Problemas
Yolanda wants to buy a bond that will mature to 5000 in six years . How much should she pay for the bond now if it earns interest at a rate of 2.5% per year,compounded continuously? Do not round any intermediate computations , and round your answer to the nearest cent. square
Roztwór
María
maestro · Tutor durante 5 años
4.5
(166 Votos)
Respuesta
To solve this problem, we need to use the formula for continuous compounding interest:
Where:-
is the amount of money accumulated after time
-
is the principal amount (the initial amount of money)-
is the annual interest rate (expressed as a decimal)-
is the time the money is invested for (in years)-
is the base of the natural logarithm (approximately equal to 2.71828)Given:-
-
yearsWe need to find
, the amount Yolanda should pay for the bond now.Rearranging the formula to solve for
:
Substituting the given values:
First, calculate the exponent:
Next, calculate
:
Now, divide value by this amount:
Therefore, Yolanda should pay approximately \$4304.63 for the bond now.