In: Finance
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
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%