A 58-year-old couple are considering opening a business of their own. They will either purchase an established

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A 58-year-old couple are considering opening a business of their own. They will either purchase an established Gift and Card Shoppe or open a new Wine Boutique. The Gift Shoppe has a continuous income stream with an annual rate of flow at time t given by G(t)=30,000 (dollars per year) and the Wine Boutique has a continuous income stream with a projected annual rate of flow at time t given by W(t)=21,600e0.08t (dollars per year) The initial investment is the same for both businesses, and money is worth 10% compounded continuously. Find the present value of each business over the next 7 years (until the couple reach age 65) to see which is the better buy.
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