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Len [333]
2 years ago
5

Suppose you invest $500 in a stock mutual fund at the end of each month. When you retire at the end of your 35-year career, your

account is worth $4,000,000. What annual rate of return did you earn over the 35 years
Business
1 answer:
enot [183]2 years ago
8 0

Answer:

12.81%

Explanation:

PMT (The amoun you invest each month) is $500

n = 35 years = 35 x 12 = 420 months

Future value (FV) of your account in 35 years is $4,000,000

Present value (PV) = 0

i/r = ?

Inputting these values into financial calculator, we get:

i/r = 1.07%/month

--> Annual rate of return is 1.07% x 12 = 12.81%

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Show the total cost expression and calculate the EOQ for an item with holding cost rate 18%, unit cost $8.00, annual demand of 4
torisob [31]

Answer:

Total cost = Total ordering cost + Total holding cost

Total cost = DCo     + QH

                     Q              2

Where

D = Annual demand

Co = Ordering cost per order

Q = EOQ

H = Holding cost per item per annum

D = 40,000 units

Co = $48

H = 18% x $8.00 = $1.44

EOQ = √2DCo

                H

EOQ = √2 x 40,000 x $48

                     $1.44

EOQ = 1,633 units

Explanation:

EOQ equals 2 multiplied by annual demand and ordering cost divided by holding cost per item per annum. The holding cost per item per annum is calculated as holding cost rate multiplied by unit cost.

7 0
2 years ago
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal p
xenn [34]

Answer:

A) 964,286

B) 14

C) 750,000

Explanation:

The portfolios expected return = (0.5 x $70,000) + (0.5 x $200,000) = $35,000 + $100,000 = $135,000

If the risk free investment yields 6% per year, and you require a risk premium of 8%, then the total interest rate that the portfolio yields must be 6% + 8% = 14%

you will be willing to pay: $135,000 / 14% = $964,286 for the portfolio

if the risk premium increase by 4%, then the price of the portfolio will decrease to: $135,000 / 18% = $750,000

4 0
2 years ago
A company has an opening stock of 6,000 units of output. The production planned for the current period is 24,000 units and expec
Orlov [11]

Answer:

Explanation:

                                                Last year           Current year

Selling Price                      10                         10

Varaible Price                5                         6

Contribution Margin               5                               4

Break even is the point where total cost is equal to total revenue mean no profit and loss.

company earns the contribution margin after covering the variable cost, now only fix cost remains for break even.

Break Even using FIFO method :  first In first out system

Fix Cost                                                                            =     86000

contribution from opening units(6000*5)                            =     30000

Remaining Fix cost that should be Covered from

current year products                                                            =     56000

 

Units to be sold for break-even ( 56000/4)   = 14000

so we have break even units   6000+14000 = 20000

Fix cost                              = -86000

Opening 6000*5              = 30000

Current   14000*4             = 56000

Profit                                   = 0

Break Even using LIFO method : Last in first out

Fix Cost                                                                            =     86000

Break even =  Fix Cost / Contribution margin

Break even =  86000/4 =21500

current production is 24000 which is higher than break even units so we can cover the fix cost from current year production because company is using lifo method. we do not need opening units for the break even.

4 0
1 year ago
Perggy's Bakes, a bakery in New Orleans that exclusively sells its confectionery products online, makes its products only when i
Anastaziya [24]

Answer:

I feel like something is wrong in the question. Can you check it again?

Explanation:

7 0
2 years ago
You can now sell 70 cars per month at $35,000 per car, and demand is increasing at a rate of 4 cars per month each month. What i
Eduardwww [97]

Answer:

the fastest we could drop your price before your monthly revenue starts to drop is $2,000

Explanation:

Data provided in the question:

Cars sold per month, Q =  70 cars

Price of each car, P = $35,000

Rate of increase in demand, \frac{dQ}{dt} = 4 cars per month

Now,

Revenue, R = Price(P) × Quantity (Q)

Thus,

When monthly revenue starts to drop i.e \frac{dR}{dt} < 0

⇒ \frac{dR}{dt} = \frac{d(PQ)}{dt} < 0

or

⇒ P\frac{dP}{dt}+Q\frac{dQ}{dt} < 0

or

⇒ 70\times\frac{dP}{dt}+35,000\times4 < 0

or

⇒ 70\times\frac{dP}{dt} < - 140,000

or

\frac{dP}{dt} < - 2,000

Hence,

the fastest we could drop your price before your monthly revenue starts to drop is $2,000

7 0
1 year ago
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