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Xelga [282]
3 years ago
5

Luke enters into a three-year interest rate swap to receive a fixed rate and pay a variable rate based on future 1-year LIBOR ra

tes. The settlement occurs at the end of every year. The notional amount is 1,000 for year 1, 800 for year 2, and 600 for year 3. tt stst 1 4% 2 5% 3 6% 4 7% 5 8% Determine the net swap payment made at the end of the first year.
Business
1 answer:
Sladkaya [172]3 years ago
5 0

Answer:

The net swap payment made is $49.

Explanation:

In order to find the solution the values are used which are as follows:

The Value of interest in each year is calcuated as follows

Interest=Interest\ Rate\%\times Amount

The values of interest rate and amount for 3 years are as follows:

  • Interest rate for year 1 is 4% for an amount of 1000
  • Interest rate for year 2 is 5% for the amount of 1800
  • Interest rate for the year 3 is 6% for the amount of 800.

These values are calculated as follows:

Interest_1=4\%\times 1000\\Interest_1=40

Similarly

Interest_2=5\%\times 1800\\Interest_2=90

Also

Interest_3=6\%\times 800\\Interest_3=48

So the total interest is

Interest_T=Interest_1+Interest_2+Interest_3\\Interest_T=40+90+48\\Interest_T=178

The total amount is given as

Amount_T=Amount_1+Amount_2+Amount_3\\Amount_T=1000+1800+800\\Amount_T=3600

Fixed rate is given as

\dfrac{Interest_T}{Amount_T}\\=\dfrac{178}{3600}\\\\=0.049\ or\ 4.9\%

Now for the swap payment made at the end of first year is

Amount_{1st swap}=Fixed Rate\times Amount_1\\Amount_{1st swap}=4.9\%\times 1000\\Amount_{1st swap}=$49

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