On Monday, a company stock closed at a price of $30.80 per share. On Tuesday, it increased by $1.20 per share. On Wednesday, it fell by 6.25%. On Thursday, it fell by another 4%, and on Friday, it increased by 2.5%. What is the net change in the stock price from Monday to Friday?
then what is it
To determine the net change in the stock price from Monday to Friday, we need to calculate the individual changes for each day and then sum them up.
Step 1: Calculate the change on Tuesday:
The stock price increased by $1.20 per share on Tuesday.
Step 2: Calculate the change on Wednesday:
A fall of 6.25% means the stock price decreased by 6.25% of its value on Tuesday.
Change on Wednesday = 6.25% of ($30.80 + $1.20)
Step 3: Calculate the change on Thursday:
A fall of 4% means the stock price decreased by 4% of its value on Wednesday.
Change on Thursday = 4% of [($30.80 + $1.20) - (6.25% of ($30.80 + $1.20))]
Step 4: Calculate the change on Friday:
An increase of 2.5% means the stock price increased by 2.5% of its value on Thursday.
Change on Friday = 2.5% of [(($30.80 + $1.20) - (6.25% of ($30.80 + $1.20))) - (4% of [($30.80 + $1.20) - (6.25% of ($30.80 + $1.20))])]
Step 5: Calculate the net change:
Net change = [($30.80 + $1.20) + (Increase on Tuesday) - (Decrease on Wednesday) - (Decrease on Thursday) + (Increase on Friday)]
After performing the calculations, the net change in the stock price from Monday to Friday is the sum of the changes for each day.
To find the net change in the stock price from Monday to Friday, we need to calculate the total change in percentage and amount for each day and then combine them.
First, let's calculate the change in price for each day:
On Tuesday, the stock increased by $1.20 per share.
On Wednesday, the stock price fell by 6.25%. To find the decrease in price, we need to multiply $30.80 by 6.25% and subtract it from $30.80.
Decrease = $30.80 * 6.25% = $30.80 * 0.0625 = $1.925
New price on Wednesday = $30.80 - $1.925 = $28.875
On Thursday, the stock price fell by another 4%. To find the decrease in price, we need to multiply $28.875 by 4% and subtract it from $28.875.
Decrease = $28.875 * 4% = $28.875 * 0.04 = $1.155
New price on Thursday = $28.875 - $1.155 = $27.72
On Friday, the stock price increased by 2.5%. To find the increase in price, we need to multiply $27.72 by 2.5% and add it to $27.72.
Increase = $27.72 * 2.5% = $27.72 * 0.025 = $0.693
New price on Friday = $27.72 + $0.693 = $28.413
Now, let's calculate the net change in price:
Change from Monday to Tuesday = $1.20
Change from Tuesday to Wednesday = $28.875 - $30.80 = -$1.925
Change from Wednesday to Thursday = $27.72 - $28.875 = -$1.155
Change from Thursday to Friday = $28.413 - $27.72 = $0.693
Total net change = ($1.20) + (-$1.925) + (-$1.155) + $0.693 = -$1.192
Therefore, the net change in the stock price from Monday to Friday is a decrease of $1.192 per share.
30.8 + 1.2 = 32
32 (1-.0625) (1 - .04 )(1.025) = ? on Friday
then subtract 30.80