Problem 1 Suppose it is the start of year 2008. You have $100,000 to invest and decide to invest in a combina- tion of a riskless asset (f), a stock index fund (S) and a long-term bond fund (B), with the following properties: E(r) 0.03 (3%) 0.12 0.055 σ 0.00 0.19 0.10 Riskless Asset (f) Stock index fund (S) Long-term bond fund (B) The correlation of the returns on the long-term bond fund and the stock index fund is equal to 0.3.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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b) The tangency portfolio is 66% in fund S and 34% in fund B. What dollar amounts should be
invested in each of the three asset classes ƒ, S, and B if you would like to achieve (for the
year 2008) an expected return of 8% with the lowest possible standard deviation? What is
the standard deviation of the (percentage) return on this portfolio?
Transcribed Image Text:b) The tangency portfolio is 66% in fund S and 34% in fund B. What dollar amounts should be invested in each of the three asset classes ƒ, S, and B if you would like to achieve (for the year 2008) an expected return of 8% with the lowest possible standard deviation? What is the standard deviation of the (percentage) return on this portfolio?
Problem 1
Suppose it is the start of year 2008. You have $100,000 to invest and decide to invest in a combina-
tion of a riskless asset (f), a stock index fund (S) and a long-term bond fund (B), with the following
properties:
E(r)
0.03 (3%)
0.12
0.055
σ
0.00
0.19
0.10
Riskless Asset (f)
Stock index fund (S)
Long-term bond fund (B)
The correlation of the returns on the long-term bond fund and the stock index fund is equal to 0.3.
Transcribed Image Text:Problem 1 Suppose it is the start of year 2008. You have $100,000 to invest and decide to invest in a combina- tion of a riskless asset (f), a stock index fund (S) and a long-term bond fund (B), with the following properties: E(r) 0.03 (3%) 0.12 0.055 σ 0.00 0.19 0.10 Riskless Asset (f) Stock index fund (S) Long-term bond fund (B) The correlation of the returns on the long-term bond fund and the stock index fund is equal to 0.3.
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