A Both investment plans yield the same return B 11000 invest
A. Both investment plans yield the same return.
B. $11,000 invested at 6.3% compounded semiannually over 10 years yields the greater return.
C. $11,000 invested at 6.25% compounded continuously over 10 years yields the greater return.
Solution
money invested = $ 11000
time = 10 years
rate = 6.25%
finding return when compounded continuously
A = P e^rt
A = 11,000 e ^ (.0625*10)
A = $ 20,550.71
now calculating compunded semiannually
A = P ( 1 + r / n ) ^ nt
n = 2 for semiannually
A = 11,000 ( 1 + 0.063 /2 ) ^ 2*10
A = $ 20, 453.96
therefore, amount invested in comounded continuously yields greater return
