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Old 09-06-2008, 2:03 PM   #1
MSE Lawrence
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Default Money Quiz: Can you work it out? Poll results/discussion

Poll started 09 June 08

Money Quiz: Can you work it out?

The question looks simple, but I did it as a poll a few years ago and less than one in three people got it right – will you? The correct answer will be in next week’s MoneySaving E-mail

Which of these would give you the best return?

A. Stockmarket rises 10% a year for 5 years then drops 10% a year for 5 years. - 24% (1272 votes)
B. Stockmarket falls 10% a year for 5 years then rises 10% a year for 5 years. - 20% (1055 votes)
C. Stockmarket stays the same. - 30% (1570 votes)
D. All are equal. - 26% (1386 votes)


Voting has now closed, but you can still click 'post reply' to discuss below.

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Last edited by MSE Lawrence; 16-06-2008 at 12:52 PM..
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Old 09-06-2008, 2:49 PM   #2
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This was more recent than a few years ago, wasn't it?
I'm sure I've seen it on here recently. Unless I followed a link, maybe?
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Old 09-06-2008, 2:51 PM   #3
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Quickly (admitting to using a calculator) I'd go for C



Gwlad heb iaith, gwlad heb galon
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Old 09-06-2008, 4:29 PM   #4
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Quote:
Originally Posted by JimmyTheWig View Post
This was more recent than a few years ago, wasn't it?
I'm sure I've seen it on here recently. Unless I followed a link, maybe?
You're right... I was reminded by the team that I revisited it about a year and a bit ago... but I've decided to leave it as its fun



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Old 09-06-2008, 5:30 PM   #5
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Quickly (admitting to using a calculator) I'd go for C
My calculator agrees
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Old 09-06-2008, 11:39 PM   #6
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Confucius say stock market like gambling, deck always stacked in dealers favor.

Answer: C
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Old 10-06-2008, 9:19 AM   #7
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Quote:
Originally Posted by teddyco View Post
Confucius say stock market like gambling, deck always stacked in dealers favor.

Answer: C
While I agree with your answer, I disagree with your statement. On average, over the long term, the stock market produces better returns than a savings account.
It is like gambling as it is not guaranteed, but the stock market "deck" is stacked in the investors favour.
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Old 10-06-2008, 1:17 PM   #8
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The answer's E: None of them give you any growth.
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Old 10-06-2008, 1:49 PM   #9
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Originally Posted by chardir View Post
The answer's E: None of them give you any growth.
Depends on your definition of growth!

Last edited by JimmyTheWig; 10-06-2008 at 1:49 PM.. Reason: copyedit
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Old 10-06-2008, 2:29 PM   #10
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I've changed it to the best returns



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Old 10-06-2008, 2:34 PM   #11
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a) 95.099%
b) 95.099%
c) 100.00%

I went for D after trying to work it out in my head but actually it's C, isn't it...?



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Last edited by Phil; 10-06-2008 at 2:36 PM.. Reason: Formatting error
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Old 10-06-2008, 6:10 PM   #12
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Quote:
Originally Posted by Phil View Post
a) 95.099%
b) 95.099%
c) 100.00%

I went for D after trying to work it out in my head but actually it's C, isn't it...?
Got the same result putting 10000£ into Excel and letting them rise/fall, respectively fall/rise, at 10%. The result, £9509.90, is the same in both cases, at a 5% roughly.

Then figures don't lie; now someone tell me why. Because my mind keeps telling me that it shouldn't be like that and you should come out at 10k again either way round. Well, obviously not. But why? Geometrical progression and stuff...don't know.

---

Right, here's my shot. Mathematicians, get ready to crush me.


Let SA be the starting amount and BL the bottom line figure after 10 years.

Scenario A) BL = SA * 1.1^5 * 0.9^5 rise first, then fall
Scenario B) BL = SA * 0.9^5 * 1.1^5 fall first, then rise

With A or B, it does not matter in which order the rise or fall occur, due to the law of commutativity in multiplication. The result will be identical either way.

Hence for both scenarios BL = SA * 0.95099

The factor 1.1^5*0.9^5 = 0.95099 gives us the end amount of roughly 95% of any original investment. Since the factor is <1 , it's wiser to leave the money under the mattress, in which case that factor would be 1, same in, same out (at zero inflation).

Scenario C) BL = SA (money under the mattress)

So better off (no gain, no loss) with C.

Last edited by Schamansky; 10-06-2008 at 6:55 PM..
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Old 10-06-2008, 7:45 PM   #13
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Jimmythewig,

You are right, anything is better than a garden variety savings account.
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Old 10-06-2008, 8:40 PM   #14
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The answers I. The Icesave savings accounts



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Old 11-06-2008, 7:39 AM   #15
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Answer is C (not sure why some of you had to use a calculator though!)
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Old 11-06-2008, 8:39 AM   #16
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Answer is C

A&B are the same as each other and leave you over 1% off
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Old 11-06-2008, 8:44 AM   #17
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This is the exact reason that we all need to be careful when dealing in percentages.
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Old 11-06-2008, 8:56 AM   #18
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Quote:
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Then figures don't lie; now someone tell me why. Because my mind keeps telling me that it shouldn't be like that and you should come out at 10k again either way round.
Forget about all the years, that just adds complication. Shrink the problem to one year it goes down, the next year it goes up.
Lets make things even easier to understand and rather than a 10% change lets consider a 50% change.

Now, if you start with £100 and it goes down by 50% you have £50. If that goes up by 50% then you have £75. So you have lost out. (And the same would be true in the other order.)

The answer is that the inverse of +x% is not -x%.
+x% means multiply by (1+x/100). The inverse of this, then, is to divide by (1+x/100).
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Old 11-06-2008, 1:46 PM   #19
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An interesting argument, but has the market ever performed in this way?

I am new to this sort of thing, but isnt it the case that over time the value of the stock market, say FTSE100 has always increased at a greater rate than if the money was in a savings account, obviously with peaks/troughs. Therefore the value of your investment would only be less is you were to cash in your investments after 10 years rather than wait for a market recovery? Obviously if you have a fixed term investment, you'd be stuck!!
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Old 11-06-2008, 2:04 PM   #20
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An interesting argument, but has the market ever performed in this way?

I am new to this sort of thing, but isnt it the case that over time the value of the stock market, say FTSE100 has always increased at a greater rate than if the money was in a savings account, obviously with peaks/troughs. Therefore the value of your investment would only be less is you were to cash in your investments after 10 years rather than wait for a market recovery? Obviously if you have a fixed term investment, you'd be stuck!!
Has it performed exactly like this? I would be very surprised!
Have there been peaks and troughs? Yes, most certainly.
Have there been times when it is down to 95% of its former value. Yes.

I believe that the point of the question is to demonstrate the way percentages work and to be wary of risky investments.

I completely agree, though, (as per my earlier post) that over the long term the stock market should out-perform savings accounts.
So how about if the question were stock market rises by 20% a year for 5 years then stagnates (i.e. 0% rise) for 5 years vs stock market rises by 10% a year for 10 years?
I think this proves the same point whilst accepting ultimate growth.
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