RecallEasynominal and real interest rates

Which of the following best defines the real interest rate?

1–4 answer · Enter next

Why

Tap an answer. The explanation will appear here, including why each wrong option is wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

A: why it's wrongThe real interest rate measures intertemporal trade-offs in terms of physical goods or purchasing power rather than currency units.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

A: why it's wrongThe real interest rate measures intertemporal trade-offs in terms of physical goods or purchasing power rather than currency units.

B: why it's wrongThis mixes nominal payments with real consumption rather than expressing the cost purely in terms of goods.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

A: why it's wrongThe real interest rate measures intertemporal trade-offs in terms of physical goods or purchasing power rather than currency units.

C: why it's wrongThis defines the nominal interest rate, not the real interest rate.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

A: why it's wrongThe real interest rate measures intertemporal trade-offs in terms of physical goods or purchasing power rather than currency units.

D: why it's wrongThis describes a nominal rate of return rather than a real borrowing cost.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

A: why it's wrongThe real interest rate measures intertemporal trade-offs in terms of physical goods or purchasing power rather than currency units.

undefined: why it's wrongThis describes the inverse of the gross inflation rate, not the real interest rate.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

B: why it's wrongThis mixes nominal payments with real consumption rather than expressing the cost purely in terms of goods.

C: why it's wrongThis defines the nominal interest rate, not the real interest rate.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

B: why it's wrongThis mixes nominal payments with real consumption rather than expressing the cost purely in terms of goods.

D: why it's wrongThis describes a nominal rate of return rather than a real borrowing cost.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

B: why it's wrongThis mixes nominal payments with real consumption rather than expressing the cost purely in terms of goods.

undefined: why it's wrongThis describes the inverse of the gross inflation rate, not the real interest rate.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

C: why it's wrongThis defines the nominal interest rate, not the real interest rate.

D: why it's wrongThis describes a nominal rate of return rather than a real borrowing cost.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

C: why it's wrongThis defines the nominal interest rate, not the real interest rate.

undefined: why it's wrongThis describes the inverse of the gross inflation rate, not the real interest rate.

Tap any option to see why it's right or wrong.

Not quite. A is correct.

The real interest rate is defined as the interest rate expressed in terms of a basket of goods, representing how many goods must be repaid in the future to consume a unit of goods today.

D: why it's wrongThis describes a nominal rate of return rather than a real borrowing cost.

undefined: why it's wrongThis describes the inverse of the gross inflation rate, not the real interest rate.

Tap any option to see why it's right or wrong.

Your progress

Chapter 6: not started.

ApplicationMediumPresent Discounted Value

If the annual nominal interest rate is 10%, what is the present discounted value of receiving $200 two years from today?

1–4 answer · Enter next

Why

Tap an answer. The explanation will appear here, including why each wrong option is wrong.

Not quite. C is correct.

Using the present discounted value formula, $200 / (1 + 0.10)^{2} = $200 / 1.21 ≈ $165.29.

C: why it's wrongThe present discounted value is calculated as $200 / (1 + 0.10)^{2} = $200 / 1.21 ≈ $165.29.

undefined: why it's wrongThis compounds the value into the future ($200 × 1.10) rather than discounting a future payment to the present.

Tap any option to see why it's right or wrong.

Not quite. C is correct.

Using the present discounted value formula, $200 / (1 + 0.10)^{2} = $200 / 1.21 ≈ $165.29.

D: why it's wrongThis incorrectly discounts the payment for only one year ($200 / 1.10) instead of two.

undefined: why it's wrongThis compounds the value into the future ($200 × 1.10) rather than discounting a future payment to the present.

Tap any option to see why it's right or wrong.

Your progress

Chapter 6: not started.

AnalysisHardNominal and Real Interest Rates

Let P_{t} be the price of a consumption basket in year t, P^{e}_{t+1} be the expected price of that basket in year t + 1, and i_{t} be the one-year nominal interest rate. If an individual borrows one unit of the consumption basket in period t, which expression represents the exact real interest rate (r_{t}) paid on this loan?

1–4 answer · Enter next

Why

Tap an answer. The explanation will appear here, including why each wrong option is wrong.

Not quite. D is correct.

The gross return in goods is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Therefore, the real interest rate r_{t} is [(1 + i_{t})(P_{t}) / P^{e}_{t+1}] - 1.

A: why it's wrongThis incorrectly inverts the price terms and calculates a gross quantity rather than a net rate.

B: why it's wrongThis inverts the relationship between nominal interest, expected inflation, and the real rate factor.

Tap any option to see why it's right or wrong.

Not quite. D is correct.

The gross return in goods is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Therefore, the real interest rate r_{t} is [(1 + i_{t})(P_{t}) / P^{e}_{t+1}] - 1.

A: why it's wrongThis incorrectly inverts the price terms and calculates a gross quantity rather than a net rate.

C: why it's wrongThis has the ratio upside down; 1 + r_{t} = (1 + i_{t}) / (1 + π^{e}_{t+1}).

Tap any option to see why it's right or wrong.

Not quite. D is correct.

The gross return in goods is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Therefore, the real interest rate r_{t} is [(1 + i_{t})(P_{t}) / P^{e}_{t+1}] - 1.

A: why it's wrongThis incorrectly inverts the price terms and calculates a gross quantity rather than a net rate.

D: why it's wrongThe total baskets repaid is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Subtracting 1 gives the net real rate of interest r_{t}.

Tap any option to see why it's right or wrong.

Not quite. D is correct.

The gross return in goods is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Therefore, the real interest rate r_{t} is [(1 + i_{t})(P_{t}) / P^{e}_{t+1}] - 1.

B: why it's wrongThis inverts the relationship between nominal interest, expected inflation, and the real rate factor.

C: why it's wrongThis has the ratio upside down; 1 + r_{t} = (1 + i_{t}) / (1 + π^{e}_{t+1}).

Tap any option to see why it's right or wrong.

Not quite. D is correct.

The gross return in goods is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Therefore, the real interest rate r_{t} is [(1 + i_{t})(P_{t}) / P^{e}_{t+1}] - 1.

B: why it's wrongThis inverts the relationship between nominal interest, expected inflation, and the real rate factor.

D: why it's wrongThe total baskets repaid is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Subtracting 1 gives the net real rate of interest r_{t}.

Tap any option to see why it's right or wrong.

Not quite. D is correct.

The gross return in goods is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Therefore, the real interest rate r_{t} is [(1 + i_{t})(P_{t}) / P^{e}_{t+1}] - 1.

C: why it's wrongThis has the ratio upside down; 1 + r_{t} = (1 + i_{t}) / (1 + π^{e}_{t+1}).

D: why it's wrongThe total baskets repaid is (1 + i_{t})(P_{t}) / P^{e}_{t+1} = 1 + r_{t}. Subtracting 1 gives the net real rate of interest r_{t}.

Tap any option to see why it's right or wrong.

Your progress

Chapter 6: not started.