sonialukhele06 sonialukhele06
  • 15-01-2024
  • Mathematics
contestada

Convert an interest rate of 10% p.a. compounded quarterly to an annual effective interest rate.​

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 15-01-2024

Answer:

10.381%

Step-by-step explanation:

Formula for compound interest:

A = P(1 + r/n)^(nt)

A = future value

P = principal (amount invested)

r = annual interest rate

n = number of compounding periods per year

t = number of years

Start with P = $1, r = 10% = 0.1, and n = 4.

A = 1(1 + 0.1/4)^(4 × 1)

A = 1.10381289

If you had invested $1 for 1 year, you'd end up with $1.10381289.

($1.10381289 - $1) / $1 × 100% = 10.381%

Answer: 10.381%

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