

To Calculate:
The divisor for the price weighted index in the period 2.

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 2

Expert Solution

Answer to Problem 11PS

The divisor at period 2 is 2.34

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

The divisor generally changes to show the stock split. It is obtained by dividing the sum of prices of stocks in the period when the stock was split by the price-weighted index in the previous period.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
New divisor =	Sum of stocks prices in period 2/ PWI of Period1
New Divisor	2.34

Conclusion

The divisor in the second period is 2.34

Answer 15

Requirement 2

Summary Introduction

To Calculate:
The divisor for the price weighted index in the period 2.

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Answer 16

Requirement 2

Expert Solution

Answer to Problem 11PS

The divisor at period 2 is 2.34

Answer 17

Requirement 2

Expert Solution

Answer 18

Requirement 2

Expert Solution

Answer 19

Expert Solution

Answer 20

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

The divisor generally changes to show the stock split. It is obtained by dividing the sum of prices of stocks in the period when the stock was split by the price-weighted index in the previous period.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
New divisor =	Sum of stocks prices in period 2/ PWI of Period1
New Divisor	2.34

Answer 21

Conclusion

The divisor in the second period is 2.34

Answer 22

Requirement 3

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=1 to t=2

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Requirement 3

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the second period for the three stocks is 0%

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	83.33	83.33
Rate of return=	(PWI 2/PWI 1 )-1
Rate of return=	0.00%

Conclusion

The rate of return on price-weighted index of the three stocks for second period is 0%.

Answer 23

Requirement 3

Summary Introduction

To Calculate:
The rate of return of a price-weighted index of three stocks for the period t=1 to t=2

Introduction:

Stock exchanges are markets where securities can be bought as well as sold. New York Stock Exchange is one amongst the several markets where the investors can sell their shares or they could purchase their shares or stocks.

Stock Market Indexes are indicators of performance of the stock market.

Dow is the best known measure of the stock market performance.

Price weighted average is an average which is obtained by adding the stock prices and dividing it by a divisor.

Answer 24

Requirement 3

Expert Solution

Answer to Problem 11PS

The rate of return on the price-weighted index for the second period for the three stocks is 0%

Answer 25

Requirement 3

Expert Solution

Answer 26

Requirement 3

Expert Solution

Answer 27

Expert Solution

Answer 28

Explanation of Solution

Pt represents the price of a stock at time t and Qt represents the outstanding shares at time t. Stock C is split 2 for 1 in last period.

Stock	P0	Q0	P1	Q1	P2	Q2
A	90	100	95	100	95	100
B	50	200	45	200	45	200
C	100	200	110	200	55	400

Return on the index is given by subtracting one from the value obtained when Price weighted index of period t1 divided by price weighted index of period t2.

Stock	Period 1 price	Period 2 price
A	95	95
B	45	45
C	110	55
Sum of prices	250	195
Price weighted index =	Sum/divisor	Sum/divisor
Price weighted index (PWI)	83.33	83.33
Rate of return=	(PWI 2/PWI 1 )-1
Rate of return=	0.00%