Nonconstant Growth Stock Valuation Reizenstein Technologies (RT) has just developed a solar panel capable of generating 200%...

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Nonconstant Growth Stock Valuation

Reizenstein Technologies (RT) has just developed a solar panelcapable of generating 200% more electricity than any solar panelcurrently on the market. As a result, RT is expected to experiencea 16% annual growth rate for the next 5 years. By the end of 5years, other firms will have developed comparable technology, andRT's growth rate will slow to 5% per year indefinitely.Stockholders require a return of 11% on RT's stock. The most recentannual dividend (D0), which was paid yesterday, was$2.40 per share.

(2) Calculate the estimated intrinsic value ofthe stock today,  . Proceed by finding the present valueof the dividends expected at t = 1, t = 2, t = 3, t = 4, and t = 5plus the present value of the stock price that should exist at t =5,  . The  stock price can be found by usingthe constant growth equation. Note that to find  you usethe dividend expected at t = 6, which is 5% greater than the t = 5dividend. Round your answer to the nearest cent. Do not round yourintermediate computations.

(3) Calculate the expected dividend yield(D1/  ), the capital gains yield expectedduring the first year, and the expected total return (dividendyield plus capital gains yield) during the first year. (Assumethat  = P0, and recognize that the capitalgains yield is equal to the total return minus the dividendyield.). Round your answers to two decimal places. Do not roundyour intermediate computations.

Expected dividend yield%
Capital gains yield%
Expected total return%

Also calculate these same three yields for t = 5 (e.g.,D6/  ). Round your answers to two decimalplaces. Do not round your intermediate computations.

Expected dividend yield%
Capital gains yield%
Expected total return%

Answer & Explanation Solved by verified expert
3.6 Ratings (504 Votes)

Intrinsic value of the stock today=Present Value of future cash flows
Present value of future Cash Flow=(Cash flow)/((1+R)^N)
R=discount rate=required return=11% 0.11
N=Year of cash flow
D0 Recent dividend $2.40
g=annual growth rate for next 5 years=16% 0.16
D1=D0*(1+g) Dividend in year 1 $2.78
D2=D1*(1+g) Dividend in year 2 $3.23
D3=D2*(1+g) Dividend in year 3 $3.75
D4=D3*(1+g) Dividend in year 4 $4.35
D5=D4*(1+g) Dividend in year 5 $5.04
g1=Growth rate from year 6 indefinitely=5% 0.05
D6=D5*(1+g1) Dividend in year 6=5.04*1.05 $5.29
P5=D6/(R-g1) Price of stock in year 5=5.29/(0.11-0.05) $88.21
N CF PV=CF/(1.11^N)
Year Cash Flow Present Value
D1 1 $2.78 2.508108108
D2 2 $3.23 2.621085951
D3 3 $3.75 2.739152886
D4 4 $4.35 2.862538151
D5 5 $5.04 2.991481311
P5 5 $88.21 52.35092294
SUM 66.07328934
P0 Intrinsic value of the stock today $66.07
In Year 1
Expected Dividend Yield =D1/P0=2.78/66.07 4.21%
Capital Gains Yield 6.79%
Expected Total Return 11%
In Year 5
Expected Dividend Yield =D6/P5=5.29/88.21 6.00%
Capital Gains Yield 5.00%
Expected Total Return 11.00%

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Transcribed Image Text

Nonconstant Growth Stock ValuationReizenstein Technologies (RT) has just developed a solar panelcapable of generating 200% more electricity than any solar panelcurrently on the market. As a result, RT is expected to experiencea 16% annual growth rate for the next 5 years. By the end of 5years, other firms will have developed comparable technology, andRT's growth rate will slow to 5% per year indefinitely.Stockholders require a return of 11% on RT's stock. The most recentannual dividend (D0), which was paid yesterday, was$2.40 per share.(2) Calculate the estimated intrinsic value ofthe stock today,  . Proceed by finding the present valueof the dividends expected at t = 1, t = 2, t = 3, t = 4, and t = 5plus the present value of the stock price that should exist at t =5,  . The  stock price can be found by usingthe constant growth equation. Note that to find  you usethe dividend expected at t = 6, which is 5% greater than the t = 5dividend. Round your answer to the nearest cent. Do not round yourintermediate computations.(3) Calculate the expected dividend yield(D1/  ), the capital gains yield expectedduring the first year, and the expected total return (dividendyield plus capital gains yield) during the first year. (Assumethat  = P0, and recognize that the capitalgains yield is equal to the total return minus the dividendyield.). Round your answers to two decimal places. Do not roundyour intermediate computations.Expected dividend yield%Capital gains yield%Expected total return%Also calculate these same three yields for t = 5 (e.g.,D6/  ). Round your answers to two decimalplaces. Do not round your intermediate computations.Expected dividend yield%Capital gains yield%Expected total return%

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