问题如下:
A bank entered into a three-year interest rate swap for a notional amount of USD 250 million, paying a fixed rate of 7.5% and receiving LIBOR annually. Just after the payment was made at the end of the first year, the continuously compounded spot one-year and two-year LIBOR rates are 8% and 8.5%, respectively. The value of the swap at that time is closest to
选项: USD
14 million
USD -6 million
C.USD -14 million
D.USD 6 million
解释:
ANSWER: D
This question differs from the previous one, which gave the swap rate. Here, we have the spot rates for maturities of one and two years. The coupon is 7.5. The net present value (NPV) of the payments is then Right after the reset, the value of the FRN is $250 million, leading to a gain of $6 million. This is a gain because the bank must pay a fixed rate but current rates are higher.
老师好,想和您确认一下,这道题是因为要求在reset date的value,所以浮动端不需要考虑利息;而Financial Market and Product经典题无答案版本第68页的第2.1题,是因为要求在0时刻的value, 所以浮动端需要考虑利息。这么理解对吗?(经典题2.1题截图如下)