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Miranda would like to donate some money today to her alma mater to create a scholarship program that awards $5,000 annually to one worthy student. The first award will be made four months from today. If the annual percentage rate is 12% compounded monthly, how much must Miranda donate today if she wants the scholarship program to continue to award $5,000 annually forever, even after she is no longer around? (rounded to the nearest $)
X A: $41,667
X B: $45,199
X C: $42,691
X D: $39,424
X E: $44,492
Please let me know the correct option with proper step-by-step workings and explanations.
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