$642000 Was Invested at a Fixed Rate of 6

question 137

Essay

$6420.00 was invested at a fixed rate of 6.5% compounded semi-annually for 5 years. After 5 years, the fund was converted into an ordinary annuity paying $550.00 per month. If interest on the annuity was 6% compounded monthly, what was the term of the annuity?

---

Definitions:

Standard Deviation

A statistical measure of the dispersion or variability of a set of values, often used to quantify the risk associated with a particular investment or portfolio.

Optimal Risky Portfolio

According to modern portfolio theory, this portfolio provides the maximum expected return for a specific risk level or minimizes the risk for a set expected return.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, commonly used in finance to quantify the risk associated with a given investment.

Perfectly Negatively Correlated

A situation in which two variables move in opposite directions with a correlation coefficient of -1, implying that when one variable increases, the other decreases.