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sp2606 [1]
3 years ago
10

Consider the following spot interest rates for maturities of one, two, three, and four years. r1 = 4.1% r2 = 4.5% r3 = 5.2% r4 =

6.0% What are the following forward rates, where f1, k refers to a forward rate for the period beginning in one year and extending for k years? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)
Business
1 answer:
Nuetrik [128]3 years ago
4 0

Answer:

Consider the following calculations

Explanation:

According to this general formula

f1,k = [(1+rk+1)k+1/((1+r1)]1/k -1

f1,1 = [(1+ 4.9%)1+1/((1+4.4%)]1/1 -1 = 5.40%

f1,2 =  [(1+ 5.6%)2+1/((1+4.4%)]1/2 -1 = 6.21%

f1,3 =  [(1+ 6.4%)3+1/((1+4.4%)]1/3 -1 =7.08%

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The correct answer is "$ 30.34".

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⇒  \frac{1.50}{1.08^2}  + \frac{1.60}{1.08^3}  + \frac{1.75}{1.08^4 } + \frac{1}{1.08^4} \times [  \frac{( 1.75\times 1.03)}{(0.08 - 0.03)}]

⇒  \frac{1.50}{1.08^2 } + \frac{1.60}{ 1.08^3 } + \frac{37.80}{ 1.08^4  }

⇒  30.34 ($)

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