Suppose the opportunity cost of capital is 10 percent and you have just won a $1 million lottery that entitles you to $100,000 at the end of each of the next ten years. Alternatively, you can accept an immediate cash payment of $600,000. Ignoring the tax implications, which option is better and by how much?

It is more convenient to accept the first offer. It has a higher present value than accepting $600,000 now. Exactly $14,456.712

Explanation:

Giving the following information:

Discount rate= 10%

Offer:

Cash flow= $100,000

Years= 10

Or:

You can accept an immediate cash payment of $600,000.

First, we need to calculate the present value of the first offer. We will determine the final value, and then, the present value.

FV= {A*[(1+i)^n-1]}/i

A= annual cash flow

FV= {100,000*[(1.10^10)-1]} / 0.10

FV= 1,593,742.46

Now, the present value:

PV= FV/(1+i)^n

PV= 1,593,742.56/ (1.10^10)

PV= $614,456.712

It is more convenient to accept the first offer. It has a higher present value than accepting $600,000 now. Exactly $14,456.712

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