3. Today is June 30 2019, and you obtain the following quotes from the Wall Street Journal for several traded Treasury bonds with different maturities and coupon rates. Assume that coupons are paid semi-annually (so you don't have to worry about accrued interest) and that you are able to sell/buy at the quoted bid/ask prices. Face value of all bonds is $100. Table 1: Treasury Quotes - June 30 2019 Maturity Coupon (%) Bid Ask 12/31/2019 1.125 99.2520 99.2560 3/31/2020 1.125 99.1860 99.1920 6/30/2020 2.500 100.1420 100.1460 9/30/2020 2.000 100.0440 100.0500 12/31/2020 2.500 100.2520 100.2560 (a) You short sell a Treasury bond with a maturity of 12/31/2020, and then close your short position 6 months later, right after collecting the coupon payment. Suppose that the bid-ask quotes for that bond in 6 months is 99.8520-99.8570. What is your holding period return on the bond? Using the bonds in Table 1, build a portfolio that replicates the cash- flows of a zero-coupon bond with a maturity of of 6/30/2020. (c) What are the bid-ask quotes for the "synthetic zero-coupon bond constructed in part (b)? (d) Suppose you find a zero-coupon bond with a maturity of of 6/30/2 trading for bid-ask price of 99.8520-99.8570. Can you build an ar- bitrage strategy? In the affirmative, what is your profit your profit from the strategy? Describe your strategy carefully. 20 3. Today is June 30 2019, and you obtain the following quotes from the Wall Street Journal for several traded Treasury bonds with different maturities and coupon rates. Assume that coupons are paid semi-annually (so you don't have to worry about accrued interest) and that you are able to sell/buy at the quoted bid/ask prices. Face value of all bonds is $100. Table 1: Treasury Quotes - June 30 2019 Maturity Coupon (%) Bid Ask 12/31/2019 1.125 99.2520 99.2560 3/31/2020 1.125 99.1860 99.1920 6/30/2020 2.500 100.1420 100.1460 9/30/2020 2.000 100.0440 100.0500 12/31/2020 2.500 100.2520 100.2560 (a) You short sell a Treasury bond with a maturity of 12/31/2020, and then close your short position 6 months later, right after collecting the coupon payment. Suppose that the bid-ask quotes for that bond in 6 months is 99.8520-99.8570. What is your holding period return on the bond? Using the bonds in Table 1, build a portfolio that replicates the cash- flows of a zero-coupon bond with a maturity of of 6/30/2020. (c) What are the bid-ask quotes for the "synthetic zero-coupon bond constructed in part (b)? (d) Suppose you find a zero-coupon bond with a maturity of of 6/30/2 trading for bid-ask price of 99.8520-99.8570. Can you build an ar- bitrage strategy? In the affirmative, what is your profit your profit from the strategy? Describe your strategy carefully. 20