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Need help urgently; it's financial math! Will fan and medal anyone who can help!

Finance
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DAY STOCK TICKER HIGH CLOSE 1 Ferber Inc FER 24.76 19.25 2 Ferber Inc FER 25.16 19.87 3 Ferber Inc FER 26.81 20.19 4 Ferber Inc FER 25.90 21.17 5 Ferber Inc FER 26.05 22.43 Suppose you purchased 87 shares of Ferber stock on Day 1 at the high price. What is the return on your investment, if you sold the stock on Day 5 at the high price? 4.95% 5.21% 16.52% 35.32%
@whpalmer4 So sorry to bother you but do you think you could help me with this one too? You were extremely helpful in the other question and I actually understood it
okay, what is your basis (cost) for the Ferber stock if you bought 87 shares at the Day 1 high?

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there's a shortcut you can take in this problem, by the way, but I'll wait until we've done the whole thing the "long" way to tell you
24.76
Or do I multiply 24.76 by 87 ?
okay, that's the basis for 1 share, but you bought 87 of them, right?
you've stumbled across the shortcut: if we buy and sell the same quantity of shares, all we have to is figure out the percentage change of the share price. this does NOT work if we don't have the same number of shares bought and sold...
24.76 * 87 = 2,154.12
Right. And if she sells at the high price on Day 5, how much does she receive?
I'm not sure how to do that math, do I divide it or multiply and then subtract or something else?
what is the high price on day 5?
26.05
so, if she sells 87 shares at 26.05, how much does she receive?
She would receive $2,266.35
Okay. How much of a percentage increase is $2266.35 over 2154.12?
I know the monetary difference is $115.23 but I'm not sure how to see the percentage increase
okay, to find the percentage change between \(a\) and \(b\), \[\text{% change} = \frac{b-a}{a} * 100\%\] For example, if you go from 10 to 11: \[\frac{11-10}{10}*100\% = 10\%\]
And to check, if you compute \(10\%\) of \(10\), that's \(1\), so increasing \(10\) by \(10\%\) gives you \(10+1 = 11\) just as we would expect from my example.
might be easier to remember as \[\text{% change} = \frac{finish - start}{start} * 100\%\]
So B is 2,266.35 and A is 2,154.12 correct? So 2,266.35-2,154.12 = 115.23 and that divided by 2,154.12 = 0.05349284 * 100% = 0.05349284
well, pretty close :-) 2266.35-2154.12 = 115.23 115.23/2154.12 = 0.0521 multiply that by 100% and you get 5.21%
So the answer is 5.21%? Thank you so much once again for your patience and help!
sorry, 112.23, not 115.23 yes, the answer is 5.21%. Notice that we could get there more quickly by simply computing the percentage change of the share price: \[\frac{26.05-24.76}{24.76}*100\% = 5.21\% \]
but that works only if you have the same number of shares!
If you had a more complicated problem, say Suzy buys 100 shares at $10, and sells 70 shares at $20, and the shares are now valued at $25, how much is the total return on her investment? there you could not use the shortcut, because some of the shares are sold at a different price, and some of them aren't sold at all. value of her investment at the end would be 70*20 + (100-70)*25 = 1400+750 = 2150 return is 2150-100*10 = 1150 which is \[\frac{2150-1000}{1000} *100\%= 11.5\%\] (and 11.5% is not the amount the price went up!)

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