The Financial System
and the Interest Rates
Dr. Amir Rafique
02/26/25
Topics for Today
Financial System
Components of the Financial System
Approaches to Investment Decision Making
Interest Rates and the Financial System
Financial System
An institutional framework
Three main parts:
Financial Instruments
Financial Markets
Financial Institutions
Regulations are another aspect of the
financial system (i.e. SBP, SECP)
The Financial System
Financial Instruments
Financial Instruments
A financial instrument is:
“the written legal obligation of one party to transfer
something of value usually money to another party
at some future date, under certain conditions”
Stocks, debts, or t-bills etc.
Assets
Assets are things that people own
Types of Assets
Financial Assets (Risky)
Non-Financial Assets/ Real Assets (Less Risky)
Financial Assets
Equity Shares (Ownership Capital)
Blue chip shares, growth shares, income shares
Mutual Funds
Money Market Funds
Equity and Bond Funds
Hybrid Funds
Financial Derivatives
Options, futures, forwards and swaps
Financial Markets
TIME PERIOD
Classification of Derivatives
Structure of Financial Markets
Primary vs. Secondary Markets
Centralized Exchanges vs. Over-The-Counter
(OTC) Markets
Spot vs. Future Markets
Financial Intermediaries/
Institutions
Financial Intermediaries
Companies obtain the financial resources in
two ways:
Directly (Financial Markets)
Indirectly (Financial Institutions/ Financial
Intermediaries)
Two broad categories
Depository Institutions
Non-Depository Institutions
16
The Structure of the Financial
Industry
Individual
Surplus Units
Depository
Institutions
Mutual Funds Deficit Units
Deposits
Purchase Shares
Policyholders
Employers
Employees
Insurance
Companies
Pension Funds
Premiums
Employee
Contributions
Approaches to Investment
Decision Making
Approaches to Investment
Decision Making
Technical Analysis
Market data
Price trends
Technicians/ Chartists
Fundamental Approach
Fundamental analysis
Fundamental factors
Intrinsic value of a security
Fundamentalists
Technical Analysis
Measuring Risk and Return
Measuring Risk and Return for
Investments
To estimate/ evaluate the expected risk-return:
Historical rates of return
Average rates over time
Variance and standard deviation (Traditional)
Coefficient of Variation
Measures of Historical Rates of
Return (ex post)
%1010.0
$200
200 -$220
or
P
PP
SPR
0
01
Where:
SPR = Single period return
P
0 = Beginning value
P
1 = Ending value
Single Period Yield/ Return
Measures of Historical Rates of
Return over the Period
High and low returns in different periods
So summary figures of returns required
The mean annual rate of returns for this
investment
Measures of Historical Rates
of Return over the Period
1 2 ...
NR R R
AM
N
The mean annual rate of returns for this investment over
some period of time is calculated
Arithmetic Mean
Where:
AM = Arithmetic Mean
R
i
= Holding Period Returns
N = Number of Periods
Problem
Year NBP (Rs.) MCB (Rs.)
2009 100 200
2010 119 216
2011 128 222
2012 113 202
2013 110 206
2014 127 214
• Compute arithmetic mean annual rate of return for each
stock. Which stock is better by this measure?
Actual Return/ Expected
Return/ Historical Return
NBP Returns (R) MCB Returns (R)
100 200
119 0.19 216 0.08
128 0.07563025 222 0.02777778
113 -0.1171875 202 -0.0900901
110 -0.0265487 206 0.01980198
127 0.15454545 214 0.03883495
Sum 0.27643953 Sum 0.07632462
E (R) 0.05528791 E (R) 0.01526492
Measures of Risk for a Single
Investment
Measures of Risk
Variance of rates of return
Standard deviation of rates of return
Coefficient of variation of rates of return
Measuring Risk: Variance of
Historical Returns
N
RE
i
n
1i
2
i
2
R
Where:
= Variance (of the pop)
R = Return i
E(R)
i
= Expected R*
N = Number of years
2
* The E(R) is equal to the arithmetic mean of the series of returns.
Measuring Risk: Standard
Deviation
Standard Deviation is the square root of the variance
Standard Deviation is a measure of dispersion around
the mean. The higher the standard deviation, the
greater the dispersion, the greater the risk
deviation Standard
2
Variance
Problems
•Compute variance and the standard deviation of the annual
rate of return for each stock. Which is preferable by these
measures?
•How you interpret the results of the two measures?
Year NBP (Rs.) MCB (Rs.)
2009 100 200
2010 119 216
2011 128 222
2012 113 202
2013 110 206
2014 127 214
Variance and Standard
Deviation
NBP Returns (R) E (R) R- E(R) [R- E(R)]²
100
119 0.19 0.055288 0.134712 0.0181473
128 0.07563025 0.055288 0.020342 0.0004138
113 -0.1171875 0.055288 -0.17248 0.0297478
110 -0.0265487 0.055288 -0.08184 0.0066972
127 0.15454545 0.055288 0.099257 0.009852
Sum 0.27643953 Sum 0.0648582
E (R) 0.05528791 Var 0.0129716
S.D. 0.114
MCB Returns (R) E (R) R- E(R) [R- E(R)]²
200
216 0.08 0.015265 0.064735 0.0041906
222 0.02777778 0.015265 0.012513 0.0001566
202 -0.0900901 0.015265 -0.10536 0.0110997
206 0.01980198 0.015265 0.004537 2.058E-05
214 0.03883495 0.015265 0.02357 0.0005555
Sum 0.07632462 Sum 0.016023
E (R) 0.01526492 Var 0.0032046
S.D. 0.057
Coefficient of Variation: Relative
Measure of Risk
Coefficient of variation (CV) is a measure of relative
variability
CV indicates risk per unit of return, thus making
comparisons easier
i
E(R)
Standard Deviation of Returns
CV
Expected Rate of Return
The risk per unit of return
Problems
•Compute the coefficient of variation for each stock. Which
stock is better by this relative measure of risk?
Year NBP (Rs.) MCB (Rs.)
2009 100 200
2010 119 216
2011 128 222
2012 113 202
2013 110 206
2014 127 214
Coefficient of Variation
NBP Returns (R) E (R) R- E(R) [R- E(R)]²
100
119 0.19 0.055288 0.134712 0.0181473
128 0.07563025 0.055288 0.020342 0.0004138
113 -0.1171875 0.055288 -0.17248 0.0297478
110 -0.0265487 0.055288 -0.08184 0.0066972
127 0.15454545 0.055288 0.099257 0.009852
Sum 0.27643953 Sum 0.0648582
E (R) 0.05528791 Var 0.0129716
S.D. 0.114
C.V. 2.0619337
MCB Returns (R) E (R) R- E(R) [R- E(R)]²
200
216 0.08 0.015265 0.064735 0.0041906
222 0.02777778 0.015265 0.012513 0.0001566
202 -0.0900901 0.015265 -0.10536 0.0110997
206 0.01980198 0.015265 0.004537 2.058E-05
214 0.03883495 0.015265 0.02357 0.0005555
Sum 0.07632462 Sum 0.016023
E (R) 0.01526492 Var 0.0032046
S.D. 0.057
C.V. 3.7340507
Interest Rates
Interest Rates
Definition of Interest Rate
The price of funds
Types of Interest Rates
Determination of Interest Rates
Types of Interest Rates
Types of Interest Rates
Nominal Interest Rates
Real Interest Rates
Real and Nominal Interest
Rates
The nominal interest rate is equal to the real
interest rate plus the expected rate of inflation
Also called Fisher Equation:
i = r + π
e
The nominal interest rate, i, equals the real
interest rate, r, plus expected inflation, π
e
Determination of Interest Rates
The market interest rate is determined by the
factors that affect the supply and demand of the
loanable funds
Loanable Funds Theory
S
Quantity of Lending/ Borrowing in the Economy (s)
D
i
Equilibrium Interest Rate
S=D