Question: Question 2 (6 points) You plan to construct portfolio using two risky assets S&P500 Index ETF (VFINX) and US 10-year Treasury-Bond ETF (IEF). Your fundamental

Question 2 (6 points)

You plan to construct portfolio using two risky assets S&P500 Index ETF (VFINX) and US 10-year Treasury-Bond ETF (IEF). Your fundamental research team provided you with the long-term expected return and risk as follows:

Question 2 (6 points) You plan to construct portfolio using two risky

(1) Complete the investment opportunity set table by calculating portfolio expected return and standard deviation per the different combination of stock and bond weight.

o Set the stock index fund weighting range between -20% and 120% with 10% points interval (-20% means you short index fund to buy bond by 20%)

Investement Opportunity Set Table
Weight Weight Expected Standard
Equity Bonds Return Deviation
-20% 120%
-10% 110%
0% 100%
10% 90%
20% 80%
30% 70%
40% 60%
50% 50%
60% 40%
70% 30%
80% 20%
90% 10%
100% 0%
110% -10%
120% -20%

(2) If the two assets have a perfect negative correlation (i.e. = -1), approximately how much return can you achieve by constructing arbitrage portfolio with zero risk?

o For the answer, a single digit % number is enough (e.g. 8%).

S&P500 10 Year T-Bond ETF Index ETF 8.0% 3.0% Expected Return Expected Standard Deviation Correlation 22.0% 6.0% -0.20

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