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Shabnam is considering three alternatives to invest her surplus cash for a week. She wishes to guarantee maximum returns on her investment. She has three options, each of which can be utilized fully or partially in conjunction with others.

Option A: Invest in a public sector bank. It promises a return of $+0.10\%.$

Option B: Invest in mutual funds of ABC Ltd. A rise in stock market will result in a return of $+5\%,$ while a fall will entail a return of $-+3\%.$

Option C: Invest in mutual funds of CBA Ltd. A rise in stock market will result in a return of $-2.5\%,$ while a fall will entail a return of $-+2\%.$

What strategy will maximize the guaranteed return to Shabnam?

  1. $100\%$ in option A
  2. $36\%$ in option B and $64\%$ in option C
  3. $64\%$ in option B and $36\%$ in option C
  4. $1/3$ in each of the three options
  5. $30\%$ in option A, $32\%$ in option B and $38\%$ in option C
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