MindTap . Cengage Learning C Consider The Following Ces C The CFO Of The Compar
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Question
MindTap . Cengage Learning C Consider The Following Ces C The CFO Of The Compar ia https//ng.cengage.com/stat ?deploymentld-551651215053 5% MINDTAP Chapter 5 Assignment The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows. An investor an invest money with a partialar bank and earn a stated interest rate of 4.40%; however, interest wil be compounded quarterly. What are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate effective annual rate You want to invest $10,000 and are looking for safe investment options. Your bank is offering you a certificate of deposit that pays a nominal rate of 4% that is compounded daily, what is the effective rate of return that you will earn from this investment? o 4,264% 4.081% 3.940% 4.166% Suppose you decide to deposit $10,000 in a savings account that pays a nominal rate of 12%, but interest is compounded daily. Based on a 365-day year, how much would you have in the account after 12 months? (Hint: To calculate the number of days, divide the number of months by 12 and multiply by 365.) O $11,951.24 0 Type here to search nspironExplanation / Answer
1.Nominal a interest rate = 4.40%
Periodic interest rate = 4.40%/4 = 1.10% (Divided by 4 as the interest is compounded quarterly)
for effective interest rate = (1+4.40%/4)1*4 - 1 = 4.473%
2. Investment = 10,000 , Interest = 4% coumpounded daily
Effective rate = (1+4%/365)365 - 1 = 4.081%
3. Investment = 10,000, Interest = 12%
Amount at the end of one year = 10,000 * (1+4%/365)365 = 11,274.75
Effective interest rate = 12.7475%