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I am holding 10 untradable bonds with a nominal value of R 1,000,000 with a coupon of 12% and 10 years to maturity. The bond

I am holding 10 untradable bonds with a nominal value of R 1,000,000 with a coupon of 12% and 10 years to maturity. The bond is priced at a premium YTM of 50 points above a tradable bond with nominal value of R 1,000,000 with a coupon rate of 10% and 6 years to maturity. The tradable bonds trades at YTM of 7.2%. How many future contracts do I need to sell short to cover my long position in the untradable bond? Both bonds pay coupons semi-annually and the duration for the untradable and tradable bond is given as 13.15 and 9.49 years respectively (assume the contract size for the futures is R100,000).

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