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You Are Considering Two Annuities,both of Which Pay a Total

question 129

Essay

You are considering two annuities,both of which pay a total of $20,000 over the life of the annuity.Annuity A pays $2,000 at the end of each year for the next 10 years.Annuity B pays $1,000 at the end of each year for the next 20 years.Which annuity has the greater value today?
Is there any circumstance where the two annuities would have equal values as of today?
Explain.


Definitions:

Seasonal Variation

Fluctuations in data or activity that occur at regular intervals over a year due to seasonal factors.

Random Variation

Natural fluctuations in the data occurring due to chance variations, which are inherent in any process or measurement.

Error Term

Represents the component of an observed variable that is not explained by the model used to estimate the variable, capturing the random variability in the data.

Time Trend

A pattern or direction in data that shows movement over a period of time.

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