ABSTRACT
The
research work aimed to develop a model for forecasting Currency In Circulation in
Nigeria (CIC) using time series analysis from
2000 to 2016. The time series plot used to view the trend of the CIC, it shows
that, there is an upward trend in the series which indicates that, the series
is not stationary. The ACF and PACF was plot, The ADF and KPSS test were
carryout in which both show that, the series is not stationary, best on ACF and
PACF, the series differenced at order 1 to make it stationary because the first
lag is out of the limits, the set first difference I n which signified the
constant mean and variance. Finally, The ARIMA model identification of CIC were
computed and display in the table, best on result, by considering Akaike
Criterion (AIC), Schwarz Criterion (SIC) and Hannan-Quinn Criterion (HQC), It
was found that ARIMA (1 1 1) has the least value based on AIC, SQC and HQC.
Table of Contents
TITTLE PAGE.. i
DECLARATION.. ii
CERTIFICATION.. iii
DEDICATION.. v
ACKNOWLEDGEMENT.. vi
ABSTRACT.. viii
Table of
content…………………………………………………………………………………………………………………………………….ix
CHAPTER ONE.. 1
1.1 Background to the study. 1
1.2 Aim and Objectives. 2
1.3 Significance of the Study. 3
1.4 Scope of the Study. 3
1.5 Background of CIC.. 3
1.6 statement of the problem.. 5
CHAPTER TWO.. 5
2.1 Theoretical Framework. 6
2.2 Components of Time Series. 10
CHAPTER THREE.. 12
METHODOLOGY.. 12
3.1 Introduction. 12
3.2 Population. 12
3.3 Method of Data Collection. 12
3.4 Statistical tools. 13
3.7 Moving Average (MA) Model 16
3.8 Autoregressive Moving Average (ARMA) models. 17
3.9 Autoregressive Integrated Moving Average (ARIMA) models. 17
3.10 Signal and noise. 17
3.11 Model Selection Criteria. 18
3.12 model identification. 18
3.13 Information criterion. 20
CHAPTER FOUR.. 29
DISCUSSION OF THE RESULTS. 29
4.1 Introductions. 29
4.3 unit root test before differencing. 31
4.4 Time Series Plot After First Difference. 34
4.5 ACF and PACF after First Difference. 35
4.6 Unit Root Test after First Difference. 35
4.7 Model Estimation. 36
4.8 Forecasting of CIC.. 38
CHAPTER FIVE.. 41
SUMMARY, CONCLUSION AND RECOMMENDATION.. 41
5.1 Summary. 41
5.2 Conclusions. 41
5.3 Recommendation. 42
REFERENCES. 43
CHAPTER ONE
INTRODUCTION
1.1 Background to the Study
The
currency in circulation of a country is currency that is physically used to
conduct transactions between consumers businesses rather than stored in a bank,
financial institution or central bank. Currency in circulation(CIC) is part of the overall money supply, with a
larger portion of the overall supply being stored in checking and savings
accounts.
CIC accounts for approximately seventy percent of reserve money in
Nigeria. As such, estimating CIC is a crucial part of the reserve money
forecast which guides daily liquidity management at the Central Bank of Nigeria
(CBN). The observed volatility in the interbank call rate and other money
market interest rates suggests that improvements could be made to the liquidity
forecasting and management process at the CBN.
This project documents a comprehensive investigation of the
methods used to forecast monthly, yearly Currency in circulation. Time series
analysis were applied to Nigeria data in order to develop a suitable models
which will be automated and utilized to enhance, the liquidity forecasting and
management process at the CBN. Rather than the forecasting process more
proactive liquidity management will reduce the volatility of money market
interest rates and facilitate price stability. The prediction of CIC
traditionally utilizes time series models which seek to replicate the patterns
observed from International Training Institute, Central Bank of Nigeria, Abuja.
Initial exploration with monthly data suggested that CIC is sensitive
to the exchange rate. This is perhaps motivated by currency substitution when
the actual or expected rate of inflation is high. Thus, we developed time
series in forecasting CIC.
Developed monthly and yearly models
of CIC which incorporate the trend, seasonality, cycles and dummy variables for
CIC.
In monetary economics, circulation is
the continuing use of individual units of currency for transactions. Thus
currency in circulation is the total value of currency (coins and paper
currency) that has ever been issue minus the amount that has been removed from
the economy by the central bank.
The total amount of paper currency,
coins and demand deposits that is held by consumers and business rather than by
financial institutions, central banks
1.2 Aim
and Objectives
The aim of this research is to develop a model for monthly, forecasting of Currency In
Circulation in Nigeria (CIC) using time series analysis.
The specific objectives of the study
are to;
i.
fit the trend of Currency In Circulation in Nigeria (CIC) over the period of (2000- 2016)
ii.
test the stationary of the data.
iii.
select the best model that will best predict
the Currency in Circulation in Nigeria based on information available and
use it for forecasting.
1.3 Significance
of the Study
Understanding the Currency
in circulation (CIC) is a crucial part of the reserve money forecast which
guides daily management at the Central Bank of Nigeria (CBN) and other money
market interest rates, suggests that improvements could be made to the forecasting
and management process at the CBN. The study will be of great
benefit to the entire country, especially in allocating of budget in different
part of the state in the country (Nigeria).It will also help government to over
view the fluctuating of currency in circulation from the plotted graph in order
to plan for the future. The research work also will serve as tool for
allocating money in circulation across the country.
1.4 Scope of the Study
The study covered only data on reported monthly currency
in circulation in Nigeria from the central bank of Nigeria portal, from 2000 to
2016.
1.5 Background
of CIC
The
West African Currency Board was responsible for issuing currency notes in
Nigeria from 1912 to 1959. Prior to the establishment of the West African
Currency Board,
Nigeria
had used various forms of money including cowries and manilas (CBN Data base,
On 1st July, 1959 the Central Bank of Nigeria issued the Nigerian currency
notes and coins and the West African Currency Board notes and coins were
withdrawn. It was not until 1st July, 1962 that legal tender status was changed
to reflect the country’s new status. Nigerian has then started her own monetary
policies.
History of the CBN In 1948, an inquiry under the leadership of G.D Paton was
established by the colonial administration to investigate banking practices in
Nigeria. Prior to the inquiry, the banking industry was largely uncontrolled.
The G.D Paton report, an offshoot of the inquiry became the cornerstone of the
first banking legislation in the country: the banking ordinance of 1952. The
ordinance was designed to prevent non viable banks from mushrooming, and to
ensure orderly commercial banking. The banking ordinance triggered a rapid
growth in the industry, with growth also came disappointment. By 1958, a few
numbers of banks had failed. To curtail further failures and to prepare for
indigenous control, in 1958, a bill for the establishment of Central Bank of
Nigeria was presented to the House of Representatives of Nigeria. The Act was
fully implemented on July 1, 1959, when the Central
Bank of Nigeria came into full operation. In April 1960, the Bank issued its
first treasury bills. In May 1961 the Bank launched the Lagos Bankers Clearing
House, which provided licensed banks a framework in which to exchange and clear
checks rapidly. By July 1, 1961 the Bank had completed issuing all
denominations of new Nigerian notes and coins and redeemed all of the West
African Currency Board's previous money.
The major objectives
of the bank are to: Maintain the external reserves of the country, promote
monetary stability and a sound financial environment, and to act as a banker of
last resort and financial adviser to the federal government. The central bank's
role as lender of last resort and adviser to the federal government has
sometimes pushed it into murky regulatory waters. After the end of imperial
rule the desire of the government to become pro-active in the development of
the economy became visible especially after the end of the Nigerian civil war,
the bank followed the government's desire and took a determined effort to
supplement any short falls in credit allocations to the real sector.
1.6 statement of the problem
As in common sense, we
don’t called it over until is over, while doing the research, I encountered a
lot of problems especial in chapter four, because, I have to used four
difference software in order to analyzed my work such as: Minitab, SPSS, NCSS,
and Gretl. During the proposal, I have mentioned clearly that, my work would be
analyze using only Minitab in which I realized that, there are so many thing
that I can’t do base on my knowledge with Minitab, finally I dedicated myself
to learned how to used NCSS and Gretl, this took me a lot of time and energy to
analyze my work. Also, I chose the project topic base on the CBN Journal glance
from my supervisor, it was became so difficult for me to even start the
project, but at long last with the support of my great supervisor and school’s
wireless we can called it over.
Login To Comment