11. Below is Megan Peters’ investment portfolio:
a) Calculate the expected return of her portfolio.
Stock % of Portfolio Expected Return
Cracker Barrel 15% 22 %
Enterprise Rent a Car 25 16
Red Roof Hotels 10 12
Cheesecake Factory 20 20
Domino’s Pizza 30 09
b) If you could only choose one, which of the following investments below would you
choose and why?
Stock Return Variance
Adidas 10% 14%
Nike 7% 5%
Morgan Stanley 12% 20%
11 - a
Expected return of the portfolio
where w_{i} = proportion of stock i in the portfolio and r_{i} is the expected return of the stock i
Here, n = number of stocks in portfolio = 5
Hence, expected return of the portfolio = 15% x 22% + 25% x 16% + 10% x 12% + 20% x 20% + 30% x 9% = 15.20%
11 - b
Let's evaluate the ratio = return / standard deviation.
Stock | Return | Variance | Std Dev | Return / Std dev |
R | V | S = V^{1/2} | R / S | |
Adidas | 10% | 14% | 37.42% | 0.2673 |
Nike | 7% | 5% | 22.36% | 0.3130 |
Morgan Stanley | 12% | 20% | 44.72% | 0.2683 |
Nike has the highest return to risk ratio. It thus offers highest return per unit of risk. Hence this the best stock amongst the available lot. Hence, if we have to choose one, we will choose Nike.
Get Answers For Free
Most questions answered within 1 hours.