The stocks of CK Tan's, Robertson's, and Tamashimaya are held by the hedge fund SSK. They hold an equally weighted portfolio. The end-of month prices of the stock during five months this year is given as
a) Calculate the simple monthly returns of the three stocks. Calculate the log returns.
b) Using answers of a), what is the return of the hedge fund SSK for each month?
c) Calculate the five-month returns of the three stocks and the hedge fund, respectively. Discuss which returns you would add up.
Would appreciate if someone could verify my workings as I'm unsure.
June returns = (10%+12%+4%)/3 = 8.67%
July returns = -17.69%
August returns = -2.59%
c) For the 3 stocks, the monthly log returns are summed to derive the 5-month returns. The hedge fun returns are calculated by summing the log values of b)
CK Tan's = 9.53% - 20.07% + 10.54% + 18.23% = 18.23%
Robertson's = 27.76%
Takashimaya = -91.63%
Hedge fund = ln(8.67%) + ln(-17.69%) + ln(-2.59%) (This is the part I doubt the most)
Hedge fund = ln(8.67%- 17.69%- 2.59%)
Hedge fund = 5.98%