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You just won 200 000 $ in a lottery that you decide to invest. Your advisor suggests 3 possible options for a period of 5

You just won 200 000 $ in a lottery that you decide to invest. Your advisor suggests 3 possible options for a period of 5 years:

  1. A bank deposit for 5 years with the interest rate of 6% nominal, compound quarterly.
  2. A guaranteed loan which will be paid back during the 5 years with 60 consecutive monthly payments (end of month) at 7% compound semi-annually.
  3. A loan for 5 years at 6.5% compound semi-annually (The capital will be paid at the end of 5th year).

All periodical cash flows during 5 years will be re-invested as a deposit in a bank at 6% effective-annual.

  1. Which option is the best?
  2. Calculate the effective-annual rate of return of each option.
  3. Which nominal rate, compound quarterly should the bank deposit (in option 1) offer to make you feel indifferent between options 1 and 2?

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