Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Suppose you forecast the information ratios of the seven international portfolios (as shown in Table 19.9B). Construct the optimal portfolio of the U.S. index with the seven portfolios and assess its performance.

Short Answer

Expert verified

As below

Step by step solution

01

Construction of optimal portfolio

  • In the table (taken from above), alpha value of seven portfolios was replaced by arbitrary forecasts.
  • Average return was replaced by forecast of US risk premium of 0.5% per month.
  • Average return of the seven portfolios was recalculated with new alpha values.
  • The information and Sharpe ratio was recalculated with the forecasts.
Market
Monthly Excess return
Performance
Regression on US returns

Average Return

SD

Correlation

Beta

Alpha

Resid SD

Info Ratio

Sharpe

USA

0.5

4.81

1

1

0

0

0

0.1

Large Market Portfolio

0.5

4.71

0.79

0.77

0.01

2.9

0.0035

0.08

EU-Dev portfolio

0.55

6.08

0.84

1.06

0.022

3.33

0.0066

0.09

Aust + FE portfolio

0.54

6.21

0.8

1.04

0.025

3.68

0.0068

0.09

Europe-dev portfolio

0.43

4.95

0.79

0.82

0.026

3.01

0.0086

0.9

EM-FE-SA Portfolio

0.54

7.1

0.69

1.01

0.033

5.17

0.0064

0.8

EM-LA portfolio

0.71

7.83

0.78

1.27

0.07

4.9

0.0143

0.9

EM-Europe Portfolio

0.77

9.54

0.7

1.38

0.075

6.94

0.011

0.8

02

Assessment of optimal portfolio


Optimization follows the index model (Treynor - Black) Procedure


Alpha/residual variance

Weights in active pf

Large market portfolio

0.00119

0.06742

EU-dev portfolio

0.00198

0.1453

Aust-Fe portfolio

0.00184

0.13511

Europe-dev portfolio

0.00286

0.2101

EM-FE-SA portfolio

0.00123

0.09059

EM-LA portfolio

0.00291

0.21376

EM-Europe Portfolio

0.0016

0.11772

SUM

0.01363

1.00000

Active of Alpha

0.03969

Active of residual variances

2.91188

Active of info ratio

0.02326

Active of beta

1.05958

w(0)

0.62981

w*

0.65436

Optimal position in US

0.34564

Large Market Portfolio

0.05721

EU-Dev portfolio

0.09508

Aust + FE portfolio

0.08841

Europe-dev portfolio

0.13748

EM-FE-SA Portfolio

0.05928

EM-LA portfolio

0.13988

EM-Eurpoe Portfolio

0.07708

SUM

0.65436

Optimal Pf Sharpe 0.10660

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The chairman provides you with the following data, covering one year, concerning the portfolios of two of the fund’s equity managers (manager A and manager B). Although the portfolios consist primarily of common stocks, cash reserves are included in the calculation of both portfolio betas and performance. By way of perspective, selected data for the financial markets are included in the following table.

a. Calculate and compare the alpha of the two managers relative to each other and to the S&P 500.

b. Explain two reasons the conclusions drawn from this calculation may be misleading.

Why does a progressive tax code produce a retirement annuity for a middle-class household that is similar to that which would follow from a flat tax?

You are a U.S. investor considering purchase of one of the following securities. Assume that the currency risk of the Canadian government bond will be hedged, and the six month discount on Canadian-dollar forward contracts is - .75% versus the U.S. dollar..

Calculate the expected price change required in the Canadian government bond that would result in the two bonds having equal total returns in U.S. dollars over a six-month horizon.

Assume that the yield on the U.S. bond is expected to remain unchanged.

Under the flat tax (Spreadsheet 21.4), will a 1% increase in ROR offset a 1% increase in the tax rate?

With respect to hedge fund investing, the net return to an investor in a fund of funds would be lower than that earned from an individual hedge fund because of:

a. Both the extra layer of fees and the higher liquidity offered.

b. No reason; funds of funds earn returns that are equal to those of individual hedge funds.

c. The extra layer of fees only.

See all solutions

Recommended explanations on Business Studies Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free