Problema Solution

A promissory note will pay $50,000 at maturity 6 years from now. If you pay $28,000 for the note now, what rate compounded continuously would you earn?

Answer provided by our tutors

P = $28,000

t = 6 years

A = $50,000

r = the rate as a decimal

A = P*e^(rt)

28,000*e^(6r) = 50,000

e*(6r) = 50,000/28,000

6r = ln(25/14)

r = (1/6)ln(25/14)

r = 0.09663

r = 9.66%

The rate is 9.66%.