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Old 02-20-2013, 10:30 AM  
La literatura La literatura is offline
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Smart People: Help me do math homework

How would a person begin to answer this problem?

Quote:
What mix or set of mixes of these individual assets will provide a 6.5% return?

Name
Expected Return
Holding 1
8.50%
Holding 2
9.20%
Holding 3
3.10%
Holding 4
4.80%
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Old 02-20-2013, 10:31 AM   #2
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Old 02-20-2013, 10:36 AM   #3
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Would you not have to know the amount to be invested first?
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Old 02-20-2013, 10:40 AM   #4
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Investing in 50% of the 8.5%, 20% of the 9.2 and 30% of the 3.1 would give you a 6.82% projected return....is that what you're after?
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Old 02-20-2013, 10:41 AM   #5
La literatura La literatura is offline
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Quote:
Originally Posted by Old Dog View Post
Would you not have to know the amount to be invested first?
Well, we can make up any number. Let's say I have $100K.
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Old 02-20-2013, 10:41 AM   #6
seclark seclark is offline
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Old 02-20-2013, 10:42 AM   #7
La literatura La literatura is offline
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Quote:
Originally Posted by Old Dog View Post
Investing in 50% of the 8.5%, 20% of the 9.2 and 30% of the 3.1 would give you a 6.82% projected return....is that what you're after?
Mostly I'm trying to figure out how you came up with that answer, and how I can come up with other answers.
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Old 02-20-2013, 10:43 AM   #8
Canofbier Canofbier is offline
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Unless this is multiple choice or there are at least three more constraints (equations), I'm pretty sure there is more than one solution to this problem. As it is, this is all we have to work with:

A(1.085)+B(1.092)+C(1.031)+D(1.048)=1.065
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Old 02-20-2013, 10:44 AM   #9
La literatura La literatura is offline
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Quote:
Originally Posted by Canofbier View Post
Unless this is multiple choice or there are at least three more constraints, I'm pretty sure there are an infinite number of solutions to this problem. As it is, this is all we have to work with:

A(1.085)+B(1.092)+C(1.031)+D(1.048)=1.065
That's right, there are infinite number of solutions. I want to put together at least 5 options.
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Old 02-20-2013, 10:45 AM   #10
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Quote:
Originally Posted by La literatura View Post
Well, we can make up any number. Let's say I have $100K.
Yeah, I guess that was not relevant.....I should have left it to the smart people.
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Old 02-20-2013, 10:45 AM   #11
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Old 02-20-2013, 10:46 AM   #12
La literatura La literatura is offline
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Quote:
Originally Posted by Canofbier View Post
Unless this is multiple choice or there are at least three more constraints (equations), I'm pretty sure there is more than one solution to this problem. As it is, this is all we have to work with:

A(1.085)+B(1.092)+C(1.031)+D(1.048)=1.065
So now I just get to plug in numbers for A, B, C, and D?
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Old 02-20-2013, 10:46 AM   #13
Canofbier Canofbier is offline
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Quote:
Originally Posted by La literatura View Post
That's right, there are infinite number of solutions. I want to put together at least 5 options.
Okay, then go to this website and go wild filling in the letters in the equation I included.
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Old 02-20-2013, 10:47 AM   #14
Dayze Dayze is offline
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Old 02-20-2013, 10:47 AM   #15
Canofbier Canofbier is offline
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Quote:
Originally Posted by La literatura View Post
So now I just get to plug in numbers for A, B, C, and D?
Yep. If you want a discrete solution, fill in 3 of them and leave the fourth as a variable, and Wolfram will calculate it.
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