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Financial engineering-compound interest calculation of forward interest rate exchange rate
1. The bank needs to return it after 30 days: 1 ten thousand * (1+9%/ 12).

The bank can recover it after 60 days (calculated by monthly compound interest): 1 ten thousand * (1+13.8%/12) 2.

The second 30-day loan interest rate R needs to be repaid after R, 60 days (30+30): 65,438+00,000 * (65,438+0+R/65,438+02). Banks should be risk-free, and the loan amount after 30 days should be 1 10,000 instead.

There are: 1 ten thousand * (1+9%/12) * (1+r/12) =1ten thousand * (1+/kloc)

r =( 1+ 13.8%/ 12)2 * 12/( 1+9%/ 12)- 12 = 0. 12。

2.( 1) Settlement on the expiration date of the contract: 20 million * (11.9%-9.8%) * 3/12 =10500 USD.

(2) Settlement fund on contract settlement date: 20 million * (11.9%-9.8%) * 3/12/(1+1.9% * 3/65438.

(3) The company's purchase of the forward interest rate agreement means that the company expects the interest rate to rise, the market reference interest rate is greater than the contract interest rate, and the company receives the settlement.

3. Principle: As far as the bank is concerned, if it borrows 9-month installment A, it will recover 6.5438+million yuan after 3 months of investment, and 6.5438+million yuan will be lent to the enterprise after 3 months, and the recovery of the due loan is equal to the amount to be repaid by the bank loan.

If the agreed price is r, there are:

A * (1+5.9%/4) =100000.

A *( 1+5.9%/4)*( 1+R/2)= A *( 1+6.229% * 3/4)

R = (1+6.229% * 3/4) * 2/(1+5.9%/4)-2 = 0.063006, which is 6.30 1%.

4.( 1) According to the principle of interest rate parity: convert euros into pounds at one time, invest pounds for one year (5%), sign a forward foreign exchange agreement, sell the investment principal and interest recovered after one year (if the forward exchange rate is r), recover the investment principal and interest after one year, and then convert them into euros according to the agreement, which is equal to the opportunity cost of euros;

1/2.8 *( 1+5%)* R =( 1+4%)

r =( 1+4%)* 2.8/( 1+5%)= 2.7733

(2) On the basis of the interest rate parity in the previous question, investors can make profits (calculated by monthly compound interest):

1000000/2.8 * ( 1+5.0%/ 12) 6 * ( 1+5.8%/ 12) 6 * 2.7733- 1000.

(3) The forward exchange difference between the pound and the euro (with a term of one year): 2.8000-2.7733=0.0267, that is, 267 points.