Nature of Mathematics (MindTap Course List)
13th Edition
ISBN: 9781133947257
Author: karl J. smith
Publisher: Cengage Learning
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Chapter 17.CR, Problem 17CR
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29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 46 college students are randomly selected, find the probability thata. Exactly 11 of them major in STEM. b. At most 12 of them major in STEM. c. At least 11 of them major in STEM. d. Between 11 and 15 (including 11 and 15) of them major in STEM.
4. Assume that a risk-free money market account is added to the market described in Q3.
The continuously compounded rate of return on the money market account is log (1.1).
(i) For each given μ, use Lagrange multipliers to determine the proportions (as a
function of μ) of wealth invested in the three assets available for the minimum
variance portfolio with expected return μ.
(ii) Determine the market portfolio in this market and calculate its Sharp ratio.
3. A market consists of two risky assets with rates of return R₁ and R2 and no risk-free
asset. From market data the following have been estimated: ER₁ = 0.25, ER2 = 0.05,
Var R₁ = 0.01, Var R2 = 0.04 and the correlation between R1 and R2 is p = -0.75.
(i) Given that an investor is targeting a total expected return of μ = 0.2. What
portfolio weights should they choose to meet this goal with minimum portfolio
variance? Correct all your calculations up to 4 decimal points.
(ii) Determine the global minimum-variance portfolio and the expected return and
variance of return of this portfolio (4 d.p.).
(iii) Sketch the minimum-variance frontier in the μ-σ² plane and indicate the efficient
frontier.
(iv) Without further calculation, explain how the minimum variance of the investor's
portfolio return will change if the two risky assets were independent.
Chapter 17 Solutions
Nature of Mathematics (MindTap Course List)
Ch. 17.1 - Prob. 1PSCh. 17.1 - Prob. 2PSCh. 17.1 - Prob. 3PSCh. 17.1 - Prob. 4PSCh. 17.1 - Prob. 5PSCh. 17.1 - Prob. 6PSCh. 17.1 - Prob. 7PSCh. 17.1 - Prob. 8PSCh. 17.1 - Prob. 9PSCh. 17.1 - Prob. 10PS
Ch. 17.1 - Prob. 11PSCh. 17.1 - Prob. 12PSCh. 17.1 - Prob. 13PSCh. 17.1 - Prob. 14PSCh. 17.1 - In voting among three candidates, the outcomes are...Ch. 17.1 - Prob. 16PSCh. 17.1 - Prob. 17PSCh. 17.1 - Prob. 18PSCh. 17.1 - Prob. 19PSCh. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - Prob. 21PSCh. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - Prob. 24PSCh. 17.1 - a.How many different ways can a voter rank 3...Ch. 17.1 - Prob. 26PSCh. 17.1 - How many different ways can a voter rank n...Ch. 17.1 - Prob. 28PSCh. 17.1 - Prob. 29PSCh. 17.1 - Prob. 30PSCh. 17.1 - In voting method among three candidates, the...Ch. 17.1 - Prob. 32PSCh. 17.1 - Prob. 33PSCh. 17.1 - Prob. 34PSCh. 17.1 - Twelve board members are voting on after-meeting...Ch. 17.1 - Prob. 36PSCh. 17.1 - Prob. 37PSCh. 17.1 - Prob. 38PSCh. 17.1 - Prob. 39PSCh. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Prob. 44PSCh. 17.1 - Prob. 45PSCh. 17.1 - Prob. 46PSCh. 17.1 - Seventeen people serve on a board and are...Ch. 17.1 - Seventeen people serve on a board and are...Ch. 17.1 - Prob. 49PSCh. 17.1 - Prob. 50PSCh. 17.1 - Prob. 51PSCh. 17.1 - Prob. 52PSCh. 17.1 - Prob. 53PSCh. 17.1 - Suppose your college transcripts show the...Ch. 17.1 - Prob. 55PSCh. 17.1 - Prob. 56PSCh. 17.1 - Prob. 57PSCh. 17.1 - Prob. 58PSCh. 17.1 - Prob. 59PSCh. 17.1 - Prob. 60PSCh. 17.2 - Prob. 1PSCh. 17.2 - Prob. 2PSCh. 17.2 - Prob. 3PSCh. 17.2 - Prob. 4PSCh. 17.2 - Prob. 5PSCh. 17.2 - Prob. 6PSCh. 17.2 - Prob. 7PSCh. 17.2 - Prob. 8PSCh. 17.2 - Prob. 9PSCh. 17.2 - Prob. 10PSCh. 17.2 - Prob. 11PSCh. 17.2 - Prob. 12PSCh. 17.2 - An election with three candidates has the...Ch. 17.2 - Prob. 14PSCh. 17.2 - Consider the following voting situation:...Ch. 17.2 - Consider the following voting situation:...Ch. 17.2 - Prob. 17PSCh. 17.2 - The philosophy department is selecting a...Ch. 17.2 - The Adobe School District is hiring a vice...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - Prob. 22PSCh. 17.2 - Prob. 23PSCh. 17.2 - Prob. 24PSCh. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - Prob. 29PSCh. 17.2 - A focus group of 33 people for ABCTV were asked to...Ch. 17.2 - Prob. 31PSCh. 17.2 - Prob. 32PSCh. 17.2 - Prob. 33PSCh. 17.2 - Prob. 34PSCh. 17.2 - Prob. 35PSCh. 17.2 - Prob. 36PSCh. 17.2 - Prob. 37PSCh. 17.2 - Prob. 38PSCh. 17.2 - HISTORICAL QUEST In 1993 the 101st International...Ch. 17.2 - The U.S. president is elected with a vote of the...Ch. 17.2 - HISTORICAL QUEST Article 7 of the French...Ch. 17.2 - A group of fun-loving people have decided to play...Ch. 17.2 - A group of fun-loving people have decided to play...Ch. 17.2 - Prob. 44PSCh. 17.2 - Prob. 45PSCh. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - Prob. 49PSCh. 17.2 - Consider an election with three candidates with...Ch. 17.2 - Consider an election with four candidates with the...Ch. 17.2 - Prob. 52PSCh. 17.2 - Consider an election with four candidates with the...Ch. 17.2 - Prob. 54PSCh. 17.2 - Consider an election with three candidates with...Ch. 17.2 - Prob. 56PSCh. 17.2 - Prob. 57PSCh. 17.2 - Prob. 58PSCh. 17.2 - Prob. 59PSCh. 17.2 - The Game of WIN Construct a set of nonstandard...Ch. 17.3 - Prob. 1PSCh. 17.3 - Prob. 2PSCh. 17.3 - Prob. 3PSCh. 17.3 - IN YOUR OWN WORDS What is the quota rule? Does...Ch. 17.3 - Prob. 5PSCh. 17.3 - Prob. 6PSCh. 17.3 - Prob. 7PSCh. 17.3 - Prob. 8PSCh. 17.3 - Prob. 9PSCh. 17.3 - Prob. 10PSCh. 17.3 - Modified quotas are given in Problems 714. Round...Ch. 17.3 - Prob. 12PSCh. 17.3 - Prob. 13PSCh. 17.3 - Prob. 14PSCh. 17.3 - Find the standard divisor to two decimal places...Ch. 17.3 - Prob. 16PSCh. 17.3 - Prob. 17PSCh. 17.3 - Prob. 18PSCh. 17.3 - Prob. 19PSCh. 17.3 - Prob. 20PSCh. 17.3 - Prob. 21PSCh. 17.3 - Prob. 22PSCh. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - Consider the populations given in Problems 2932....Ch. 17.3 - Consider the populations given in Problems 2932....Ch. 17.3 - Consider the populations given in Problems 29-32....Ch. 17.3 - Consider the populations given in Problems 29-32....Ch. 17.3 - Consider the populations given in Problems 33-36....Ch. 17.3 - Consider the populations given in Problem. a.Find...Ch. 17.3 - Prob. 35PSCh. 17.3 - Prob. 36PSCh. 17.3 - Prob. 37PSCh. 17.3 - Prob. 38PSCh. 17.3 - Prob. 39PSCh. 17.3 - Prob. 40PSCh. 17.3 - Consider the following apportionment problem for...Ch. 17.3 - Prob. 42PSCh. 17.3 - Prob. 43PSCh. 17.3 - Consider the following apportionment problem for...Ch. 17.3 - Prob. 45PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 47PSCh. 17.3 - Prob. 48PSCh. 17.3 - Prob. 49PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 54PSCh. 17.3 - Prob. 55PSCh. 17.3 - Prob. 56PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 58PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.4 - Prob. 1PSCh. 17.4 - Prob. 2PSCh. 17.4 - Prob. 3PSCh. 17.4 - Prob. 4PSCh. 17.4 - Prob. 5PSCh. 17.4 - Prob. 6PSCh. 17.4 - Prob. 7PSCh. 17.4 - Prob. 8PSCh. 17.4 - Prob. 9PSCh. 17.4 - Prob. 10PSCh. 17.4 - Prob. 11PSCh. 17.4 - Prob. 12PSCh. 17.4 - Prob. 13PSCh. 17.4 - Prob. 14PSCh. 17.4 - Prob. 15PSCh. 17.4 - Prob. 16PSCh. 17.4 - Prob. 17PSCh. 17.4 - Prob. 18PSCh. 17.4 - Prob. 19PSCh. 17.4 - Prob. 20PSCh. 17.4 - Prob. 21PSCh. 17.4 - Prob. 22PSCh. 17.4 - Prob. 23PSCh. 17.4 - Prob. 24PSCh. 17.4 - Prob. 25PSCh. 17.4 - In Problems 2326, apportion the indicated number...Ch. 17.4 - Prob. 27PSCh. 17.4 - Prob. 28PSCh. 17.4 - Prob. 29PSCh. 17.4 - Prob. 30PSCh. 17.4 - Prob. 31PSCh. 17.4 - Prob. 32PSCh. 17.4 - Prob. 33PSCh. 17.4 - Prob. 34PSCh. 17.4 - Prob. 35PSCh. 17.4 - Prob. 36PSCh. 17.4 - Prob. 37PSCh. 17.4 - Prob. 38PSCh. 17.4 - Prob. 39PSCh. 17.4 - Prob. 40PSCh. 17.4 - Prob. 41PSCh. 17.4 - Prob. 42PSCh. 17.4 - Prob. 43PSCh. 17.4 - Prob. 44PSCh. 17.4 - Prob. 45PSCh. 17.4 - Prob. 46PSCh. 17.4 - Prob. 47PSCh. 17.4 - Prob. 48PSCh. 17.4 - Prob. 49PSCh. 17.4 - Prob. 50PSCh. 17.4 - Prob. 51PSCh. 17.4 - Prob. 52PSCh. 17.4 - Prob. 53PSCh. 17.4 - In problems 54-56, suppose the annual salaries of...Ch. 17.4 - In problems 54-56, suppose the annual salaries of...Ch. 17.4 - Prob. 56PSCh. 17.4 - Prob. 57PSCh. 17.4 - An elderly rancher died and left her estate to her...Ch. 17.4 - Prob. 59PSCh. 17.4 - Prob. 60PSCh. 17.CR - Prob. 1CRCh. 17.CR - Prob. 2CRCh. 17.CR - Prob. 3CRCh. 17.CR - Prob. 4CRCh. 17.CR - Prob. 5CRCh. 17.CR - Prob. 6CRCh. 17.CR - Prob. 7CRCh. 17.CR - Prob. 8CRCh. 17.CR - Prob. 9CRCh. 17.CR - Prob. 10CRCh. 17.CR - Prob. 11CRCh. 17.CR - Prob. 12CRCh. 17.CR - Chemistry is taught at five high schools in the...Ch. 17.CR - Prob. 14CRCh. 17.CR - Prob. 15CRCh. 17.CR - Prob. 16CRCh. 17.CR - Prob. 17CRCh. 17.CR - Prob. 18CRCh. 17.CR - Prob. 19CRCh. 17.CR - Prob. 20CR
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