GF510_Unit 2 Assignment 1_Andrews, Tradawnya
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Unit 2 Assignment 1
Tradawnya Andrews
Purdue Global University
GF510
Chapter 10 Question 34
County Bank offers one-year loans with a stated rate of 9 percent but requires a compensating balance of 10 percent. What is the true cost of this loan to the borrower?
True cost = loan rate / (1 – compensating balance rate)
True cost = .
09 / (1-.10)
True cost = .09 / .9
True cost = .10 = 10%
How does the cost change if the compensating balance is 15 percent?
= .09 / (1 - .15)
= .09 / .85
= .10588 = 10.59%
If the compensating balance is 20 percent?
= .09 / (1 - .20)
= .09 / .80
= .1125 = 11.25%
Chapter 11 Question 12
A bank vice president is attempting to rank, in terms of the risk-reward trade-off, the loan portfolios of three loan officers. How would you rank the three portfolios?
The rate of return for portfolio b has a higher rate of return, lower SD, and a higher risk. Based off using the information of rate of return for a risk-reward tradeoff, portfolio b would be superior followed by portfolio a, and then portfolio c. Chapter 11 Question 13
Calculate the return and risk on the two-asset portfolio using Moody’s Analytics RiskFrontier.
R1 = (.055 + .0225) – (.035 x .30)
R1 = .0670 = 6.70%
R = [ .035 x (1 - .035)] ^ ½ x .30
R= .0551 = 5.51%
R2 = (.035 + .0175) – (.01 x .20) R2 = .0505 = 5.05%
R = [.01 x (1 - .01)] ^ ½ x .20
R= .0199 = 1.99%
Rp = .45 (6.7%) + .55 (5.05%) Rp = 5.79%
R = .45^2 (5.513%)^2 + .55^2 (1.99%)^2 + 2(.45)(.55)(-.15)(5.51%)(1.99%)
R = 6.54%
Chapter 15 Question 4
Follow Bank has a $1 million position in a five-year, zero-coupon bond with a face value of $1,402,552. The bond is trading at a yield to maturity of 7.0 percent. The historical mean change in daily yields is 0.0 percent and the standard deviation is 12 basis points.
What is the modified duration of the bond?
MD = D / (1 + R)
MD = 5 / 1.07
MD = 4.67%
What is the maximum adverse daily yield move given that we desire no more than a 1 percent chance that yield changes will be greater than this maximum? Potential adverse move in yield at 1 percent = 2.33 x .0012
= .002796
What is the price volatility of this bond?
= MD x potential adverse move in yield at 1 percent
= 4.67 x .002796
= .01307
= 1.307
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What is the daily earnings at risk for this bond? Daily earnings at risk = DEAR
DEAR = monetary value of position x price volatility
DEAR = $1,000,000 x (4.67 x .002796)
DEAR = $13,065
References
CFA Institute. (2024). Measuring and managing market risk. 2024 Curriculum Refresher. https://www.cfainstitute.org/en/membership/professional-development/refresher-
readings/measuring-managing-market-risk
CFI Team. (2016). Mark to market. Corporate Finance Institute. https://corporatefinanceinstitu te.com/resources/valuation/mark-to-market/
Risk Officer. (n.d.). Credit Risk. Risk Officer. https://www.risk-officer.com/Credit_Risk.htm
S
aunders, A. (2023).
Financial Institutions Management: A Risk Management Approach
(11th ed.). McGraw-Hill Higher Education (US).
https://mbsdirect.vitalsource.com/books/97 81266403361
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