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Question 9 As of Jan. 1.2022, you have the following data on three otherwise identical zero credit risk government bonds with different coupon rates and
Question 9 As of Jan. 1.2022, you have the following data on three otherwise identical zero credit risk government bonds with different coupon rates and maturities. The face value of the following bond is $1,000, and coupons are paid annually. Maturity (years) 1 Bond 1 Bond 2 Bond 3 Coupon rate 0% 5% 3% Bond price $980.39 $1,019.8 $949.9 2 3 Suppose that HSBC offers you a forward rate of f =10%, at which you can borrow or lend $150,000, 2 years from now (Jan. 1.2024) (e.g., you can lend $150,000 on Jan. 1.2024 at 10% for one year until Jan. 1. 2025). Choose all actions that you need to take in order to earn the arbitrage profit. Below, r, and rare annualied spot rates that are applied every year for either borrowing or lending from today until Jan. 1.2024 and Jan. 1.2025, respectively. Lend S150,000 at f ;= 10% from HSBC on Jan. 1.2024 until Jan. 1. 2025. Borrow $150,000 at f= 10% from HSBC on Jan. 1.2024 until Jan. 1. 2025. at 2 0 $ 150,000 Lend at r2 for 2 years from today until Jan. 1. 2024. (1+r22 $ 150,000 Borrow for 2 years from today until Jan. 1. 2024. 1 (1+r) $ 150,000 Lend atr, for 3 years from today until Jan. 1. 2025. (1+r) $ 150,000 Borrow atrz for 3 years from today until Jan. 1. 2025. (1+r2)
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