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atroni [7]
3 years ago
11

Using the data set below, what would be the forecast for period 5 using the exponential smoothing method? Assume the forecast fo

r period 4 is 14000. Use a smoothing constant of α = 0.4 (Choose the closest answer.)
Period
Actual Demand
1 10000
2 12400
3 13250
4 14750
5 15220
6 18500

a. 12660
b. 13190
c. 14300
d. 15220
Business
1 answer:
elena55 [62]3 years ago
4 0

Answer:

The answer is C: 14300

Note: The actual answer is 14296, <em>and </em>the closest to that was option C.

Explanation:

Formula to calculate forecast using Exponential smoothing:

  •    F_{t} = F_{t-1} + \alpha ( A_{t-1} - F_{t-1} )

Where,

  • F_{t} = New Forecast
  • F_{t-1} = Previous period's forecast.
  • \alpha = Smoothing Constant
  • A_{t-1} = Previous period's Actual Demand.
  1. Calculating the forecast for period 5:

Data:

  • F_{5} = ?
  • F_{t-1} = 14000
  • \alpha = 0.4
  • A_{t-1} = 14750

Putting <em>values in the formula:</em>

F_{5} = 14000 + 0.4(14750-14000)

F_{5} = 14000 + 0.4 (740)

F_{5} = 14000 + 296

F_{5} = 14296

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2 years ago
Suppose you buy 100 shares of stock initially selling for $50, borrowing 25% of the necessary funds from your broker; that is, t
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Answer:

money invest is $3750

amount of loan owned to broker = $1350

when selling price is $40 rate of return = - 29.33%

when selling price is $50  rate of return = - 2.67%

when selling price is $60  rate of return = 24%

Explanation:

given data

No of share = 100

initial selling = $50

borrow = 25%

initial margin purchase = 25%

interest rate = 8%

to find out

How much money invest and How much borrow from broker and rate of return at end of 1 year at (i) $40, (ii) $50, (iii) $60

solution

we know total investment is here

total investment = No of share × initial selling per share

total investment = 100 × 50

total investment = $5000

so

borrow fund is = 0.25 × 5000 = $1250

and Equity invest = total investment - borrow fund

equity invest = 5000 - 1250 = $3750

and

amount of loan own to broker at the end of year is

amount of loan = borrow fund × ( 1 + rate )

amount of loan = 1250 ( 1 + 0.08)

amount of loan owned to broker = $1350

and

selling price here after 1 year is $40

so rate of return is = \frac{(no of share * selling price) -loan amount - equity invested}{equity invested}     ........................1

rate of return is = \frac{(100 * 40) - 1350 - 3750}{3750}

rate of return = - 29.33%

and

selling price here after 1 year is $50

put here value

rate of return is = \frac{(100 * 50) - 1350 - 3750}{3750}

rate of return = - 2.67%

and

selling price here after 1 year is $60 so from equation 1

put the value

rate of return is = \frac{(100 * 60) - 1350 - 3750}{3750}

rate of return = 24%

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