A bank is paying 7.5% APR on a CD. (Note: The convention when there are no periodic payments is to assume annual compounding, unless stated otherwise. Thus this is annual compounding.) If you put $2500 into an account, how much will the account be worth in 3 years?
a. 3062.5
b. 3105.74
c. 2505.63
d. 4375
e. insufficient information to compute
The answer is b) 3105.74. After the first year, it is worth $2687.50. After the second year it is worth $2889.06, and after the third year it is worth $3105.74.
Just multiply 0.075 by the amount in the account at the beginning of the year to get the interest for that year, then add that amount to get the new value for the end of that year.
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FV( interest_rate, number_payments, payment, PV, Type )
Equivalent RatesThe Equivalent Rates calculation is used to find the nominal annual interest rate compounded n times a year equivalent to a given nominal rate compounded m times per year.Two nominal rates with different compounding frequencies are equivalent if they yield the same amount of interest per year (and hence, at the end of any period of time).Input• nominal annual rate for the given rate• compounding frequency for the given rate• compounding frequency for the equivalent rateResults• equivalent nominal annual rate• equivalent periodic rateExample•A bank offers 14.75 % compounded annually.What would be the equivalent rate compounded monthly?InputGiven nominal annual rate:14.75 %Compounding frequency for given rate:annuallyCompounding frequency for equivalent rate:monthlyResultEquivalent nominal annual rate:13.8377 %Answer: 13.8377%.
You should ask these types of questions in the Mathematics category since this comes from a mathematics course. Otherwise, you'll just get a lot of answers with approximations or financial rules of thumb from people who have not taken this course. Let a(n) = [1 - (1+i)^-n] / i, where a(n) = present value of payments of $1 at the end of each period, computed 1 period before the first payment n = number of periodic payments i = effective periodic interest rate Then PV = 3500*a(20) - 1500*a(10) = 3500 * (1 - 1.11^-20)/.11 - 1500 * (1 - 1.11^-10)/.11 = $19,037.80.
Yes, the tangent function is periodic.
yes
annuity
Lanthanides are placed in a special row under the classical periodic table; but this arrangement is only a convention.
premium
Periodic table that is represented as group IA - VIIIA for s and p block elements and group IIIB - IIB, including three groups in VIIIB is the Nort America Convention of PT
In this scenario, the investor receives periodic payments (annuity payments) and a lump sum when the debt instrument matures.
As you have described it, this sounds very similar to an annuity.
annuities....
Annuity
One can obtain cash for structured settlement payments from any of the legal financing companies. Structured settlements is a periodic payments of funds. It is received as a claimant of injured party.
That could be an annuity, or a permanent life insurance policy.
Periodic payments against an outstanding loan balance that do not pay off the entire outstanding loan balance.
Running Account Bills: Raised for periodic payments for an ongoing projects, example for construction projects