The cost to produce today = 74000
At a discount of 12%, the future value of costs in 5 years = PV*(1+r)^n where PV = 74000, r= 12% = 0.12 and n = 5 years = 5
The value of costs in 5 years = 74000*(1+0.12)^5
The value of costs in 5 years = 74000*1.12^5
The value of costs in 5 years 130,413.28
Price in 5 years = 138,000
Profit = 138,000-130,413.28 = 7,586.72
The profit the firm will make on this asset (considering time value of money) = $7,586.72
Answer:
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question text <u>WITH </u>missing information:
After examining the various personal loan rates available to you, you find that you can borrow funds from a finance company at an APR of <em>12 percent compounded monthly</em> or from a bank at an APR of <em>13 percent compounded annually.</em> Which alternative is more attractive?
If you borrow $100 from a finance company at an APR of 9% percent compounded for year, how much do you need to payoff the loan?
Answer:
The finance company option is better as we are taking the loan we want the lower rate possible.
We need $109 to payoff the loan of $100 at 9% annualy after a whole year.
Explanation:
We solve for the effective rate of 12% compounded monthly
= 1.12682503 = 0.126825 = 12.6825%
As this rate is lower than 13% this option is better
If we take 100 dollars after a year we have to pay:
$100 x (1 + r) = 100 x (1 + 0.09) = 100 x 1.09 = $109