# As shown on slide 6 of chap4.ppt there are two ways to calculate the PV(NPV) using the mid-year convention; i.e. rather than assume all cash flows occur at year end, we sometimes assume that all cashflows occur mid-year.

As shown on slide 6 of chap4.ppt there are two ways to calculate the
PV(NPV) using the mid-year convention; i.e. rather than assume all cash flows occur at year end, we sometimes assume that all cashflows occur mid-year.  Confirm that there are two ways to do this that are equivalent.
Assume the project is already up and running and produces cash flows of \$50, \$70 and \$80 for the next three years; the cost of capital is 10%.
-1.What is the PV/NPV of the three years of cash flows assuming the end of year convention, e.g. \$50 at t=1, ,\$70 at t=2 and \$80 at t=3?
-2. Using the adjustment on slide 6, what is the NPV/NPV using the mid-year convention, e.g. \$50 at t= 0.5, \$70 at t=1.5 and \$80 at t=2.5?
-3. Use discount factors, i.e. 1/(1+r)^t to confirm the answer using the adjustment on slide 6 for the NPV with mid-year cash flows.

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