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Suppose a State of California bond will pay $1,000 eight years from now. If the going interest rate on these 8-year bonds is 7.3%, how much is the bond worth today?

Answer
a. $529.28
b. $500.82
c. $631.72
d. $569.12
e. $478.06

User Mfalcon
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1 Answer

3 votes

Final answer:

The present value of a State of California bond that pays $1,000 in eight years with an interest rate of 7.3% is calculated using the present value formula, resulting in a value of $581.97, which doesn't match any provided options. This might require recalculating or a revision of the question or data.

Step-by-step explanation:

To calculate the present value of a State of California bond that will pay $1,000 eight years from now with an interest rate of 7.3%, we use the present value formula which is PV = FV / (1 + r)^n, where PV is present value, FV is future value, r is the interest rate (as a decimal), and n is the number of periods.

Plugging the given numbers into the formula, we get:
PV = $1,000 / (1 + 0.073)^8

Therefore:
PV = $1,000 / (1.073)^8
PV = $1,000 / 1.71899
PV = $581.97, which is not among the provided options. It is important to ensure all calculations are correct and double-check for any potential computational errors. Since none of the provided answers match the calculated value, it might be necessary to revisit the question or consult additional resources.

User Wallace Breza
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