Question

Space Fuel Inc. is considering establishing a new propellant depot to provide space vehicles a refueling point in their trek to Mars. If placed in a LaGrange point, the depot could save $50,000K annually. The depot can be constructed for $200,000K today and will be used for a period of 10 years. It has a salvage value of $10,000K at the end of its useful life. The new depot will require an annual maintenance cost of $9,000K. Capital financing is available at 4.78% per semiannual period compounded monthly. Find the present worth.

Answer 1

NPV = $55,894.45

Step-by-step explanation:

the initial outlay of the project is $200,000

the salvage value is $10,000

useful life 10 years

annual costs $9,000

annual savings $50,000

luckily there are no taxes in space

we must determine the effective interest rate in order to be able to discount the future cash flows

(1 + 0.0478/6)¹² - 1 = 9.99%

the net cash flow per year (for years 1 - 9) = $50,000 - $9,000 = $41,000

net cash flow for year 10 = $41,000 + $10,000 = $51,000

using a financial calculator, the NPV = $55,894.45