A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in the following collection of bonds to maximize the annual return.
Bond |
Yield |
Maturity |
Risk |
Task free |
A |
9.50% |
LONG |
0.996 |
YES |
B |
8.00% |
SHORT |
0.55 |
YES |
C |
9.00% |
LONG |
0.368 |
NO |
D |
9.00% |
SHORT |
0.775 |
NO |
E |
9.00% |
LONG |
YES |
With the low risk score of bond E being uncertain, The officer wants the average risk score for his investments to be less than 0.50. The officer wants to invest at least 50% of the money in short-term. At least 30% of the funds should go in tax-free investments, and at least 40% of the total annual return should be tax free.
The trust officer needs to determine his investments before realizing the risk in Bond E, whether he chooses to invest in Bond E or not. Formulate the stochastic problem faced by the trust officer assuming that the risk of Bond E follows a normal distribution. Solve the problem under two cases: (1) One where the normal distribution has a mean 0.5 and standard deviation 0.15. (2) Another where the normal distribution has a mean 0.5 and standard deviation 0.01. In both these settings, do the following:
A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in...
A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in the following collection of bonds to maximize the annual return. Bond Yield Maturity Risk Task free A 9.50% LONG 0.996 YES B 8.00% SHORT 0.55 YES C 9.00% LONG 0.368 NO D 9.00% SHORT 0.775 NO E 9.00% LONG YES With the low risk score of bond E being uncertain, The officer wants the average risk score for his investments to be less than...
A trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return. Bond Annual Return Maturity Risk Tax Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues....
PLEASE ATTACH THE SPREAD SHEET 19. A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in the following collection of bonds to maximine the annual retum. Annual Bulu Maturity Risk TaxFree 9.9% Long High Yes B 8.0% Short Low с 9.0% Long Low No D 9.0% Long High Yes No Short The officer wants to invest at least 50% of the money in short-term issues and no more than 50% in high-risk issues. At...
PLEASE ATTACH THE SPREAD SHEET 19. A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in the following collection of bonds to maximize the annual retum Annual Bend Return Maturity A 95% Long High Yes 8.0% Short Low Long Low No D High Yes E 9.0% Short High No Long The officer wants to invest at least 50% of the money in short-term issues and no more than 50% in high-risk issues. At least...
Sarah is looking to invest in bonds, she is going to invest for a pool of 30 small companies and buy 1 bond from each in her portfolio. The probability that a bond will default within the next year is 0.15. Assume that the defaults for the bonds are independent from each other. a) Calculate the probability that no bonds in Sarah’s portfolio will default next year. b) Calculate the probability that at least one bond in her portfolio will...
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