Investors fixed income-like principal protection

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All variables and functions are to be typed (declared). Hint: option explicit. SIN and COS are the Excel functions and are for comparison.

1. A cosine can be approximated by the following infinite series:

cos??x=1- (x^2/2!)?+ (x^4/4!)- (x^6/6!)+ . . . Write a function that will calculate this for any x and y number of terms. If y > 85 or y is not a positive integer, return an error.

X

Y

Cos( x)

MyCosine (x,y)

Approximation error

0.31831

9

 

 

 

0.95493

9.5

 

 

 

1.27324

37

 

 

 

1.591549

65

 

 

 

2.228169

88

 

 

 

2. An index linked note is an instrument that provides investors fixed income-like principal protection together with equity market upside exposure.  It is structured by combining the economics of a long call option on equitywith a long discount bond position.The investment pays the greater of the par value, $1,000, or the price times the percentage increase in the S&P 500.

Write 2 functions (elnPayoff, elnReturn).  The first, elnPayoff, calculates the security payoff at maturity.  The second, elnReturn, calculates the annualized return assuming continuous compounding.  The function elnReturn should call the payoff function.

Price

Years

SP5000

SP5001

Payoff

Return

961

1

1783

1995

 

 

923

2

1298

1498

 

 

819

5

1288

1568

 

 

727

8

1335

1270

 

 

Reference no: EM13862443

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