Understanding Present Value

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Questions and Answers

How does increasing the delay in receiving a future cash payment affect its present value, assuming other factors remain constant?

  • The present value remains unchanged.
  • The present value increases linearly with the delay.
  • The present value decreases. (correct)
  • The present value increases exponentially with the delay.

What is the primary purpose of discounting in financial analysis?

  • To inflate future cash flows to account for inflation.
  • To calculate the simple interest earned on an investment.
  • To determine the present value of a future sum of money. (correct)
  • To determine the future value of a present investment.

Which type of interest is used when calculating present values?

  • Compound interest (correct)
  • Simple interest
  • Nominal interest
  • Prime interest

Assuming a constant interest rate, how does the present value of a future payment change if the interest rate increases?

<p>The present value decreases. (B)</p> Signup and view all the answers

What happens to the future value of $1 invested with compound interest as time passes?

<p>It increases. (B)</p> Signup and view all the answers

You have the option to receive $1,000 either one year from now or two years from now. Assuming a positive discount rate, which option has a higher present value?

<p>Receiving $1,000 one year from now. (A)</p> Signup and view all the answers

If two investments have the same future value, but one requires waiting twice as long to receive the payment, how do their present values compare?

<p>The present value of the shorter-wait investment is higher. (A)</p> Signup and view all the answers

Which scenario would result in the lowest present value, assuming all other factors are equal?

<p>Receiving $500 in two years with a 10% discount rate. (B)</p> Signup and view all the answers

What is the relationship between the time you must wait for money and its present value?

<p>The longer you wait, the less it's worth today. (B)</p> Signup and view all the answers

What is the effect of an increase in time on the future value of $1 invested with compound interest, all other factors being equal?

<p>It increases. (C)</p> Signup and view all the answers

Flashcards

Discounting

Finding the present value of a future sum by accounting for the time value of money.

Present Value (PV)

The current worth of a future sum of money, given a specified rate of return.

Present Value vs. Time

Present values decrease as the time until the payment increases.

PV and Compound Interest

Present values are calculated using compound interest principles.

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Study Notes

  • Present value is calculated by discounting future value at the interest rate i for the number of periods until payment.
  • Discounting determines the present value (PV) of a future sum.
  • Present values are always calculated using compound interest.
  • The future value of $1 invested with compound interest increases over time.
  • Present values decline when future cash payments are delayed.
  • The longer the wait for money, the less it is worth today.

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