Internal Rate of Return IRR and Net Present

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Internal Rate of Return (IRR) and Net Present Value (NPV)

Internal Rate of Return (IRR) and Net Present Value (NPV)

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clears registers One payment per year PV

IRR and NPV HP 10 B Keystrokes Clears registers One payment per year PV = -$ 28, 371 FV = $ 50, 000 FV in 5 years Solve for IRR

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clears registers One payment per year $50,

IRR and NPV HP 10 B Keystrokes Clears registers One payment per year $50, 000 future value Discount rate = 15% FV in 5 years Compute present value Subtract $28, 371

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clears registers Monthly compounding PV = -

IRR and NPV HP 10 B Keystrokes Clears registers Monthly compounding PV = - $28, 371 Monthly pmt = $445. 66 96 months Compute IRR

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clears registers Monthly payments Monthly pmt =

IRR and NPV HP 10 B Keystrokes Clears registers Monthly payments Monthly pmt = $445. 66 Annual discount rate = 10% 96 monthly payments Compute PV Subtract $28, 371

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clears registers Monthly payments PV = -$96,

IRR and NPV HP 10 B Keystrokes Clears registers Monthly payments PV = -$96, 000 Monthly pmt = $1, 028. 61 FV = $97, 662. 97 60 months Compute yield (IRR)

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clears registers Monthly payments Monthly pmt =

IRR and NPV HP 10 B Keystrokes Clears registers Monthly payments Monthly pmt = $1, 028. 61 FV = $97, 662. 97 60 months of payments Discount rate = 13. 1047% Compute PV Subtract $96, 000

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystokes Clears registers One payment per year Initial

IRR and NPV HP 10 B Keystokes Clears registers One payment per year Initial CF = - $100, 000 1 st CF = $ 20, 000 2 nd CF = $ 35, 000 3 rd CF = $ 75, 000 Compute yield (IRR)

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clear registers One payment per year Initial

IRR and NPV HP 10 B Keystrokes Clear registers One payment per year Initial CF = - $ 10, 000 1 st CF = - $ 8, 000 2 nd CF = - $ 5, 000 3 rd CF = $ 15, 000 4 th CF = $ 25, 000 Discount rate = 10% Compute net present value

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clears registers One payment per year Initial

IRR and NPV HP 10 B Keystrokes Clears registers One payment per year Initial CF = - $ 92, 725. 60 1 st grouped CF = $ 10, 000 Occurs three times 2 nd grouped CF = $ 15, 000 Occurs twice 3 rd CF = $ 100, 000 (once) Compute the yield (IRR)

IRR and NPV

IRR and NPV

IRR and NPV HP 10 B Keystrokes Clear registers Monthly payments Initial CF =

IRR and NPV HP 10 B Keystrokes Clear registers Monthly payments Initial CF = - $98, 000 1 st grouped CF = $791. 38 Occurs 12 times 2 nd grouped CF = $850. 73 Occurs 12 times 3 rd grouped CF = $914. 54 Occurs 11 times 4 th CF = $107, 491. 18 (once) Discount rate = 13% Compute net present value