the first option ( sell, buy )

[Problem 1 is a two-step problem. First part (Part A) requires you to find theoretical value of an asset. The second part requires you to construct an arbitrage strategy.] You observe following three financial securities in the market: - Regular Annuity: Maturity = 5 years, Annual payments at the end of year (in arrears) = $360, Current price =$X. - Regular coupon bond: Maturity =5 years, Face value =$1,000, Coupon rate =9%, Current price = $1024.492 - Zero-coupon bond: Maturity = 5 years, Face value =$1000, Current price =$675.029 Based on the above information, what should be the fundamental (theoretical) price of the regular annuity, in other words, what is X? [Round-off to at least 3 decimal places.] Problem 1 - Part B (In continuation to the previous problem.) In a financial market, the following three securities are traded: - Regular Annuity: Maturity =5 years, Annual payments at the end of year (in arrears) =$360, Current price =$1,407.852. - Regular coupon bond: Maturity =5 years, Face value =$1,000, Coupon rate =9%, Current price = $1024.492 - Zero-coupon bond: Maturity =5 years, Face value =$1000, Current price =$675.029 Assuming that an arbitrager can buy/(short) sell only the integer quantities of the above securities. What will be the arbitrage strategy at t=0 which results in (minimum) positive cash flow at t=0 and zero outflows at t=1, t=2,t=3,t=4, and t=5