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xiaoe · 2023年08月18日

什么时候用这个指数,什么时候用百分比来算折现

NO.PZ2023041003000003

问题如下:

Troubadour considers an equity forward contract for Texas Steel, Inc. (TSI). Information regarding TSI common shares and a TSI equity forward contract is presented in Exhibit 2.The current annual compounded risk-free rate is 0.30%.

Exhibit 2 Selected Information for TSI

l The price per share of TSI’s common shares is $250.

l The forward price per share for a nine-month TSI equity forward contract is $250.562289.

l Assume annual compounding.

Based on Exhibit 2, Troubadour should find that an arbitrage opportunity relat­ing to TSI shares is

选项:

A.

not available.

B.

available based on carry arbitrage.

C.

available based on reverse carry arbitrage

解释:

The carry arbitrage model price of the forward contract is FV(S0) = S0(1 + r)T= $250(1 + 0.003)0.75 = $250.562289. The market price of the TSI forward contract is $250.562289. A carry or reverse carry arbitrage opportunity does not exist because the market price of the for­ward contract is equal to the carry arbitrage model price.

什么时候用这个指数,什么时候用百分比来算折现

1 个答案

Lucky_品职助教 · 2023年08月19日

嗨,从没放弃的小努力你好:


在衍生品中,凡是涉及到libor 的都用单利计算,比如FRA、Swap。一般题目在给出条件的时候都会说的很清楚是libor(单利)还是annual compounded interest rate(离散复利)还是continious compounded interest rate(连续复利)。

简单的说,看到libor,FRA,swap就用单利,比如1+5%*4/12这样,利息不再复利;

一年算若干次利息就是离散复利,比如 (1+5%)^(4/12),

一年算无穷次利息就是连续复利,这里公式要用到e

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努力的时光都是限量版,加油!

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