Money's Value: Time, Inflation & Interest Rates

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Questions and Answers

Why does money generally have a higher value today compared to the same amount in the future?

  • Future earnings are taxed at a higher rate.
  • The cost of goods and services always decreases over time.
  • Inflation always decreases the absolute value of money.
  • There is potential for earning interest or returns on money held today. (correct)

If you are indifferent between receiving €1000 today and a promise to receive €1050 in one year, what does this imply?

  • The interest rate is -5%.
  • The future value of €1050 is less than the present value of €1000.
  • The interest rate is 5%. (correct)
  • There is no time value of money.

What is the primary reason for the difference between the real and nominal interest rates?

  • Exchange rates.
  • Inflation. (correct)
  • Government policies.
  • Tax regulations.

What does the nominal interest rate represent?

<p>The rate of return in current monetary terms. (B)</p> Signup and view all the answers

If the nominal interest rate is 8% and the inflation rate is 3%, approximately what is the real interest rate?

<p>5% (C)</p> Signup and view all the answers

What is the significance of the 'time value of money' concept in financial decision-making?

<p>It emphasizes that money available today is worth more than the same amount in the future due to its potential earning capacity. (C)</p> Signup and view all the answers

What is the role of interest rate in lending money?

<p>It acts as a compensation for giving up capital for a specific period. (D)</p> Signup and view all the answers

If you deposit €2,000 in a bank at an annual interest rate of 7%, how much money will you have at the end of one year?

<p>€2,140 (D)</p> Signup and view all the answers

Suppose a loaf of bread costs €2 today. If the annual inflation rate is 4%, what will be the approximate cost of the same loaf of bread next year?

<p>€2.08 (A)</p> Signup and view all the answers

A company promises to pay you €5,000 in two years. What concept do you use to determine how much that future payment is worth to you today?

<p>Present Value (A)</p> Signup and view all the answers

You have the choice of receiving €1,000 today or €1,100 in one year. What would influence your decision if you apply the concept of time value of money?

<p>The potential investment options and associated risks. (A)</p> Signup and view all the answers

Why is understanding the real interest rate important for investors?

<p>It reflects the actual increase in purchasing power after accounting for inflation. (A)</p> Signup and view all the answers

How does inflation affect the value of money?

<p>It decreases the purchasing power of money. (B)</p> Signup and view all the answers

What does it mean if the real interest rate is negative?

<p>The inflation rate is higher than the nominal interest rate. (C)</p> Signup and view all the answers

You invest €5,000 at a nominal interest rate of 10%, but the inflation rate is 4%. What is the approximate real return on your investment?

<p>6% (B)</p> Signup and view all the answers

Flashcards

Value of Money

The value of money is a relative concept measuring the goods and services it can buy.

Time Value of Money

Money's value depends on when the cash flow occurs; future flows are worth less than present flows.

Inflation

General rise in prices, eroding purchasing power.

Interest

Compensation for giving up capital for a period.

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Interest Rate

Price per unit of capital and time.

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Real Interest Rate

Expressed in consumption terms; how much future consumption for giving up consumption today.

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Nominal Interest Rate

Expressed in monetary terms; how many future monetary units for giving up one today.

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Real vs. Nominal Interest Rate

The relationship between real and nominal interest rates, accounting for inflation.

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Study Notes

  • Money's value is relative, reflecting the goods and services it can purchase.
  • €100 may cover a family dinner, shoes, or cinema tickets, illustrating its value.
  • €1,000 holds greater value than €100 currently.
  • €1,000 had more value 30 years prior.
  • €1,000 possesses more value today than it will 20 years from now.
  • The timing of a monetary flow affects its value; future flows are worth less than current ones.
  • A core financial principle states that the same amount of money varies in value across time.
  • €100 today is worth more than €100 in one year.

Factors Affecting Money Value

  • Purchasing power diminishes due to inflation, a general increase in prices.
  • With 5% annual inflation, a €100 good will typically cost €105 the following year.
  • Inflation decreases money's purchasing power.
  • Present value is definite, but future cash inflows are less certain due to risks like inflation and default.

Interest Rate

  • Compensation is needed for lending money via debt contracts.
  • Interest is payment for foregoing capital for a set period.
  • The interest rate represents the price for capital and time.
  • A 6% interest rate on a €1,000 deposit for one year means €60 is received at year-end.
  • A 6% annual interest rate on a €1,000 deposit implies indifference between having €1,000 now and receiving €1,060 in a year.
  • €1,060 in one year equals the value of holding €1,000 today.
  • €1,000 is the present value of receiving €1,060 in one year.
  • €1,060 is the future value of €1,000 today, one year later.

Real vs. Nominal Interest Rate

  • Future cash flows relate to inflation, distinguishing interest rates.
  • The real interest rate (r) reflects future consumption units gained by giving up one unit today.
  • The nominal interest rate (i) is in monetary terms, indicating future monetary units gained by giving up one today.
  • The amount of consumption from 100 monetary units depends on the current price level.
  • The investor will ask for a nominal interest rate if renouncing current consumption and investing the money.
  • If you deposit €1,000 at 6% for a year, you'll have €1,060, but it doesn't mean you're 6% better off if inflation is also 6%.
  • Goods costing €1,000 last year now cost €1,060, equating to no real gain.
  • In this instance, the real interest rate is zero, even though nominal interest rate is 6%.
  • The relationship between real and nominal interest rates is: 1 + real interest rate = (1 + nominal interest rate) / (1 + inflation rate).
  • An approximate relationship is: Nominal interest rate ≅ real interest rate - inflation.

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