Your storage firm has been offered $96 comma 300 in one year to store some goods for one year. Assume your costs are $ 96 comma 300, payable immediately, and the cost of capital is 8.8 %. Should you take the contract?
Question
Your storage firm has been offered 96 comma 300, payable immediately, and the cost of capital is 8.8 %. Should you take the contract?
Solution
To determine whether you should take the contract, you need to compare the present value of the money you will receive in one year with the cost you have to pay immediately.
Step 1: Calculate the present value of the money you will receive in one year. The formula for present value is:
PV = FV / (1 + r)^n
where:
- PV is the present value
- FV is the future value
- r is the interest rate
- n is the number of periods
In this case, FV is $96,300, r is 8.8% (or 0.088 when expressed as a decimal), and n is 1 year.
So,
PV = 96,300 / 1.088 PV = $88,603.31
Step 2: Compare the present value with the cost.
The cost is $96,300, payable immediately.
Since the present value of the money you will receive in one year (96,300), you should not take the contract.
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