A 2-year bond with face value £300,000 is redeemable at half-par and has semi-annual coupons paid at annual rate 4%. Suppose that interest is compounded quarterly at nominal rate 3%. (a) Answer: What is the amount of the first payment? (b) What is the amount of the last payment? Answer: (c) Determine the no-arbitrage price of the bond. Enter your answer correct to the nearest pound. Answer: (d) Determine the duration of the cash flow generated by the bond. Enter your answer correct to 3 significant digits. Answer:

Q: 30 Laplace Transform: Differential Equation Solutions Task: Refer to Question 30 in the provided…

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Q: 33. Page 49 The problem concerning solving a system of linear equations can be found on page 49.…

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A: Given, f(x)=log(x−3)+2Domain: x−3>0   (∵y=log(x) domain is x>0) Domain is x>3 Range is…

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A: a)b)c)d)e)

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A: The five points of the first cycle are:(−0.42403, 0),(−1.14677, 0),(0, −3),(4π​, −7)and(−4π​, 1)

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Q: 9. Solve the System of Ordinary Differential Equations Using Matrix Methods Turn to page 57 for the…

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A: Step 1:Step 2:Step 3: Step 4:

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Q: Solve Ut - · 8xux + 7u = 0, x 0 u(x, 0) = 9 sin(x) First change to characteristic coordinates (§, s)…

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Q: Q3: Solve the system x = A(t)x(t) where A = 1 1 -2 2 1 -1 01 - -1. (10M)

A: Step 1:Step 2:Step 3:Step 4:

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A: Let's solve the problem step-by-step:Problem Statement Recap: given that inner product space…

Q: Let W be the subspace spanned by the given vectors. Find a basis for W. 1 0 -1 1 W1 = W2 = 8 -7 ↓1

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A: The original logistic differential equation modeling the population P of Cook Island is:P′=k(M−P),…

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