
Explanation:
The correct answer is D. 0.1288.
Solution using continuous compounding:
Future value = Present Value × e^(R×T)
Where R is the continuously compounded rate of interest, and T is the time to maturity.
91` = 80e^{R \times 1}e^R = \frac{91}{80}R = \ln\left(\frac{91}{80}\right) = 0.12883$$
Alternative calculation:
Holding period return = S_T / S_0 − 1
= $91 / $80 − 1
= 1.1375 − 1 = 13.75%
Continuous Return = ln(1 + i) = ln(1 + 13.75%) = 0.12883
Therefore, the continuously compounded return is approximately 0.1288 (or 12.88%).
Q.3533 Stock IIK is currently selling for $80. The 28 analysts offering 12-month price targets for IIK have a median target of $91. Given that the stock reaches the median target of $91 in 12 months, what is the continuously compounded return of this asset?
A
0.1375
B
0.1198
C
0.1319
D
0.1288
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