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Harlamova29_29 [7]
3 years ago
13

A firm pays a current dividend of $1, which is expected to grow at a rate of 5% indefinitely. If the current value of the firm’s

shares is $35, what is the required return applicable to the investment based on the constant-growth dividend discount model (DDM)? (Do not round intermediate calculations.)
Business
1 answer:
ArbitrLikvidat [17]3 years ago
6 0

Answer:

Required rate of return = 8%

Explanation:

<em>The price of a stock using the dividend valuation model is the present value of the the future dividend expected from the stock discounted at the required rate of return. </em>

This model is represented as follows

D(1+g)/(r-g) = P

Price, D- dividend payable in now, ke- required rate of return, g- growth rate

35 = 1×(1.05)/ke-0.05

35 × (ke-0.05) = 1.05

35ke - 1.75 = 1.05

35Ke = 1.05 + 1.75

35ke = 2.8

ke= 2.8/35= 0.08

Ke = 0.08× 100 = 8%

Required rate of return = 8%

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Answer:

a. rate or return bond 1 <u>6.6%</u> bond 2 <u>7.71%</u>

b. Does the higher-coupon bond give a higher rate of return? <u>yes</u>

Explanation:

bond 1 has a coupon rate of 5.4%

bond 2 has a coupon rate of 8.2%

yield to maturity formula = {C + [(Face value - market value) / n]} / [(Face value + market value) / 2]

assume bond 1's face value = $1,000

coupon = 54

n = 13

YTM = 7.5%

0.075 = {54 + [(1,000 - M) / 13]} / [(1,000 + M) / 2]

0.075 x  [(1,000 + M) / 2] = 54 +  [(1,000 - M) / 13]

0.075 x (500 + 0.5M) = 54 + 76.92 - 0.0769M

37.50 + 0.0375M = 130.92 - 0.0769M

0.0375M + 0.0769M = 130.92 - 37.50

0.1144M = 93.42

M = 93.42 / 0.1142 = $818.04

rate of return = $54 / $818.04 = 0.066 = 6.6%

assume bond 2's face value = $1,000

coupon = 82

n = 13

YTM = 7.5%

0.075 = {82 + [(1,000 - M) / 13]} / [(1,000 + M) / 2]

0.075 x  [(1,000 + M) / 2] = 82 +  [(1,000 - M) / 13]

0.075 x (500 + 0.5M) = 82 + 76.92 - 0.0769M

37.50 + 0.0375M = 158.92 - 0.0769M

0.0375M + 0.0769M = 158.92 - 37.50

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1      Wages of Assembly                Yes       No         Yes         No

2     Deprecation of plant &            No      Yes         No         Yes

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Manufacturing Cost Per Machine Hour = 16.80

ii.  Particular                    Amount

Raw Material                     $6,240

Direct Labor Cost              <u>$9,165</u>

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(780 hours* $16.80)           <u>              </u>

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