NO.PZ2019010402000059
问题如下:
One months ago, Harvey
took a short position in five 10-year Canadian government bond forward
contracts, with each contract having a contract notional value of 100 million
CAD. when the contracts were purchased, the contracts had a price of CAD 146
(quoted as a percentage of par). Now,
the contracts have three months left to expiration, and have a price of CAD 148.
The annualized three-month interest rate is 0.15%. The value of the forward
contract is :
选项:
A.- CAD9,996,500
CAD9,996,500
CAD1,999,300
解释:
A is correct
本题考察的是重新定价法求远期合约的价值。
For the long position:
Vt =PV[Ft -F0 ]=(148-146)/(1+0.0015)90/360 = 1.9993
1.9993/100 * 100,000,000 * 5= CAD9,996,500
本题求解的是short position,因此取负号为 - CAD9,996,500
when the contracts were purchased, the contracts had a price of CAD 146 (quoted as a percentage of par). Now, the contracts have three months left to expiration, and have a price of CAD 148.
Vt =PV[Ft -F0 ]=(148-146)/(1+0.0015)90/360 = 1.9993
如上,做题时我理解这个买的时候146,时间点是T0, 然后148是三个月以后的,也就是T3, 然后应该把148往前折现了,再与146作差,就得出value,我哪里理解错了,请老师解答下,谢谢。
另外,什么时候是用 1+0.15%* 90/360, 这样的利率表达形式是不是只有swap一种情况?