Kathy Myers frequently purchases stocks and bonds, but she is uncertain how to determine the rate of return that she is earning. For example, three years ago she paid $27,000 for 1,010 shares of Malti Company’s common stock. She received a $879 cash dividend on the stock at the end of each year for three years. At the end of three years, she sold the stock for $25,000. Kathy would like to earn a return of at least 7% on all of her investments. She is not sure whether the Malti Company stock provided a 7% return and would like some help with the necessary computations. (Ignore income taxes.)
In this case net present value of investment using discount rate of 7% would be calculated to determine whether company's stock provides 7% return | |||||||||||
Calculate net present value of investment | |||||||||||
Year | Cash flow | Discount factor @ 7% | Present value | ||||||||
0 | -$27,000 | 1.00000 | 1/(1.07^0) | -$27,000.00 | |||||||
1 | $879 | 0.93458 | 1/(1.07^1) | $821.50 | |||||||
2 | $879 | 0.87344 | 1/(1.07^2) | $767.75 | |||||||
3 | $879 | 0.81630 | 1/(1.07^3) | $717.53 | |||||||
3 | $25,000 | 0.81630 | 1/(1.07^3) | $20,407.45 | |||||||
-$4,285.78 | |||||||||||
The net present value is negative which means Kathy's stock investment is not providing return of 7% | |||||||||||
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