4. Three Bonds have the following values Bond Face Value Maturity Coupon Rate A 1,000 3...

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4. Three Bonds have the following values Bond Face Value Maturity Coupon Rate A 1,000 3 10% B 2,000 2 8% C 3,000 3 6% Your company is expected to pay a. $2,000 at the end of year 1 b. $7,300 at the end of year 2 c. $22,400 at the end of year 3 i. Calculate the number of bonds to purchase: A, B and C in order to meet the payments ii. Show the matrix system iii. Show the matrix inverse iv. If the relevant interest rate is 5% per year, calculate the cost (today) of your portfolio v. Calculate the weights invested in each asset in your portfolio 4. Three Bonds have the following values Bond Face Value Maturity Coupon Rate A 1,000 3 10% B 2,000 2 8% C 3,000 3 6% Your company is expected to pay a. $2,000 at the end of year 1 b. $7,300 at the end of year 2 c. $22,400 at the end of year 3 i. Calculate the number of bonds to purchase: A, B and C in order to meet the payments ii. Show the matrix system iii. Show the matrix inverse iv. If the relevant interest rate is 5% per year, calculate the cost (today) of your portfolio v. Calculate the weights invested in each asset in your portfolio