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What rate of return in the second year of an investment will wipe out a 50% gain in the first year?

2006-09-28 11:46:25 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

-33 1/3%

2006-09-28 11:50:17 · answer #1 · answered by ADF 5 · 0 0

An example might help.

You have $100, which grows to $150 (a 50% gain!).

If $150 would get cut back to $100, it would be a loss of a third, so the loss is -33 1/3 %/

2006-09-28 18:59:52 · answer #2 · answered by Polymath 5 · 0 0

look at it like this...if something is $100 and increases 50%...then it's $150....to go back to the original price $100 then it must fall $50....50/150= 1/3.. Hope this helps.

2006-09-28 19:06:45 · answer #3 · answered by CHAZ2006 3 · 0 0

(1+first year return) * (1+second year return) = (1 + total return)

( 1 + .5) ( 1 + x) = (1 + 0)
1+x = 2/3
x = -1/3 or -33.3%

2006-09-28 18:53:29 · answer #4 · answered by Anonymous · 0 0

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