Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually; (b) quarterly. (c) monthly(d) daily, and (e) continuously Use 1 year 365 days.Principal Rate$10291.6%Time5 years(a) The interest earned of interest is compounded semiannually is(Do not round until the final answer. Then round to the nearest cent as needed.)(b) The interest earned if interest is compounded quarterly is $(Do not round until the final answer. Then round to the nearest cent as needed)(e) The interest earned if interest is compounded monthly is $(Do not round unti the final answer. Then round to the nearest cent as needed)(d) The interest earned if interest is compounded daily is(Do not round until the final answer. Then round to the nearest cent as needed)(e) The interest earned if interest is compounded continuously is(Do not round until the final answer. Then round to the nearest cent as needed)

A method of calculating interest or investment growth known as continuous compounding involves…

Answered: ocasionally a savings account may…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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When $8,600 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can obtained from the equation i=8,600r, where r is the rate of interest in decimal form. Graph i=8,600r, for r up to including a rate of 16%. If the rate is 7%, how much interest is earned? OA. $6,020 OB. $602 O C. $586 OD. $622 I
24) One of the local banks indicates that it computes the interest it pays on savings accounts by the continuous compounding method. Suppose you deposited $100 in the bank and they pay 4% per annum, compounded continuously. After 5 years, how much money will there be in the account? Select one: a. $ 122.14 b. $ 144.14 c. $ 322.14 d. $ 222.14 25) At 10% per year simple interest, how long will it take for a deposit of $1000 now to accumulate to $100,000? Select one: a. n=99 years b. n=50 years c. n=44 years d. n= 990 years 26) When only one alternative can be selected from two or more, the alternatives are said to be: Select one: a. subjective alternatives b. independent alternatives c. revenue alternatives d. mutually exclusive
Find the value of the annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposits. (Round your answer to the nearest cent.) 2$ Amount of Deposit Frequency Rate Time t $250 semiannually 2% 20 yr Need Help? Read It
9. A bank offers a savings account with a 3% annual interest rate, compounded monthly. What is the effective annual interest rate?
1. An installment loan is repaid a. in a single payment after a specified period of time. b. in equal payments over a specified period of time. 2. The amount of an installment loan depends on a. the amount financed, the number of payments, and the annual percentage rate. b. whether the borrower can afford to make a down payment. 3. With each monthly payment on an installment loan, the amount you owe to principal a. decreases. b. increases. 4. With each monthly payment on an installment loan, the percentage of your payment allocated to principal a. decreases. b. increases. 5. The final payment of an installment loan consists of a. the previous balance only. b. the previous balance plus current month's interest. 6. The finance charge on an 18-month, $5,000 installment loan is less thalon a a. 12-month, $5,000 installment loan. b. 24-month, $5,000 installment loan. Chap
= A bank features a savings account that has an annual percentage rate of r interest compounded quarterly. Tatiana deposits $9,000 into the account. The account balance can be modeled by the exponential formula A(t) = a (1 + 7-)kt, where A is account value after t years, a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a = r = 5.6% with k = (B) How much money will Tatiana have in the account in 7 years? Answer = $ 7. Round answer to the nearest penny. APY = = %. Round answer to 3 decimal places. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year).
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You deposit $ 7,812 in your account today. You make another deposit at t = 1 of $ 6,946 . How much will there be in your account at the end of year 1 if the interest rate is 11.9 percent p.a.? (Record your answer without a dollar sign, without commas and round your answer to 2 decimal places; that is, record $3,245.847 as 3245.85). Your Answer:
If you deposit $15,000 at EOY 1, $10,000 at EOY 2, and $5,000 at EOY 3 into a savings account which earns an annual interest rate of 22% compounded continuously, how much will you have in your account at EOY 5? O a. $50,779 O b. $48,222 O c. $63,275 O d. $58,830 O e. $40,751i
a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate $? at the end of each month 3.5% compounded monthly Click the icon to view some finance formulas. a. The periodic deposit is $. (Do not round until the final answer. Then round up to the nearest dollar as needed.) Formulas b. S of the $220,000 comes from deposits and S comes from interest. (Use the answer from part (a) to find these answers. Round to the nearest dollar as needed.) A= In the provided formulas, P is the deposit made at the end of each compounding period, r is the annual interest rate of the annuity in decimal form, n is the number of compounding periods per year, and A is the value of the annuity after t years. P[(1+r)²-1] T Time 10 years A= nt P= Financial Goal $220,000 响 nt [(¹-3) - X SEX
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. A. Find how much money there will be in the account after the given amount of years. B. Find the interest earned. Principal $7000Rate 4% Compounded Semi-annually Time 3 years
Find the present value of the ordinary annuity. (Round your answer to the nearest cent.) Amount of Deposit m Frequency n Rate r Time t $400 quarterly 14% 25 yr $

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