{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 18: Shares and Debentures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.1, Page number 18.6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cost of purchase in 1st case is 4750.0 Rs\n",
      "cost of purchase in 2nd case is 3000 Rs\n",
      "cost of purchase in 3rd case is 2750.0 Rs\n",
      "cost of purchase in 4th case is 920.0 Rs\n",
      "cost of purchase in 5th case is 2202.0 Rs\n",
      "cost of purchase in 6th case is 2110.0 Rs\n",
      "cost of purchase in 7th case is 945.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "a1=5000;     #amount(Rs)\n",
    "mv1=95;    #market value\n",
    "a2=3000;     #amount(Rs)\n",
    "a3=2500;     #amount(Rs)\n",
    "mv2=100+10;  #market value\n",
    "a4=1000;     #amount(Rs)\n",
    "d1=8;    #discount(%)\n",
    "a5=2200;     #amount(Rs)\n",
    "b1=1/11;     #brokerage(%)\n",
    "a6=2000;     #amount(Rs)\n",
    "mv3=100+5;   #market value\n",
    "b2=1/2;     #brokerage(%)\n",
    "d2=6;       #discount\n",
    "a7=1000;    #amount(Rs)\n",
    "b3=1/2;     #brokerage(%)\n",
    "\n",
    "#Calculation\n",
    "cp1=a1*mv1/100;     #cost of purchase in 1st case(Rs)\n",
    "cp2=a2;      #cost of purchase in 2nd case(Rs)\n",
    "cp3=a3*mv2/100;   #cost of purchase in 3rd case(Rs) \n",
    "cp4=a4*(100-d1)/100;    #cost of purchase in 4th case(Rs) \n",
    "cp5=a5*(100+b1)/100;       #cost of purchase in 5th case(Rs) \n",
    "cp6=a6*(mv3+b2)/100;   #cost of purchase in 6th case(Rs) \n",
    "mv4=100-d2;     #market value\n",
    "cp7=a7*(mv4+b3)/100;   #cost of purchase in 7th case(Rs)  \n",
    "\n",
    "#Result\n",
    "print \"cost of purchase in 1st case is\",cp1,\"Rs\"\n",
    "print \"cost of purchase in 2nd case is\",cp2,\"Rs\"\n",
    "print \"cost of purchase in 3rd case is\",cp3,\"Rs\"\n",
    "print \"cost of purchase in 4th case is\",cp4,\"Rs\"\n",
    "print \"cost of purchase in 5th case is\",cp5,\"Rs\"\n",
    "print \"cost of purchase in 6th case is\",cp6,\"Rs\"\n",
    "print \"cost of purchase in 7th case is\",cp7,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.2, Page number 18.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sale realisation is 2110.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "a=2000;     #amount(Rs)\n",
    "mv=100+6;   #market value\n",
    "b=1/2;     #brokerage(%)\n",
    "\n",
    "#Calculation\n",
    "sr=a*(mv-b)/100;    #sale realisation(Rs) \n",
    "\n",
    "#Result\n",
    "print \"sale realisation is\",sr,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.3, Page number 18.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "amount of stock is 1200.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "mv=100+(9/4);   #market value\n",
    "b=1/2;     #brokerage(%)\n",
    "sr=1221;     #sale realisation(Rs) \n",
    " \n",
    "#Calculation\n",
    "a=sr*100/(mv-b);    #amount of stock(Rs) \n",
    "\n",
    "#Result\n",
    "print \"amount of stock is\",a,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.4, Page number 18.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "amount of stock is 2000.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "b=1/2;     #brokerage(%)\n",
    "d=8;    #discount(%)\n",
    "pc=1850;   #purchase cost(Rs)\n",
    "\n",
    "#Calculation\n",
    "a=pc*100/(100-d+b);    #amount of stock(Rs) \n",
    "\n",
    "#Result\n",
    "print \"amount of stock is\",a,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.5, Page number 18.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "annual income is 112.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "a=2800;     #amount of stock(Rs) \n",
    "r=4/100;    #rate of stock(%)\n",
    "\n",
    "#Calculation\n",
    "I=a*r    #annual income(Rs)\n",
    "\n",
    "#Result\n",
    "print \"annual income is\",I,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.6, Page number 18.8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "annual income is 100.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "i=2800;     #investment(Rs)\n",
    "r=4;    #rate of stock(%)\n",
    "mvb=112;    \n",
    "\n",
    "#Calculation\n",
    "I=i*r/mvb;    #annual income(Rs)\n",
    "\n",
    "#Result\n",
    "print \"annual income is\",I,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.7, Page number 18.8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rate percent obtained is 7.35 %\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "i=100;     #investment(Rs)\n",
    "r=7;    #rate of stock(%)\n",
    "b=1/(4*100);     #brokerage(%)\n",
    "mv=1-(5/100);    #market value\n",
    "\n",
    "#Calculation\n",
    "R=i*r/(mv+b);   #rate percent obtained(%)\n",
    "\n",
    "#Result\n",
    "print \"rate percent obtained is\",round(R/100,2),\"%\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.8, Page number 18.8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "market value is 29.75\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "i=1220;     #investment(Rs)\n",
    "r=6;    #rate of stock(%)\n",
    "b=1/4;     #brokerage(%)\n",
    "I=244;    #annual income(Rs)\n",
    "\n",
    "#Calculation\n",
    "mv=(i*r/I)-b;     #market value\n",
    "\n",
    "#Result\n",
    "print \"market value is\",mv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.9, Page number 18.8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "investment is 4950.0 Rs\n",
      "answer given in the book is wrong\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "r=20/3;    #rate of stock(%)\n",
    "mvb=110;\n",
    "b=1/4;     #brokerage(%)\n",
    "i=300;    #annual income(Rs)\n",
    "\n",
    "#Calculation\n",
    "I=i*mvb/r;   #investment(Rs)\n",
    "\n",
    "#Result\n",
    "print \"investment is\",I,\"Rs\"\n",
    "print \"answer given in the book is wrong\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.10, Page number 18.8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gain by share holder is 13500 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "fv=20;    #face value(Rs)\n",
    "mv=74;    #market value(Rs)\n",
    "n=250;    #number of shares\n",
    "\n",
    "#Calculation\n",
    "a=mv*n;    #amount paid by buyer(Rs)\n",
    "cp=fv*n;   #purchase cose(Rs)\n",
    "g=a-cp;    #gain by share holder(Rs)\n",
    "\n",
    "#Result\n",
    "print \"gain by share holder is\",g,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.11, Page number 18.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sale realisation is 4180.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "pc=4220;    #purchase cost(Rs)\n",
    "mv=105;     #market value\n",
    "b=1/2;     #brokerage(%)\n",
    "\n",
    "#Calculation\n",
    "sr=pc*(mv-b)/(mv+b);    #sale realisation(Rs) \n",
    "\n",
    "#Result\n",
    "print \"sale realisation is\",sr,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.12, Page number 18.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cost of 80 shares is 780.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "\n",
    "#Variable declaration\n",
    "fv=10;    #face value(Rs)\n",
    "d=3/8;    #discount\n",
    "b=1/8;     #brokerage(%)\n",
    "n=80;    #number of shares\n",
    "\n",
    "#Calculation\n",
    "c1=fv-d+b;    #cost of 1 share(Rs)\n",
    "C=n*c1;      #cost of 80 shares(Rs)\n",
    "\n",
    "#Result\n",
    "print \"cost of 80 shares is\",C,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.13, Page number 18.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "amount invested in 3% stock is 540.0 Rs\n",
      "amount invested in 8% stock is 4860.0 Rs\n",
      "answer given in the book is wrong\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "from fractions import gcd\n",
    "\n",
    "#Variable declaration\n",
    "mvb=120;\n",
    "a=4500;     #amount(Rs)\n",
    "r=5;    #rate of stock(%)\n",
    "i=75;   #income(Rs)\n",
    "x1=99;\n",
    "x2=132; \n",
    "r1=3;    #rate(%) \n",
    "r2=8;    #rate(%)\n",
    "\n",
    "#Calculation\n",
    "sr=mvb*a/100;     #sale realisation(Rs) \n",
    "Is=a*r/100;     #income before selling(Rs)\n",
    "Ias=Is+i;     #income after sale(Rs)\n",
    "\n",
    "\n",
    "l=x1*x2/gcd(x1,x2);     #lcm of x1 and x2\n",
    "X=l*Ias;\n",
    "f1=l/x1;\n",
    "f2=l/x2;\n",
    "c1=r2*f1;    #c1=r2*f1\n",
    "c2=r1*f1;\n",
    "c=l*r2*sr/x2;\n",
    "x=(c-X)/(c1-c2);    #amount invested in 3% stock(Rs)\n",
    "y=sr-x;     #amount invested in 8% stock(Rs)\n",
    "\n",
    "#Result\n",
    "print \"amount invested in 3% stock is\",x,\"Rs\"\n",
    "print \"amount invested in 8% stock is\",y,\"Rs\"\n",
    "print \"answer given in the book is wrong\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.14, Page number 18.10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "income derived is 300.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "from fractions import gcd\n",
    "\n",
    "#Variable declaration\n",
    "i=2592;    #investment(Rs)\n",
    "mvb=108;\n",
    "fv=100;   #face value(Rs)\n",
    "d=25/2;   #dividend(%)\n",
    "\n",
    "#Calculation\n",
    "I=i*d*fv/(mvb*100);    #income derived(Rs)\n",
    "\n",
    "#Result\n",
    "print \"income derived is\",I,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.15, Page number 18.10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rate of interest on investment is 3.37 %\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "from fractions import gcd\n",
    "\n",
    "#Variable declaration\n",
    "r=17/4;    #rate(%)\n",
    "fv=20;   #face value(Rs)\n",
    "n=88;    #number of shares\n",
    "p=5;    #premium\n",
    "b=1/4;   #brokerage(%)\n",
    "\n",
    "#Calculation\n",
    "d=r*fv*n/100;     #dividend(Rs)\n",
    "pc=fv+p+b;    #purchase cost(Rs)\n",
    "R=r*fv/pc;    #rate of interest on investment(%)\n",
    "\n",
    "#Result\n",
    "print \"rate of interest on investment is\",round(R,2),\"%\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.16, Page number 18.10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "market value of each share is 110.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "from fractions import gcd\n",
    "\n",
    "#Variable declaration\n",
    "i=4444;    #investment(Rs)\n",
    "I=600;     #annual income(Rs)\n",
    "fv=100;   #face value(Rs)\n",
    "d=15;   #dividend(%)\n",
    "b=1/100;   #brokerage(%)\n",
    "\n",
    "#Calculation\n",
    "M=i*d*fv/(I*100*(1+b));    #market value of each share(Rs)\n",
    "\n",
    "#Result\n",
    "print \"market value of each share is\",M,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.17, Page number 18.11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "investment is 10504.0 Rs\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "from fractions import gcd\n",
    "\n",
    "#Variable declaration\n",
    "I=1500;     #annual income(Rs)\n",
    "fv=100;   #face value(Rs)\n",
    "d=15;   #dividend(%)\n",
    "b=1/100;   #brokerage(%)\n",
    "M=104;   #market value(Rs)\n",
    "\n",
    "#Calculation\n",
    "i=I*100*M*(1+b)/(d*fv);    #investment(Rs)\n",
    "\n",
    "#Result\n",
    "print \"investment is\",i,\"Rs\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example number 18.18, Page number 18.11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "investment is better\n",
      "investment in 1st case is 1440 Rs\n",
      "investment in 2nd case is 1512 Rs\n",
      "answer given in the book for 2nd case is wrong\n"
     ]
    }
   ],
   "source": [
    "#importing modules\n",
    "import math\n",
    "from __future__ import division\n",
    "from fractions import gcd\n",
    "\n",
    "#Variable declaration\n",
    "d1=15;     #debenture(%)\n",
    "d2=14;     #debenture(%)\n",
    "p=8;      #premium(%)\n",
    "d=4;      #discount(%)\n",
    "\n",
    "#Calculation\n",
    "M1=100-d;    #market value(Rs)\n",
    "M2=100+p;    #market value(Rs)\n",
    "x=d1*M1;     #investment(Rs)\n",
    "y=d2*M2;     #investment(Rs)\n",
    "if(x<y):\n",
    "    print \"investment is better\"\n",
    "else:\n",
    "    print \"investment is not better\"\n",
    "    \n",
    "#Result\n",
    "print \"investment in 1st case is\",x,\"Rs\"\n",
    "print \"investment in 2nd case is\",y,\"Rs\"\n",
    "print \"answer given in the book for 2nd case is wrong\""
   ]
  }
 ],
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