NO.PZ2023040701000001
问题如下：
Bird is analyzing a newly issued, US Treasury bond with a five year maturity and a 7.00% coupon. The bond was issued at a price of 101.15. The bond’s yield to maturity at issuance was 6.72%. Bird is evaluating this bond for long term investors who intend to buy this bond and hold it to maturity. Her analysis is based on an expectation that the future path of interest rates follows that which is implied by the forward curve. Current spot rates and extrapolated one year forward rates are provided in Exhibit 1.
Based on the data provided in Exhibit 1 and assuming that Bird's interest rate expectation materializes, the realized return for the US Treasury bond if held to maturity would most likely be:
选项：
A.less than the yield to maturity.
equal to the yield to maturity.
greater than the yield to maturity.
解释：
Correct Answer: C
The realized return would be greater than the yield to maturity “YTM” because the coupons would be reinvested at forward rates which increase and eventually exceed the YTM since the spot curve is upward sloping. The YTM can be a poor estimate of expected return if interest rates are volatile and if the yield curve is steeply sloped (up or down). YTM assumes that all reinvestment of coupons is made at the assumed rate, which is the YTM. The present value of the bond is 101.15. The future value of the bond assuming that all coupons are reinvested at the forward rates is 141.87. The annualized realized return is 7.0%, which is greater than the 6.72% yield to maturity.
这题的141.87是怎么计算出来的呢？用forward rates进行再投资，在最后第5年的时间节点进行折现求现值是不是用第5年的spot rate进行折现吗？
