INV 1 5aii Suppose that you have the following utility function: U=E(r) – ½ Aσ2   and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum.  You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 standard deviation =   0.173687 ETFCDA  : E(r)= 0.073763 standard deviation =  0.16816  Covariance between ETFUS and ETFCDA = 0.02397 What is the portfolio expected return for ETFCDA?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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INV 1 5aii

Suppose that you have the following utility function:

U=E(r) – ½ Aσ2   and A=3

Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. 

You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows:

ETFUS :

E(r)= 0.070584

standard deviation =   0.173687

ETFCDA  :

E(r)= 0.073763

standard deviation =  0.16816

 Covariance between ETFUS and ETFCDA = 0.02397

What is the portfolio expected return for ETFCDA?

 

 

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