A manufacturer offers an inventor the choice of two contracts for the exclusive right to manufacture and market the inventor’s patented design. Plan 1 calls for an immediate single payment of $51,170. Plan 2 calls for an annual payment of $1,617 plus a royalty of $4.32 for each unit sold. The remaining life of the patent is 10 years. MARR is 10% per year.
What must be the uniform annual sales to make Plan 1 and Plan 2 equally attractive?
In the world of innovation and intellectual property, inventors often find themselves at a crossroads when it comes to commercializing their patented designs. They must weigh their options carefully, considering factors such as immediate payments, royalties, and the duration of their patent. In this essay, we will delve into a financial analysis to determine the uniform annual sales required to make two contract options equally attractive to an inventor. We will explore Plan 1, which offers a substantial upfront payment, and Plan 2, featuring annual payments and royalties. To make an informed decision, the Minimum Acceptable Rate of Return (MARR) of 10% per year will be considered.
Immediate Lump Sum Payment Plan 1 offers the inventor an enticing proposition—an immediate single payment of $51,170. In this plan, there are no additional annual payments or royalties to consider. The cash flow associated with Plan 1 is straightforward and upfront.
Annual Payment and Royalties Plan 2, on the other hand, takes a different approach. It offers an annual payment of $1,617 along with a royalty of $4.32 for each unit sold. This royalty structure adds complexity as it extends over the remaining life of the patent, which is 10 years. To compare Plan 2 with Plan 1, we must calculate the present value of these cash flows over the same 10-year period.
To make a fair comparison, we calculate the present value of both Plan 1 and Plan 2 using the inventor’s MARR of 10%. The present value of Plan 1 is straightforward—it’s the $51,170 immediate payment.
For Plan 2, we first calculate the present value of the annual payment of $1,617 over 10 years using the formula for the present value of an annuity. Additionally, we determine the present value of the royalty stream by summing up the present values of each year’s royalties based on the number of units sold in that year.
Now, the crucial question becomes, how many units must the inventor sell annually to make Plan 1 and Plan 2 equally attractive? To find this uniform annual sales figure, we use the following formula:
Uniform Annual Sales = (PV(Plan 1) – PV(Annual Payment)) / PV(Royalty per unit)
Inventors often face challenging decisions when it comes to commercializing their patented designs. In this case, we’ve analyzed two contract options, Plan 1 with an immediate lump sum payment and Plan 2 with annual payments and royalties. By conducting a present value analysis and considering the inventor’s MARR, we can calculate the uniform annual sales required to make both plans equally attractive.
This financial analysis empowers inventors to make informed decisions based on their unique circumstances, financial goals, and sales expectations. It underscores the importance of understanding the time value of money and the intricacies of contract terms when evaluating offers from manufacturers. Ultimately, inventors can use this analysis to maximize the value of their intellectual property and secure a contract that aligns with their financial objectives.
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