Calvin Excellenza is a new manufacturing start-up at a university city. The firm is introducing an innovative scooter based on the market survey among college students. The company plans to obtained a loan of $350000 from a bank at an interest rate of 8% to procure and install the equipment needed to start the production. Calvin assumes that the scooter will sell for the next seven years before a new design is introduced. It was estimated that 800 units will be sold in the first year. Furthermore, the volume of sales is expected to increase by 8% for the next 3 years at which time the sales will reach its peak. Afterward, it is expected that the sales will decline at a rate of 10% for the next 3 years. A unit of the product will be sold for $130 in the first year and the he price will then increase by 4% annually for the next three years. During the period of the expected declining sales (the remaining three years), the price will be reduced by 5% annually. Determine the present worth of this investment and decide if this investment is worthwhile.

Respuesta :

Answer:

Present value  266.238,78‬

Explanation:

We have to build a table with the units sold per year and the selling price per year.

Then multiply each other for the revenue of the year. Last step, will be to discount thecash flow to present to know their PV using the present value of a lump sum

[tex]\left[\begin{array}{ccccc}Year&Price&Units&Revenue&PV\\1&130&800&104000&96296.3\\2&135.2&864&116812.8&100148.15\\3&140.61&933&131189.13&104142.16\\4&146.23&1008&147399.84&108343.28\\5&138.92&907&126000.44&85753.78\\6&131.97&816&107687.52&67861.4\\7&125.37&734&92021.58&53693.71\\&&&Total&616238.78\\\end{array}\right][/tex]

[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]  

Maturity  $116,812.8000

time  2.00

rate  0.08000

[tex]\frac{116812.8}{(1 + 0.08)^{2} } = PV[/tex]  

PV   100,148.1481

[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]  

Maturity  $131,189.1300

time  3.00

rate  0.08000

[tex]\frac{131189.13}{(1 + 0.08)^{3} } = PV[/tex]  

PV   104,142.1611

And so on.

We use 8% as it is the cost of debt we currently have.

Present value: revenue less F0 cost

616238.78 - 350,000 = 266.238,78‬