You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks: Stock Investment Stock's Beta Coefficient A $160 million 0.5 B 120 million 1.2 80 million 1.9 D 80 million 1.0 E 60 million 1.4 Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 3%, and you believe the following probability distribution for future market returns is realistic: Probability Market Return 0.1 -29 % 0.2 0.4 13 0.2 28 0.1 48 a. What is the equation for the Security Market Line (SML)? (Hint: First determine the expected market return.) I. n = 1.0% + (9.7%)b¡ II. n = 1.0% + (9.4%)bj III. = 3.0% + (9.7%)bi IV. n = 5.9% + (11.6%)b¡ V. n = 3.0% + (9.4%)bj -Select- b. Calculate Kish's required rate of return. Do not round intermediate calculations. Round your answer to two decimal places. % c. Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 16%, and its estimated beta is 1.4. Should Kish invest in the new company? The new stock -Select- * be purchased. At what expected rate of return should Kish be indifferent to purchasing the stock? Round your answer to two decimal places.

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
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You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:

| **Stock** | **Investment** | **Stock's Beta Coefficient** |
|-----------|----------------|------------------------------|
| A         | $160 million   | 0.5                          |
| B         | 120 million    | 1.2                          |
| C         | 80 million     | 1.9                          |
| D         | 80 million     | 1.0                          |
| E         | 60 million     | 1.4                          |

Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 3%, and you believe the following probability distribution for future market returns is realistic:

| **Probability** | **Market Return** |
|-----------------|-------------------|
| 0.1             | -29%              |
| 0.2             | 0                 |
| 0.4             | 13                |
| 0.2             | 28                |
| 0.1             | 48                |

**a. What is the equation for the Security Market Line (SML)? (Hint: First determine the expected market return.)**

I.   \( r_i = 1.0\% + (9.7\%)b_i \)  
II.  \( r_i = 1.0\% + (9.4\%)b_i \)  
III. \( r_i = 3.0\% + (9.7\%)b_i \)  
IV.  \( r_i = 5.9\% + (11.6\%)b_i \)  
V.   \( r_i = 3.0\% + (9.4\%)b_i \)  

[Select Answer]

**b. Calculate Kish's required rate of return. Do not round intermediate calculations. Round your answer to two decimal places.**  
\( \_\_\_ \% \)

**c. Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 16%, and its estimated beta is 1.4. Should Kish invest in the new company?**  
The new stock [Select Yes/No]
Transcribed Image Text:You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks: | **Stock** | **Investment** | **Stock's Beta Coefficient** | |-----------|----------------|------------------------------| | A | $160 million | 0.5 | | B | 120 million | 1.2 | | C | 80 million | 1.9 | | D | 80 million | 1.0 | | E | 60 million | 1.4 | Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 3%, and you believe the following probability distribution for future market returns is realistic: | **Probability** | **Market Return** | |-----------------|-------------------| | 0.1 | -29% | | 0.2 | 0 | | 0.4 | 13 | | 0.2 | 28 | | 0.1 | 48 | **a. What is the equation for the Security Market Line (SML)? (Hint: First determine the expected market return.)** I. \( r_i = 1.0\% + (9.7\%)b_i \) II. \( r_i = 1.0\% + (9.4\%)b_i \) III. \( r_i = 3.0\% + (9.7\%)b_i \) IV. \( r_i = 5.9\% + (11.6\%)b_i \) V. \( r_i = 3.0\% + (9.4\%)b_i \) [Select Answer] **b. Calculate Kish's required rate of return. Do not round intermediate calculations. Round your answer to two decimal places.** \( \_\_\_ \% \) **c. Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 16%, and its estimated beta is 1.4. Should Kish invest in the new company?** The new stock [Select Yes/No]
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