Problemas
5. Find the value of 25,000 invested at 7.5% for 11 years if it is compounded monthly Eqn __ Ans __ 6. Find the value of 25,000 invested for 11 years if it is compounded continuously at 7.5% Eqn __ Ans __
Roztwór
Beatriz
maestro · Tutor durante 5 años
4.2
(270 Votos)
Respuesta
5. To find the value of
where:-
is the amount of money accumulated after n years, including interest.-
is the principal amount (the initial amount of money).-
is the annual interest rate (decimal).-
is the number of times that interest is compounded per year.-
is the time the money is invested for in years.Given:-
-
-
(since it is compounded monthly)-
Plugging in the values:
So, the value of $25,000 invested at 7.5% for 11 years compounded monthly is approximately
25,000 invested for 11 years compounded continuously, we can use the formula for continuous compounding:
where:-
is the amount of money accumulated after n years, including interest.-
is the principal amount (the initial amount of money).-
is the annual interest rate (decimal).-
is the time the money is invested for in years.-
is the base of the natural logarithm, approximately equal to 2.71828.Given:-
-
-
Plugging in the values:
So, the value of
57,175.