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Old October 12th, 2007, 12:12 AM
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Default Business Caluculus

A promissory not will pay $50,000 at maturity 5 years from now. The note has an interest rate of 6.4% compounded continuously...

1. What is the note worth right now?
2. You bought the note and cashed it after 5 years. How much interest did you earn?

I set up the equation as 50,000=Ce^.064*0 but how do I solve that and then I have no idea how do do the second part of the question...PLEASE HELP!
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Old October 12th, 2007, 12:55 AM
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Originally Posted by ryandman89 View Post
A promissory not will pay $50,000 at maturity 5 years from now. The note has an interest rate of 6.4% compounded continuously...

1. What is the note worth right now?
2. You bought the note and cashed it after 5 years. How much interest did you earn?

I set up the equation as 50,000=Ce^.064*0 but how do I solve that and then I have no idea how do do the second part of the question...PLEASE HELP!
The equation you require is that:

V(t)=Ce^{0.064 t},

where t is in years. So in this case:

C = 50000/e^{0.064*5}.

The interest paid is 50000 - C.

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