Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 54, Problem 6A

Determine the value of 406.442-1/3. Round the answer to 3 decimal places.

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Drapers' Bank offers loans and deposits with interest rate 5% compounded monthly. (a) If you deposit £5,000 in a Drapers' Bank account, how much money will be in your account 4 years from now? Enter your answer correct to the nearest pound. Answer: (b) What is the effective interest rate of a Drapers' Bank account? Enter your answer as a percentage correct to 3 significant digits. Answer: (c) Drapers' Bank gives you a loan of £60,000 to start a new company under the condition that you pay back the loan in monthly instalments of EC to be paid at the end of each month over the next 5 years, starting at the end of this month. Determine the value of C and enter it correct to the nearest pound. Answer:
The Mason group has a liability of £200,000 to be paid in 14 years' time. It wants to Redington immunise these liabilities with assets consisting of amount P in a bank and Q 18-year zero coupon bonds, with P and Q to be determined. Interest is compounded monthly at rate 8%. (a) Answer: What is the present value of the liability? Enter your answer correct to the nearest pound. (b) What is the duration of the liability? Enter your answer correct to 3 significant digits. Answer: (c) What is the convexity of the liability? Enter your answer correct to 3 significant digits. Answer: (d) Write down the two equations that P and Q need to satisfy for Redington immunisation to hold and solve these equations for P and Q. Enter the answers correct to the nearest pound. Answers: P= Q= (e) What is the convexity of the assets in this case? Enter your answer correct to 3 significant digits. Answer: (f) Is the convexity condition that is necessary for Redington immunisation satisfied in this case?…

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