Present value.A promissory note will pay $ 25000 at maturity 9 years from now. How much should you be willing to pay for the note now if money is worth 4 %compounded​ continuously?

Respuesta :

Answer:

[tex]\large\boxed{\arge\boxed{\$17,441.91}}[/tex]

Explanation:

The value that you should be willing to pay for the promisory note that will pay $25,000 at maturity 9 years from now is the present value of the note.

To calculate the present value you must discount the money at 4% compounded continuosly.

The equation to calculate the present value of an amount  to be paid in t years, when the money is worth r%, compounded continuosly, is:

    [tex]Present\text{ }value=\dfrac{Future\text{ }Payment}{e^{rt}}[/tex]

Substituting:

       [tex]Present\text{ }value=\dfrac{\$25,000}{e^{0.04\times 9}}=\$17,441.91[/tex]