payout probelm 17

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Question 17: MV of Little Oil ($m) 20 No.of shares (millions) 1 Price 20 Expected dividends ($m) 1 Expected growth 5% Planned dividends ($ millio 0 1 2 3 4 Orginal 1 1.05 1.1025 1.157625 Revised 2 1.05 1.1025 1.157625 p = D1/(ke-g) ke from the above 10.0% Share price next year 21 Return to investorDiv. 1 CG 1 Total gains (10% rate of re 2 (a) At what price will new shares be issued next year Required extra amount (mill 1 Firm value after the payout 21 PV of cash flows starting with $1.05 gr Share price with additional issue: Total number of shares 1+N Total value to be shar 21 Price per share 21=p*(1+N), however, p* x N = $ 1m the 21=p*+p*N 21=p*+1 Hence the price per share is ($) 20 (b) How may shares would be issued? No. of shares to be issued 50000 =1 million/20 No. of shares to be issued (millions) 0.05 Total number of shares 1.05 (c) Dividend payout on the old and new shares Dividend and valuations after the share issue: t 0 1 2 3 4 5 E(CF) old 1 1.05 1.1025 1.157625 1.215506 No. of shares existing (mil 1 1 1 1 1 DPS-existing 1 1.05 1.1025 1.157625 1.215506 Dividend to existing shares: No. of shares revised (mill 1 1.05 1.05 1.05 1.05 DPS-revised 2 1 1.05 1.1025 1.157625 Price existing PV of additional $1, but delayed gorwth Extra $2 after one-yea 1.82 Diff. in value of the -1.82 =1/1.05 x 1/1.1 - 1/1.05 = 20/1.1 - 20 Hence, gain = loss New shareholders price 20 =1/5%

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Questions-and-answers-modifiedQuestion 17:

MV of Little Oil ($m)20No.of shares (millions)1Price20Expected dividends ($m)1Expected growth 5%

Planned dividends ($ millions)012345Orginal 11.051.10251.1576251.21550625Revised21.051.10251.1576251.21550625

p = D1/(ke-g)ke from the above10.0%Share price next year21Return to investorDiv.1CG1Total gains (10% rate of return)2

(a)At what price will new shares be issued next year

Required extra amount (millions)1Firm value after the payout21PV of cash flows starting with $1.05 growing at 5%Share price with additional issue:Total number of shares:1+NTotal value to be shared21Price per share21=p*(1+N), however, p* x N = $ 1m the targeted amount 21=p*+p*N21=p*+1Hence the price per share is ($)20

(b)How may shares would be issued?

No. of shares to be issued 50000=1 million/20No. of shares to be issued (millions)0.05Total number of shares1.05

(c)Dividend payout on the old and new shares

Dividend and valuations after the share issue:

t012345E(CF) old 11.051.10251.1576251.21550625No. of shares existing (million)11111DPS-existing 11.051.10251.1576251.21550625

Dividend to existing shares:No. of shares revised (million)11.051.051.051.05DPS-revised211.051.10251.157625Price existing PV of additional $1, but delayed gorwth streamExtra $2 after one-year1.82Diff. in value of the delayed PV stream-1.82=1/1.05 x 1/1.1 - 1/1.05 = 20/1.1 - 20Hence, gain = lossNew shareholders price20=1/5%