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Assuming the market is arbitrage-free, if a six-month pure discount bond yields 1.9%, a one year-pure discount bond yields 2.3%, an eighteen-month bond yields 3.05%,

Assuming the market is arbitrage-free, if a six-month pure discount bond yields 1.9%, a one year-pure discount bond yields 2.3%, an eighteen-month bond yields 3.05%, what should be the price of a two-year discount bond yields 3.05%, what should be the price is a two-year $1,000 6% par-value bond with semiannual coupons?
Answer: $1,057.82
I asked this question before and recieved the answer below. However, my question now is how was the PV factor calculated. I attempted to calculate it and I am off be a few decimals which may not be a big deal but I am just unsure if I am actually doing the correct calculation.
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