In the context of present value calculations, how does the time horizon of an ordinary annuity differ from that of a perpetuity?

If a loan has an APR of [annualPercentageRate]% compounded monthly, what would be the approximate EAR?

What is the present value of $[futureValue] to be received in [timeYears] years, discounted at [discountRate]% annually?

How does an increase in interest rates affect the future value of an investment, assuming all other factors remain constant?

In the context of savings accounts, how does comparing EAR instead of APR benefit the consumer?

In which scenario would the difference between APR and EAR be most significant?

What is the future value of $[principalAmount] invested for [timeYears] years at a [interestRate]% annually compounded interest rate?

Tom is presented with an opportunity to invest in an exciting new venture being started by his favorite TikTok star @CatPidgeon. To access this exciting, once in a lifetime opportunity, Tom would need to pay $60,000 upfront, followed by additional investments of $1,000 at the end of each month. @CatPidgeon has said that investors could make as much as $500,000 at the end of 5 years when they go public (although it’s not guaranteed, but hey – what is in life!). If Tom does get this glorious outcome, what is his annualized rate of return?

Calculate the final value of an investment of $[principalAmount] that compounds annually at [interestRate1]% for [time1] years and then at [interestRate2]% for another [time2] years.

Which of the following scenarios would result in the highest Present Value?