Question

In: Finance

You are considering the purchase of a certain stock. You expect to own the stock for...

You are considering the purchase of a certain stock. You expect to own the stock for the next four years. The current market price of the stock is $24.50 and you expect to sell it for $55 in four years. You also expect the stock to pay an annual dividend of $1.25 at the end of year 1, $1.35 at the end of year 2, $1.45 at the end of year 3 and $1.55 at the end of year 4. What is your expected return from this investment?

Solutions

Expert Solution

20.00% 28%
NPV@ 0.2 PV@ 0.28
Year Cash flow PV factor PV-Cash flow PV factor PV-Cash flow
0        (24.50) 1.000       (24.50) 1.000       (24.50)
1            1.25 0.833          1.04 0.781          0.98
2            1.35 0.694          0.94 0.610          0.82
3            1.45 0.579          0.84 0.477          0.69
4            1.55 0.482          0.75 0.373          0.58
4         55.00 0.482        26.52 0.373        20.49
Total PV          5.59 Total FV         (0.94)
Expected return =Lower rate + Difference in rates*(NPV at lower rate)/(Lower rate NPV-Higher rate NPV)
'=0.2+ (0.28-0.2)*(5.5896/(5.5896-(-0.941)
26.85%

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