An Interest Rate Is 5% Per Annum with Continuous Compounding

question 18

Multiple Choice

An interest rate is 5% per annum with continuous compounding.What is the equivalent rate with semiannual compounding?

• A) 5.06%
• B) 5.03%
• C) 4.97%
• D) 4.94%

---

Definitions:

Monthly Interest Charge

The amount charged by a lender to a borrower for the use of assets on a monthly basis, calculated as a percentage of the principal.

Real Rate

The interest rate that has been adjusted for inflation, reflecting the true cost of borrowing or the true yield on an investment.

Inflation

Inflation refers to the rate at which the general level of prices for goods and services is rising, eroding purchasing power.

Loan

A loan is an amount of money that is lent to a borrower, who agrees to repay it, plus interest, over a specified period of time.