a. What is the effective annual interest rate (EAR) of the APR
of 10.5% given that it is compounded quarterly? Monthly? Annually?
Daily?
b. If you purchase a new home for $250,000 today, what is your
monthly payment if you have to pay 4.25% annual interest compounded
monthly? Assume a 30‐year fixed mortgage (360 months) and 25% down
on the home (this is of the purchase price above).
Directions: Annual Percentage Yield (APV). Find the annual
percentage yield (to the nearest 0.01%) in each case.
1.) A bank offers an APR of 3.2% compounded
monthly.
Directions: Continuous Compounding. Use the formula for
continuous compounding to compute the balance in each account after
1,5, and 20 years. Also, find the APY for this account.
1.) A $2,000 deposit in an account with an APR of
3.1%
Math201:
Directions: Annual Percentage Yield (APV). Find the annual
percentage yield (to the nearest 0.01%) in each case.
1.) A bank offers an APR of 3.2% compounded
monthly.
Directions: Continuous Compounding. Use the formula for
continuous compounding to compute the balance in each account after
1,5, and 20 years. Also, find the APY for this account.
1.) A $2,000 deposit in an account with an APR of
3.1%
Which is the best definition of an annual percentage rate
(APR)?
A.
The interest rate expressed in terms of the interest payment
made each period. Also, quoted interest rate
B.
The interest rate charged per period multiplied by the number of
periods per year.
C.
An annuity for which the cash flows occur at the beginning of
the period.
D.
A level stream of cash flows for a fixed period of time.
E.
The interest rate expressed as if it...
Question #3: Interest rates are quoted either as Annual
Percentage Rate (APR) or Effective Annual Rate (EAR)
Required: What is the difference between an Annual Percentage
Rate and an Effective Annual Rate?
The APR on a loan is 13.45%, compounded monthly. What is the
effective semi-annual rate?
Select one:
a. 6.725%
b. 6.916%
c. 7.225%
d. One cannot compare rates with different compounding
frequencies.
(a) Calculate the effective annual rate (EAR) for each, given
the nominal rate of 12%
(APR) and the following compounding frequencies: (I) quarterly
(II) monthly (III) daily.
(b) Calculate the nominal rate (APR) for each, given the
effective annual rate of 12% (EAR) and the following compounding
frequencies: (I) quarterly (II) monthly (III) daily.
(c) Calculate the periodic rate in percent for each, given the
nominal rate of 12% (APR) and the following compounding
frequencies: (I) quarterly (II) monthly (III)...
Find the APR, or stated rate, in each of the following
cases:
a.
An effective interest of 7% compounded semiannually
b.
An effective interest of 13% compounded monthly
c.
An effective interest of 17% compounded weekly
d.
An effective interest of 8% with continuous compounding
Find the APR, or stated rate, in each of the following
cases:
a. An effective interest of 18% compounded semiannually
b.
An effective interest of 11% compounded monthly
c.
An effective interest of 16% compounded weekly
d.
An effective interest of 13% with continuous compounding