
02202013, 10:47 AM  #16 
Supporter
Join Date: Apr 2004
Location: North Central Kansas
Casino cash: $16874


Posts: 9,702

02202013, 10:49 AM  #17 
MVP
Join Date: Nov 2011
Casino cash: $5000


Posts: 7,171

02202013, 10:49 AM  #18 
First Overall
Join Date: Jan 2011
Location: kcmo
Casino cash: $7371

__________________
The Greatest 
Posts: 10,581

02202013, 10:52 AM  #19 
Beloved & Awesome CP Celebrity
Join Date: Aug 2000
Location: Florida
Casino cash: $12758

There are multiple solutions, but a mix of:
1  0.575262544 2  0 3  0.252042008 4  0.172695448 Gives an ER of 0.065. Solver is your friend. You have 4 unknowns, 2 equations, and conditions on the 4 unknowns.
__________________

Posts: 33,977

02202013, 10:54 AM  #20 
MVP
Join Date: Nov 2011
Casino cash: $5000


Posts: 7,171

02202013, 10:57 AM  #21  
Beloved & Awesome CP Celebrity
Join Date: Aug 2000
Location: Florida
Casino cash: $12758

Quote:
Your 2nd equation is A + B + C + D = 1.
__________________


Posts: 33,977

02202013, 11:53 AM  #22 
Starter
Join Date: Apr 2005
Location: Springfield, MO
Casino cash: $12021

You can use a mix of Investment 1 & I3 or I4 then a mix of I2 plus I3 or I4. That gives you 4 mixes. You can combine any of those solutions to make a fifth.
Use xI1 + (1x)I3=.65 solve for x. Substitute any 2 investment options above and below target. 
Posts: 346

02202013, 12:14 PM  #23 
Veteran
Join Date: Nov 2007
Location: Denver
Casino cash: $5958

It's just a question of weighted averages. You must have at least one of the investments that are higher than 6.5 and at least one of the investments that are less than 6.5. To actually solve this you need more information about total dollars invested, the maximum number of individual investments that can be made or a ratio of dollars invested between funds.

Posts: 1,351

02202013, 02:36 PM  #24 
MVP
Join Date: Aug 2000
Location: Northern Kansas
Casino cash: $12059

If you just average your 4 percentages, you are close to begin with at 6.4%.
So let's say you invest $4000. 25%, or $1000, at each of the 4 rates.... 1000 at 8.5% = 85.00 1000 at 9.2% = 92.00 1000 at 3.1% = 31.00 1000 at 4.8% = 48.00 for a total of 256.00. 256.00/4000 = .064 = 6.4% 260.00/4000 = .065 = 6.5% So therefore you need to find a way to get $4.00 more back on you investment. I'm going to use the 9.2% and the 4.8% and the 1000.00 at each rate We made 140 dollars at those two rates combined. We need 144 dollars to get to 260 dollars. X = amount invested at 9.2% 2000  X = amount invested at 4.8% .092X + .048(2000  X) = 144.00 .092X + 96.00  .048X = 144.00 .044X = 144.00  96.00 .044X = 48.00 X = 48.00/.044 X = 1090.91 2000  1090.91 = 909.09 What percent of 1000 is 1090.91? 109.1% 109.1% of your original investment, which was 25%, is 25 times 1.091 = 27.275 What percent of 1000 is 909.09? 90.9% 90.9% of you original investment, which was 25%, is 25 times .909 = 22.725 So, your your percentages to be invested at each rate to give you a 6.5% return... 25% of your money at 8.5% 25% of your money at 3.1% 27.275% of your money at 9.2% 22.725% of your money at 4.8% This is just one solution, but it will work for any amount that you choose to invest. Last edited by Coogs; 02202013 at 06:53 PM.. 
Posts: 17,747

02202013, 02:36 PM  #25 
Resident Glue Sniffer
Join Date: Nov 2003
Location: Overland Park
Casino cash: $25486

reading through this thread makes me realize how stupid I am.
__________________
Life is 99% inspiration, 1% Perspiration, and 1% Attention to Detial. 
Posts: 27,905

02202013, 02:47 PM  #26 
We Ready
Join Date: Jul 2005
Casino cash: $40900

You're making this too hard. You don't have to blend all four. It's a lot easier to blend 2 and put it into a simple algebraic equation.
For example, you can use holdings 1 (x) and 3 (y). x(8.5) + y(3.1) = 6.5% is your equation. Now, you have to express x in terms of y. Because x+y= 100% (1.00) of your investment, x=1.00y Now, you rewrite the equation with only the y variable: (1y)(8.5)+y(3.1)=6.5 Do the multiplication: 8.58.5y+3.1y=6.5 Simplify further 8.55.4y=6.5 Subtract 6.5 from both sides of the equation 25.4y=0 Add 5.4y to both sides 2=5.4y Divide both sides by 5.4 to solve for y .37=y 37% of your investment should be in y. The rest (1y) should be in x. Check your work: .37(.031)+.63(.085)=.065 
Posts: 36,149

02202013, 02:53 PM  #27 
MVP
Join Date: Nov 2011
Casino cash: $5000


Posts: 7,171

02202013, 02:54 PM  #28 
Caralho
Join Date: Sep 2011
Casino cash: $19160

Yikes.

Posts: 16,607

02202013, 02:56 PM  #29 
Resident Glue Sniffer
Join Date: Nov 2003
Location: Overland Park
Casino cash: $25486

no joke there.
my wifre is a wiz at math; but hates history. I k now enough math do do my taxes and balance a checkbook.
__________________
Life is 99% inspiration, 1% Perspiration, and 1% Attention to Detial. 
Posts: 27,905

02202013, 02:58 PM  #30 
Wasted away again...
Join Date: Aug 2000
Location: in Margaritaville
Casino cash: $10136121

The answer is....
4?
__________________
. . 
Posts: 34,533

Thread Tools  
Display Modes  

