Problem 2. The stock of Business Adventures sells for $40 a share. Its likely dividend payout at the end-of-year price depends on the state of the economy by the end of the year as follows: State of the Economy Stock Price Dividend Recession $0.50 Normal Growth $1.00 Boom $ 2.00 $34 $43 $50 (a) Calculate the expected holding-period return and standard deviation of the return. All three scenarios are equally likely. (b) Calculate the expected return and standard deviation of a portfolio invested half in Business Adventures and half in Treasury Bills. The return on Treasury Bills is 4%. (c) Assume your utility function is U(µ, o) = µ – 30². How much would you invest in the stock and how much would you invest in T-Bills?

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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Problem 2. The stock of Business Adventures sells for $40 a share. Its
likely dividend payout at the end-of-year price depends on the state of the
economy by the end of the year as follows:
State of the Economy Stock Price
Recession
Normal Growth
Boom
$34
$43
$50
Dividend
$ 0.50
$ 1.00
$ 2.00
(a) Calculate the expected holding-period return and standard deviation
of the return. All three scenarios are equally likely.
(b) Calculate the expected return and standard deviation of a portfolio
invested half in Business Adventures and half in Treasury Bills. The
return on Treasury Bills is 4%.
=
(c) Assume your utility function is U(u, o) = μ-302. How much would
you invest in the stock and how much would you invest in T-Bills?
Transcribed Image Text:Problem 2. The stock of Business Adventures sells for $40 a share. Its likely dividend payout at the end-of-year price depends on the state of the economy by the end of the year as follows: State of the Economy Stock Price Recession Normal Growth Boom $34 $43 $50 Dividend $ 0.50 $ 1.00 $ 2.00 (a) Calculate the expected holding-period return and standard deviation of the return. All three scenarios are equally likely. (b) Calculate the expected return and standard deviation of a portfolio invested half in Business Adventures and half in Treasury Bills. The return on Treasury Bills is 4%. = (c) Assume your utility function is U(u, o) = μ-302. How much would you invest in the stock and how much would you invest in T-Bills?
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