Question: Date Adj Close Price P n : SPY Adj Close Price P n : TLT 5/31/2017 235.858 120.4887 6/30/2017 237.3616 121.4428 7/31/2017 242.2404 120.6433 8/31/2017

The following table lists the month-end prices from May 2017 to July 2018 of the Spider S&P 500 Index ETF

DateAdj Close Price Pn: SPYAdj Close Price Pn: TLT
5/31/2017235.858120.4887
6/30/2017237.3616121.4428
7/31/2017242.2404120.6433
8/31/2017242.9471124.7557
9/29/2017247.8424121.8577
10/31/2017253.6826121.8107
11/30/2017261.4366122.716
12/29/2017264.6073124.9404
1/31/2018279.5203120.8728
2/28/2018269.3568117.1966
3/29/2018261.9736120.548
4/30/2018263.3276118.0308
5/31/2018269.7288120.3966
6/29/2018271.28121.1741
7/31/2018281.33119.433


Using the monthly returns, find the values of the following inferences about SPY and TLT, respectively.

  1. AAR
  2. GAR
  3. HPR
  4. Standard deviation
  5. Sharpe ratio
  6. VaR (1%) and Var (5%)


The following table lists the month-end prices from May 2017 to July 2018 of the Spider S&P 500 Index ETF (SPY) and iShares 20+ Treasury Bond ETF (TLT), respectively. During this time period the average annual yield for the one-month Treasury bills is 1.292% or 0.1077% per month. Apply the following equation to calculate the monthly returns from June 2017 to July 2018 for SPY and TLT, respectively. The monthly return for month n: rn = (Current month-end price - Previous month-end price) / Previous month-end price = (Pn-Pn-1)/Pn-1

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