In: Finance
LeBron holds the following portfolio:
   
| 
 Stock  | 
 Investment  | 
 Beta  | 
||
| 
 A  | 
 $100,000  | 
 1.40  | 
||
| 
 B  | 
 $100,000  | 
 0.70  | 
||
| 
 C  | 
 $200,000  | 
 1.40  | 
||
| 
 D  | 
 $100,000  | 
 1.80  | 
||
| 
 Total  | 
 $500,000  | 
   
LeBron plans to sell Stock C and replace it with Stock E, which has
a beta of 0.80. By how much will the portfolio beta change?
Ans 0.54
| STOCK | BETA | Investment | Beta * Investment | 
| A | 1.40 | 1,00,000 | 1,40,000 | 
| B | 0.70 | 1,00,000 | 70,000 | 
| C | 1.40 | 2,00,000 | 2,80,000 | 
| D | 1.80 | 1,00,000 | 1,80,000 | 
| Total | 6,70,000 | ||
| Average beta = | (Beta* Investment) / Total Investment | ||
| 670000 / 500000 | |||
| 1.34 | |||
| Difference in Beta = | 1.34 - 0.80 | ||
| 0.54 | |||