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The IRR reinvestment rate assumption is the mistaken assumption that the IRR of a project implicitly assumes that all positive cash flows from the project that occur in periods before the end of the project will be reinvested at the rate of IRR per period until the end of the project.
The definition of reinvestment assumption is an assumption made concerning the rate of return that can be earned on the cash flows generated by capital budgeting projects. The cash flow can be interest, earnings, dividends, or rent.
Apparently the NPV and IRR are methods to obtain capital budgets. The reinvestment rate assumption affects both methods because it is what determines now much incoming cash flow is reinvested into project.
Critics argue that equivalent yield, which is calculated using the reinvestment rate assumption, may not reflect the actual reinvestment opportunities available. Additionally, it assumes that coupon payments can be reinvested at the equivalent yield, which may not always be achievable in practice. Lastly, equivalent yield does not account for the risk associated with reinvestment, potentially leading to inaccurate valuation results.
IRR assumes that all cash flows are reinvested at the project's rate of return, seldom a defensible assumption. Since NPV discounts future cash flows at the investor's cost of capital, it more accurately represents the value of a project. It assumes that cash flows are reinvested at the cost of capital. This is a good assumption so long as the financing can be repaid in stages so as to reduce interest or equity cost. MIRR enables a project to be described with the simplicity of a percentage rate of return, as with IRR, but does not assume that cash flows can be effectively reinvested in the project at the calculated rate of return. Instead, cash flows are assumed to be reinvested at any given rate, such as a bank interest rate.
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Reinvestment risk When interest rates are declining, investors have to reinvest their interest income and any return of principal, whether scheduled or unscheduled, at lower prevailing rates.Interest rate risk When interest rates rise, bond prices fall; conversely, when rates decline, bond prices rise. The longer the time to a bond's maturity, the greater its interest rate risk.
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The annual rate is the interest rate charged on a loan or investment, while the annual yield is the actual return earned on an investment, taking into account factors like compounding and reinvestment of earnings.
NPV's assumption is more conservative and realistic. because in order to accept the project, the IRR must be greater than the cost of capital.Both methods assume that a project will cost some money up front, and then produce cash flow returns over a period of time. Both assume that these cash flows will be reinvested by the firm.
You can find details of the American Recovery and Reinvestment Act at Recovery.gov.