Imagine you manage a balanced portfolio of U.S. investments that primarily consists of passive index ETFs. You typically maintain a 70/30 equity to bond allocation, while holding very little cash. Your equity allocation is primarily invested in the SPDR S&P 500 Index ETF (ticker symbol: SPY), while your fixed income allocation is split evenly between the iShares Core Aggregate Bond ETF (ticker symbol: AGG) and the Vanguard Extended Duration Treasury ETF (ticker symbol: EDV). a) Using the Internet or other relevant sources, determine the price return year-to-date for 2021 through April 30th for each of the AGG, EDV, and SPY ETFs [note: you may ignore any dividends paid during this period; assume they go straight into your checking account]. b) Also using the Internet or other relevant sources, determine the effective (or "average") duration of AGG and EDV. Given these durations, what is the implied move in interest rates (i.e., the yield curve) for (i) AGG, and (ii) EDF? c) Assume you entered 2021 with your portfolio allocation at your exact target weightings. You tell yourself you will not rebalance your portfolio unless the allocations deviate by 5% from your targets, meaning you won't take action unless the equity weighting exceeds 75% of your total portfolio or falls below 65%. Assuming you had not taken any action during 2021 prior to April 30th, would you do so now? Please show your calculations.