Suppose that P dollars in principal is invested in anaccount earning 2.1% interest compoundedcontinuously. At the end of 2 yr, the amount in theaccount has earmed $193.03 in interest.a. Find the original principal. Round to the nearestdollar. (Hint: Use the model A = Pe" and substituteP + 193.03 for A.)b. Using the original principal from part (a) and the modelA = Pe", determine the time required for the investmentto reach $6000. Round to the nearest tenth of a year.

A=P+193.03 r- 0.021 t=2 years Since A=Pert Therefore, P+193.03= Pe 0.21*2 P+193.03/P= e0.042…

Answered: Suppose that P dollars in principal is…

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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*Using Matlab* The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(nt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
Insert the answer for each of the following: A. P=$4,500, r=.06, t=4 years. Interest ?__________________________. B. p= $ 3,200, r=.023, t= 3months. interest ? ________________________. C. p=$ 1,700, r=.055, t= 90 days. interest ? ____________________________. D. sales $ 3,790, returns $ 390, sales terms 2/10 n 30. discount ________________? and E. remittance ( paid) __________________________? ( assume paid in discount period)
Calculate the Future value with continuous Compounding when the Principal is $ P, nominal rate is j, compounded mtimes a year for t years. my answer was FV=P(1+\frac{j}{m}) ^{mt}FV=P(1+mj)mt P=Present worth (Principal) j(nominal rate)= \frac{j}{m}mj is the interest per compounding period t (time) = mt is the number of compounding periods. instructions please correct m,y answer because its wrong
The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(rt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
A principal of $12, 000 is 3/5th itself invested at \times % interest rate for 5 years. If the same principal was invested for 2 years at an annual compound interest rate of (x+4) %. The interest return amount in dollars equalsO a. $ 4, 147.20 b. $4, 292.30 c. $4,219.80 d. $4,890.4
1) Determine how much is in each account on the basis of the indicated compounding after the specified years have passed; P is the initial principal, and r is the annual rate given as a percent. (Round your answers to the nearest cent.) P = $5000 and r = 3.1%, compounded annually (a) after 6 years$ (b) after 10 years$ (c) after 15 years$ (d) after 34 years$
Insert an answer for each of the following p= $ 3,200, r=.023, t= 3months. interest ? ________________________. p=$ 1,700, r=.055, t= 90 days. interest ? ____________________________. sales $ 3,790, returns $ 390, sales terms 2/10 n 30. discount ________________? and remittance ( paid) __________________________? ( assume paid in discount period)
Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? Assume previous interest is 10% c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.
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