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Maksim231197 [3]
2 years ago
12

Knox Inc. is deciding between the two dividend payment plans below: Year Plan A Plan B 1$3.00$0.50 2$3.05$1.75 3$3.10$3.25 4$3.1

5$6.80 Stockholders are expected to discount Plan A by 15% and Plan B by 10%. Based upon the present value of the future dividends, which plan will the stockholders prefer?
Business
1 answer:
maks197457 [2]2 years ago
6 0

Plan B will be preferred

<u>Explanation:</u>

<u>year     Plan A           Discount (15%) Present value </u>

1        $3                   0.8695           $2.3085

2     $3.05                   0.7561           $2.306105

3      $3.10                      0.6575     $2.03825

4    $3.15                     0.5718           $1.80117

 total                                         $8.754025

<u>Year Plan B Discount (10%) Present value </u>

1        $0.5                0.9090         0.4545

2        $1.75      0.8264          1.4462

3       $3.25        0.7513       2.4417

4       $6.80          0.6230      4.644

         total                                  $8.9870

Thus, from the above calculation, it is clear that investment in plan B will be more fruitful as it will yield more amount of money as has been calculated by present value method.

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Suppose that market demand is Q = 660 – 12P and marginal cost is MC = 5. The consumer surplus in a perfectly competitive market
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Answer: 15000; 3750

Explanation:

From the question,

Q = 660 – 12P

MC = 5

The consumer surplus in a perfectly competitive market will be:

P = MC

Therefore, P = 5

Q = 660 - 12P = 660 - 12(5) = 660 - 60 = 600

Consumer surplus = 1/2 × (55 - 5) (600)

= 1/2 × 50 × 600

= 15,000

For monopoly, MR = MC

Total Revenue = P × Q

Since Q= 660 - 12P

P = (660 - Q)/12

TR = P × Q

= (660 - Q)/12 × Q

= (660Q- Q²)/12 × Q

MR = (660 - 2Q)/12

MR = MC

(660 - 2Q)/12 = 5

(660 - 2Q) = 5 × 12

660 - 2Q = 60

2Q = 660 - 60

2Q = 600

Q = 600/2

Q= 300

Since P =(660 - Q)/12

= (660 - 300)/12

= 360/12

= 30

Consumer surplus = 1/2 × (55 - 30) (30)

= 1/2 × 25 × 300

= 3750

Therefore, the answer is 15000; 3750

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I hope it helped you!
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