What is Discount Rate?
The discount rate is the interest rate applied to future cash flows to find their value in today's dollars. It reflects the opportunity cost of money—the idea that a dollar today is worth more than a dollar tomorrow. Used in finance to evaluate investments, loans, and retirement planning.
The discount rate is the interest rate used to convert future money into its present value (PV). Formula: PV = FV / (1+r)^n, where r is the discount rate and n is the number of periods.
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Step-by-step worked examples
You will receive $10,000 in 5 years. If the discount rate is 5%, what is its present value?
PV = FV / (1+r)^n PV = 10,000 / (1.05)^5 PV = 10,000 / 1.2763 PV ≈ $7,835
A bond pays $1,000 in 3 years. Using a 10% discount rate, what is it worth today?
PV = 1,000 / (1.10)^3 PV = 1,000 / 1.331 PV ≈ $751
You are offered $50,000 now or $65,000 in 8 years. Using a 4% discount rate, which is better?
PV of $65,000 in 8 years = 65,000 / (1.04)^8 = 65,000 / 1.3686 ≈ $47,500 Since $47,500 < $50,000, take the $50,000 now.
Flashcards
Quick quiz
Q1.What does discount rate measure?
Q2.$5,000 in 2 years, 6% discount rate. PV ≈?
Q3.Higher discount rate → present value is…
Q4.Discount rate is commonly used for…
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Common mistakes
Discount rate only affects inflation. — Correct: Discount rate reflects opportunity cost—the return you could earn elsewhere, not just inflation.
Higher discount rates increase PV. — Correct: Higher rates decrease PV because you discount future money more heavily.
Discount rate is the same for all investments. — Correct: Each investment's discount rate reflects its risk level; riskier investments have higher rates.
Discount rate only matters for long time periods. — Correct: Even short periods are affected; a 10% rate on $100 in 1 year is $90.91 PV.
FAQ
What is discount rate?
Discount rate is the interest rate used to convert future money into its present value. Formula: PV = FV / (1+r)^n.
Why do we use discount rate?
Money today is worth more than the same amount in the future due to opportunity cost and inflation. Discount rate quantifies this difference.
How is discount rate determined?
It depends on risk, inflation expectations, and alternative investment returns. Safer investments have lower rates; riskier ones have higher rates.
What happens if discount rate is zero?
If r = 0, then PV = FV. Money would have no time value, which is unrealistic.