Statistics for Business and Economics
8th Edition
ISBN: 9780132745659
Author: Paul Newbold, William Carlson, Betty Thorne
Publisher: PEARSON
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Question
Chapter 3.3, Problem 45E
To determine
The probability that a high-risk borrower will default.
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Consider two local banks. Bank A has 100 loans outstanding, each for $0.9 million, that it expects will be repaid today. Each loan has a 7% probability of default, in which case the bank is not repaid anything. The chance of default is independent across all the loans. Bank B has only one loan of $90 million outstanding, which it also expects will be repaid today. It also has a 7% probability of not being repaid. Calculate the following: a. The expected overall payoff of each bank. b. The standard deviation of the overall payoff of each bank.
What is the expected return from an investment if there is a 20 percent chance of a 4 percent return, a 40 percent chance of a 8 percent return, and a 40 percent chance of a 12 percent return
4) You are a financial professional working in a corporate loan department. A company named
Mitch Hedberg Inc. (MH) comes to you for a loan. MH has debt from a previous loan (given
by a different firm than yours) of 200. Your company analysts say that MH is likely to earn
either 180, 240, or 300 this year - each with a probability of 1/3. MH wants you to lend them
100. MH could use this borrowed 100 to do either project X or project Y. Project X has a
guaranteed return of 125 if the 100 is put there. Project Y may return either 0 or 210; each has
probability of 1/2 and also costs 100 to do.
a) Which project, X or Y, has the larger expected value?
b)
If you lend MH the 100, what will they do with the money? Why? Show your math.
c) Should you lend MH the money or not? Show your math.
d)
Why did I choose the letters "MH" for this problem? What financial economic concept
with initials "MH" is important in this problem?
Chapter 3 Solutions
Statistics for Business and Economics
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10E
Ch. 3.2 - Prob. 11ECh. 3.2 - In a city of 180,000 people there are 20,000 legal...Ch. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.4 - Prob. 71ECh. 3.4 - Prob. 72ECh. 3.4 - Prob. 73ECh. 3.4 - Prob. 74ECh. 3.4 - Prob. 75ECh. 3.4 - Prob. 76ECh. 3.4 - Prob. 77ECh. 3.5 - Prob. 78ECh. 3.5 - Prob. 79ECh. 3.5 - Prob. 80ECh. 3.5 - Prob. 81ECh. 3.5 - Prob. 82ECh. 3.5 - Prob. 83ECh. 3.5 - Prob. 84ECh. 3.5 - Prob. 85ECh. 3.5 - Prob. 86ECh. 3.5 - Prob. 87ECh. 3 - Prob. 88ECh. 3 - Prob. 89ECh. 3 - Prob. 90ECh. 3 - Prob. 91ECh. 3 - Prob. 92ECh. 3 - Prob. 93ECh. 3 - Prob. 94ECh. 3 - Prob. 95ECh. 3 - Prob. 96ECh. 3 - Prob. 97ECh. 3 - Prob. 98ECh. 3 - Prob. 99ECh. 3 - Prob. 100ECh. 3 - Prob. 101ECh. 3 - Prob. 102ECh. 3 - Prob. 103ECh. 3 - Prob. 104ECh. 3 - Prob. 105ECh. 3 - Prob. 106ECh. 3 - Prob. 107ECh. 3 - Prob. 108ECh. 3 - Prob. 109ECh. 3 - Prob. 110ECh. 3 - Prob. 111ECh. 3 - Prob. 112ECh. 3 - Prob. 113ECh. 3 - Prob. 114ECh. 3 - Prob. 115ECh. 3 - Prob. 116ECh. 3 - Prob. 117ECh. 3 - Prob. 118ECh. 3 - Prob. 119ECh. 3 - Prob. 120ECh. 3 - Prob. 121ECh. 3 - Prob. 122E
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