Question: Consider the following annualized stock return data: Average FTSE 100 index return (GBP): 6% Average Frontier market index return (USD): 8% Average GBP/USD spot return
Consider the following annualized stock return data:
| Average FTSE 100 index return (GBP): | 6% |
| Average Frontier market index return (USD): | 8% |
| Average GBP/USD spot return | 3% |
| Volatility of the FTSE 100 index return (GBP): | 13% |
| Volatility of GBP/USD spot return | 9% |
| Correlation of FTSE 100 and Frontier market return(GBP): | 0.32 |
| Covariance of FTSE 100 and Frontier market return(GBP): | 0.75% |
For the questions below, assume the U.K risk-free rate = 2% and the correlation between average Frontier market index return (USD) and GBP/USD spot return is zero:
- Given the information provided in the table above, answer the following questions:
- What is the volatility of the Frontier market index return in GBP? [2 marks] ii. What is the volatility of the Frontier market index return in USD? [3 marks] iii. Calculate the Sharpe ratio for both the FTSE 100 and Frontier market index
(GBP). [4 marks]
- Given the information provided in the table above, answer the following questions:
- What would be the return of an equally weighted portfolio consisting of the
FTSE 100 index and the Frontier market index? Interpret your results. [2 marks] ii. What would be the volatility an equally weighted portfolio consisting of the
FTSE 100 index and the Frontier market index? Interpret your results. [3 marks] iii. What would be the Sharpe ratio an equally weighted portfolio consisting of the
FTSE 100 index and the Frontier market index? Interpret your results. [3 marks]
- Would you invest in a single-country exchange traded fund (ETF) to achieve international diversification? Discuss.
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