In which case did the price of the stock change?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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What should be the prices of the following preferred stocks if comparable securities yield 4 percent? Use Appendix B and Appendix D to answer the questions. Round your answers to the nearest cent.

MN, Inc., $8 preferred ($120 par)

$  

CH, Inc., $8 preferred ($120 par) with mandatory retirement after 7 years

$  

What should be the prices of the following preferred stocks if comparable securities yield 8 percent? Round your answers to the nearest cent.

MN, Inc., $8 preferred ($120 par)

$  

CH, Inc., $8 preferred ($120 par) with mandatory retirement after 7 years

$  

In which case did the price of the stock change?

As with the valuation of bonds, an increase in interest rates causes the value of preferred stock to -Select-fallriseItem 5 .

In which case was the price more volatile?

While the prices of both preferred stocks -Select-declinedincreasedItem 6 , the price of the -Select-perpetual preferred stockstock with mandatory retirementItem 7 was more volatile.

**Interest Factors for the Present Value of One Dollar**

This table displays the present value interest factors (PVIF) for different interest rates over specified time periods, which are typically measured in years. The PVIF is a metric used in discounted cash flow (DCF) analysis to calculate the present value of a sum of money to be received in the future. The higher the interest rate and the longer the time period, the lower the present value, due to the effect of discounting.

### Table Breakdown:

- **Columns**: Each column represents a different interest rate, ranging from 1% to 28%.
  
- **Rows**: Each row represents a different time period, ranging from 1 to 30 years.

### Example Entries:

- For an interest rate of 5% and a time period of 10 years, the present value factor is 0.613.
- For an interest rate of 12% and a time period of 5 years, the present value factor is 0.567.
- For an interest rate of 28% and a time period of 15 years, the present value factor is 0.014.

### Usage:

To use the table, select the appropriate interest rate column and then locate the desired time period row. The intersection of the column and row gives the present value factor. Multiply this factor by the future dollar amount to find its present value.
Transcribed Image Text:**Interest Factors for the Present Value of One Dollar** This table displays the present value interest factors (PVIF) for different interest rates over specified time periods, which are typically measured in years. The PVIF is a metric used in discounted cash flow (DCF) analysis to calculate the present value of a sum of money to be received in the future. The higher the interest rate and the longer the time period, the lower the present value, due to the effect of discounting. ### Table Breakdown: - **Columns**: Each column represents a different interest rate, ranging from 1% to 28%. - **Rows**: Each row represents a different time period, ranging from 1 to 30 years. ### Example Entries: - For an interest rate of 5% and a time period of 10 years, the present value factor is 0.613. - For an interest rate of 12% and a time period of 5 years, the present value factor is 0.567. - For an interest rate of 28% and a time period of 15 years, the present value factor is 0.014. ### Usage: To use the table, select the appropriate interest rate column and then locate the desired time period row. The intersection of the column and row gives the present value factor. Multiply this factor by the future dollar amount to find its present value.
**Present Value of an Annuity Interest Factors Table**

This table depicts the interest factors for the present value of an annuity of one dollar. The top row represents different interest rates ranging from 1% to 36%. The leftmost column, labeled "Time Period (e.g., year)," indicates the number of years from 1 to 30.

Each cell within the table provides the factor that, when multiplied by a uniform annuity payment, determines the present value of that payment stream, given a specific interest rate and time period. 

**Example for Interpretation:**
- For a 5-year annuity with an interest rate of 4%, the factor is 4.452. This means that the present value of receiving one dollar every year for 5 years at a 4% interest rate is approximately $4.452.
  
This table is a useful tool for anyone needing to calculate the present value of annuities in financial planning and analysis.
Transcribed Image Text:**Present Value of an Annuity Interest Factors Table** This table depicts the interest factors for the present value of an annuity of one dollar. The top row represents different interest rates ranging from 1% to 36%. The leftmost column, labeled "Time Period (e.g., year)," indicates the number of years from 1 to 30. Each cell within the table provides the factor that, when multiplied by a uniform annuity payment, determines the present value of that payment stream, given a specific interest rate and time period. **Example for Interpretation:** - For a 5-year annuity with an interest rate of 4%, the factor is 4.452. This means that the present value of receiving one dollar every year for 5 years at a 4% interest rate is approximately $4.452. This table is a useful tool for anyone needing to calculate the present value of annuities in financial planning and analysis.
Expert Solution
Step 1

Formulas to calculate the price of the preferred stock:

P = D/K

Where P is the price, D is the dividend & K is the required return

MN, Inc., $8 preferred ($120 par)
=8/4%
=200.00

CH, Inc., $8 preferred ($120 par) with mandatory retirement after 7 years

=7x6.733+120*0.731
=47.131 + 87.72

=$134.85

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