Question

In: Finance

Suppose you are offered the opportunity to get on the bandwagon of the collector craze for...

Suppose you are offered the opportunity to get on the bandwagon of the collector craze for Beanie Babies. In exchange for $1,000 you will receive 100 assorted canine Beanie Babies. You are absolutely positive that the complete vintage collection will double in value after a decade. The opportunity cost of funds is represented by a 10% interest rate. what is the NPV and IRR? Show equations and work.

Solutions

Expert Solution

Discount rate 10.000%
Year 0 1 2 3 4 5 6 7 8 9 10
Cash flow stream -1000 0 0 0 0 0 0 0 0 0 2000
Discounting factor 1.000 1.100 1.210 1.331 1.464 1.611 1.772 1.949 2.144 2.358 2.594
Discounted cash flows project -1000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 771.087
NPV = Sum of discounted cash flows
NPV Project = -228.91
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
IRR is the rate at which NPV =0
IRR 7.18%
Year 0 1 2 3 4 5 6 7 8 9 10
Cash flow stream -1000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2000.000
Discounting factor 1.000 1.072 1.149 1.231 1.320 1.414 1.516 1.625 1.741 1.866 2.000
Discounted cash flows project -1000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1000.000
NPV = Sum of discounted cash flows
NPV Project = 0.000
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
IRR= 7.18%

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