Question

In: Finance

Ana has bought shares of RIO, Inc. stock for $25.00 per share. She expects a 1.00...

Ana has bought shares of RIO, Inc. stock for $25.00 per share. She expects a 1.00 dividend at the end of this year. After 2 years, she expects to receive a dividend of $1.25 and to sell the stock for $28.75. What is Ivonne's required rate of return? (I will not be using Excel for this problem, please show me how to do it with a calculator --show formula if possible

Solutions

Expert Solution

Required rate of Ret is the Rate at which PV of Cash Inflows are equal to Stock price.

Year Cf PVF @11% Disc CF PVF @12% Disc CF
0 $ -25.00     1.0000 $ -25.00     1.0000 $ -25.00
1 $      1.00     0.9009 $      0.90     0.8929 $      0.89
2 $      1.25     0.8116 $      1.01     0.7972 $      1.00
2 $   28.75     0.8116 $   23.33     0.7972 $   22.92
NPV $      0.25 $    -0.19

PVF = 1/(1+r)^n

Disc CF = CF * PVF

Req Rate = Rate at which least +_ve NPV + [ NPV at that Rate / Change in NPV due to 1% inc in DIsc rate ] * 1%

= 11% + [ 0.25 / 0.44 ] * 1%

= 11% + 0.57%

= 11.57%


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