# Present Value Calculations Discount Rate

Suppose you just inherited a gold mine. This gold mine is believed to have three years worth of gold deposit. Here is how much income this gold mine is projected to bring you each year for the next three years:

Year 1: $42,000,000

Year 2: $62,000,000

Year 3: $99,000,000

Compute the present value of this stream of income at a discount rate of 8%. Remember, you are calculating the present value for a whole stream of income, i.e. the total value of receiving all three payments (how much you would pay right now to receive these three payments in the future). Your answer should be one number - the present value for this oil well at a 8% discount rate but you have to show how you got to this number.

Now compute the present value of the income stream from the gold mine at a discount rate of 6%, and at a discount rate of 4%. Compare the present values of the income stream under the three discount rates.

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Suppose you just inherited a gold mine. This gold mine is believed to have three years worth of gold deposit. Here is how much income this gold mine is projected to bring you each year for the next three years:

Year 1: $42,000,000

Year 2: $62,000,000

Year 3: $99,000,000

Compute the present value of this stream of income at a discount rate of 8%. Remember, you are calculating the present value for a whole stream of income, i.e. the total value of receiving all three payments (how much you would pay right now to receive these three payments in the future). Your answer should be one number - the present value for this ...

#### Solution Summary

Computes the present value of a stream of income and compares the present values of the income stream under three discount rates.

Inheritance Alternative Present and future value calculations

Your uncle has given you three alternatives for your inheritance. You can have $5,000 now; $1,000 per year for the next eight years; or $12,000 at the end of eight years. You assume your opportunity cost or discount rate is 11% interest annually.

1. Which inheritance alternative would be best? Why?

2. Would your decision be different if you could earn interest at 13%?

3. Would your decision be different if you knew the economy was declining and the risk of non-payment eight years from now was risky?

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