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Consider the following data.
| Time | Price |
|---|---|
| 0 | 100 |
| 1 | 98 |
| 2 | 98 |
| 3 | 97 |
| 4 | 99 |
| 5 | P |
If the simple return for the 5th period is 1.75%, what is the value of p?
A
99.56
B
100.50
C
100.73
D
99.98
Explanation:
The simple return formula is:
Given that the simple return for the 5th period is 1.75% (0.0175), and the price at time 4 is 99, we can set up the equation:
0.01`75 = \frac{P - 99}{99}$$
Solving for P:
Therefore, the value of P is approximately 100.73, which corresponds to option C.