# ASC553: An investor has an asset portfolio consisting of 2 assets which are 6-year m% annual coupon bond and 4-year n% annual coupon bond, Assignment, UiTM, Malaysia

 University Universiti Teknologi MARA (UiTM)

## Question 1

Given below equation, 𝜆𝜆𝑡𝑡 = 0.05 + 0.003𝑡𝑡 − 0.0002𝑡𝑡2 for 0 ≤ 𝑡𝑡 ≤ 10 Construct a calculator for 𝑛𝑛-year spot rate and 𝑚𝑚-year forward rate which comes into existence at time 𝑡𝑡 and covers from time 𝑡𝑡 to time 𝑡𝑡 + 𝑚𝑚. Your calculator must be able to incorporate below input a. 𝑛𝑛 for spot rate. b. 𝑚𝑚 and 𝑡𝑡 for forward rate.

## Question 2

An investor has an asset portfolio consisting of 2 assets which are 6-year m% annual coupon bond and 4-year n% annual coupon bond. Construct a calculator to calculate the portfolio’s

a. Macaulay duration

b. Modified duration

c. Convexity

### Question 3

Construct a calculator for arbitrage strategy for 2 year m% annual Coupon Bond yielding i% per annum. Incorporate an input into your calculator for: a. the bond’s par value. b. The bond’s coupon rate. c. The bond’s yield rate (to calculate for the bond’s price) d. Spot rates (can apply spot rates from question 1 or MGS from BNM website) Question 4 Your company has a 10-year lease agreement which has 10 annual lease payments. The first payment is RM100,000 and each payment thereafter was to be adjusted for inflation with annual 4% increases (compounded). Using the yield curve in Question 1, construct an absolute matching strategy using an annual coupon bond where the all have the same yield rate as per the zero coupon bond and all sell at par.

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