A movie theater is considering the purchase of a new three-dimensional (3D) digital projection system. The new ticket price for a 3D movie will be $15 per person, which is $2.00 higher than for the conventional two-dimensional cellulose film projection system. The new 3D system will cost $50,000. Solve, a. If the theater expects to sell 20,000 tickets per year, how many years (as an integer) will it take for the theater to recover the $50,000 investment in the new system (i.e., what is the simple payback period?) b. What is the discounted payback period (as an integer) if the MARR is 20% per year? c. If the 3D projection system has a life of five years and has a salvage value of $5,000 at that time, what is the IRR of the new system?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A movie theater is considering the purchase of a new three-dimensional (3D) digital projection system. The new ticket price for a 3D movie will be $15 per person, which is $2.00 higher than for the conventional two-dimensional cellulose film projection system. The new 3D system will cost $50,000. Solve, a. If the theater expects to sell 20,000 tickets per year, how many years (as an integer) will it take for the theater to recover the $50,000 investment in the new system (i.e., what is the simple payback period?) b. What is the discounted payback period (as an integer) if the MARR is 20% per year? c. If the 3D projection system has a life of five years and has a salvage value of $5,000 at that time, what is the IRR of the new system?

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