At t=0 you buy a 6 year, 5% coupon bond with FV= $10,000 and 8% YTM. With the coupon you receive from this bond at t=2, you buy bond X at t=2, where Bond X is a 3 year 0 coupon bond. AT t=3, you sell bond X. What is the sale price of Bond X at t=3 (roundd to the nearest dollar)? You are also given the following information:

At t=1: r1,1=1.1% r1,2=1.2% r1,3=1.3% r1,4=1.4% r1,5=1.5% r1,6=1.6% r1,7=1.7%

At t=2 r2,1=3% r2,2=3% r2,3= 7% r2,4=8.5% r2,5=9% r2,6=10% r2,7=11%

At t=3: r3,1=1% r3,2=2% r3,3=1% r3,4=1% r3,5=1% r3,6=1% r3,7=1%

At t=4: r4,1=5% r4,2=6% r4,3=7% r4,4=8% r4,5=9% r4,6=10% r4,7=11%

662, 601, 589,578 or 555