How do you find the amount for two different types of payments are indifferent?

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The annual effective interest rate is 10% compounded monthly.

Deal A: You give me $4000 today and I pay you back 2000 dollars in 1 year, and 4000 dollars in 2 years.

Deal B: I give you 2000 dollars today and another 4000 dollars in 1 year and you pay me $X in 2 years.

What does $X have to be for you to be indifferent between these two deals? How can I set up the present values for both?

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You are on the right track. At deal $A$ you´ve forgotten the payment from "you" of $\$4000$ at the beginning. This amount has not to be discounted.

$$\texttt{PV of Deal A}: \quad-4000+\frac{2000}{\left(1+\frac{0.1}{12}\right)^{12}}+\frac{4000}{\left(1+\frac{0.1}{12}\right)^{24}}$$

For Deal B you start with a positive sign, since "you" get $\$2000$.

$$\texttt{PV of Deal B}: \quad 2000+\frac{4000}{\left(1+\frac{0.1}{12}\right)^{12}}+\frac{X}{\left(1+\frac{0.1}{12}\right)^{24}}$$