$287.64
Calculate the interest for each year, then add it to the principal for the next year.
Year 1: 250 * .06 = 15
New balance 250+15 = 265
Year 2: 265 * .07 = 18.55
New Balance 265+ 18.55 = 283.55
Year 3: 283.55 * .08 = 22.68
New Balance 265+ 22.68 =287.64
As per the given figure, after calculating the accumulated amount, the figure that has been arrived is $1,232.
<h3>What is the accumulated amount?</h3>
Accumulated value or accumulated amount, both are synonyms. It is used to refer to the cash value. Basically, this means there is an easy way of calculating the accumulated value.
All one has to do is to find the total or the sum of the initial investment and, in that addition, the interest which has been earned till date will be added. Formula for calculating the simple interest is
Accumulated amount =Principal amount (1+rate * time)
Here Principal amount = $800, rate= 0.06, time=9 months
Accumulated amount = 800 (1+(0.06*9) = 800 (1+ 0.54 ) = $1,232.
Thus, the accumulated amount for the given data is $1,232.
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Answer:
60.06%
Explanation:
For each of the amounts first of all we get the z values.
For $32,000 z= (Amount - Mean)/Standard deviation
z= (32,000- 40,000)/5,000= -1.6
For $42,000, z= (42,000- 40,000)/5,000
z= 0.4
Using probability tables to find the proportion of commission between 0.4 and -1.6, we will need to add 0.4452 and 0.1554.
This gives 0.6006= 60.06%
So the salesperson earns 60.06% commission between $32,000 and $42,000.
Answer:
B) Cannibalization occurs when the sales of a new brand take away from sales of an existing brand. Whenever a firm sells a new product it must look out for cannibalization. Michael's new mp3 players are cannibalizing the sales of his old players.
Explanation:
Market cannibalization occurs when a company's new product line crowds out the existing market for its current products, rather than expanding the company's market base as originally intended. In other words, rather than appealing to an additional segment of the market, a new product line appeals to the company's current market, reducing the demand for its established products. In this respect, market cannibalization is an instance in which a company's own two product lines compete against one another.
Answer:
<em>Miller-bond</em>:
today: $ 1,167.68
after 1-year: $ 1,157.74
after 3 year: $ 1,136.03
after 7-year: $ 1,084.25
after 11-year: $ 1,018.87
at maturity: $ 1,000.00
<em>Modigliani-bond:</em>
today: $ 847.53
after 1-year: $ 855.49
after 3 year: $ 873.41
after 7-year: $ 918.89
after 11-year: $ 981.14
at maturity: $ 1,000.00
Explanation:
We need to solve for the present value of the coupon payment and maturity of each bonds:
<em><u>Miller:</u></em>
C 80.000
time 12
rate 0.06
PV $670.7075
Maturity 1,000.00
time 12.00
rate 0.06
PV 496.97
PV c $670.7075
PV m $496.9694
Total $1,167.6769
<em>In few years ahead we can capitalize the bod and subtract the coupon payment</em>
<u>after a year:</u>
1.167.669 x (1.06) - 80 = $1,157.7375
<u>after three-year:</u>
1,157.74 x 1.06^2 - 80*1.06 - 80 = 1136.033855
If we are far away then, it is better to re do the main formula
<u>after 7-years:</u>
C 80.000
time 5
rate 0.06
PV $336.9891
Maturity 1,000.00
time 5.00
rate 0.06
PV $747.26
PV c $336.9891
PV m $747.2582
Total $1,084.2473
<u />
<u>1 year before maturity:</u>
last coupon payment + maturity
1,080 /1.06 = 1.018,8679 = 1,018.87
For the Modigliani bond, we repeat the same procedure.
PV
C 30.000
time 24
rate 0.04
PV $457.4089
Maturity 1,000.00
time 24.00
rate 0.04
PV 390.12
PV c $457.4089
PV m $390.1215
Total $847.5304
And we repeat the procedure for other years