# Terminal value

**Definition:** [crh] The value of a bond at maturity, typically its par value, or the value of an asset (or **Definition:** an entire firm) on some specified future valuation date. Usually, a perpetuity formula is used. For example, suppose we forecast cash flows throu**Definition:** gh year 10. We make an assumption that year 11 and beyond will be no growth (except for inflation). If the cash flow forecast for year 11 is 100, the firm's discount rate is 12%, and inflation is expected to be 2%, we use the formula V_{10} = CF_{11}/(disc rate-inflation). Hence, the value is 100/(0.12 - 0.02) that is 1,000. **Definition:** This cash flow needs to be brought back to present value using the formula 1000/(1.12)^{10}, which is 321.97. Note the importance of the inflation assumption.**Definition:**

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