|
1
|
|
|
<?php |
|
2
|
|
|
|
|
3
|
|
|
namespace FinanCalc\Calculators { |
|
4
|
|
|
|
|
5
|
|
|
use FinanCalc\Interfaces\Calculator\BondCalculatorAbstract; |
|
6
|
|
|
use FinanCalc\Utils\Lambdas; |
|
7
|
|
|
use FinanCalc\Utils\MathFuncs; |
|
8
|
|
|
|
|
9
|
|
|
/** |
|
10
|
|
|
* Class BondYTMCalculator |
|
11
|
|
|
* @package FinanCalc\Calculators |
|
12
|
|
|
*/ |
|
13
|
|
|
class BondYTMCalculator extends BondCalculatorAbstract |
|
14
|
|
|
{ |
|
15
|
|
|
|
|
16
|
|
|
// market value of the bond = 'P' |
|
17
|
|
|
protected $bondMarketValue; |
|
18
|
|
|
|
|
19
|
|
|
// INHERITED MEMBERS |
|
20
|
|
|
// face value of the bond = 'F' |
|
21
|
|
|
// $bondFaceValue; |
|
22
|
|
|
|
|
23
|
|
|
// coupon rate of the bond per annum = 'c' |
|
24
|
|
|
// $bondAnnualCouponRate; |
|
25
|
|
|
|
|
26
|
|
|
// number of years to the maturity of the bond |
|
27
|
|
|
// $bondYearsToMaturity; |
|
28
|
|
|
|
|
29
|
|
|
// frequency of bond payments (expressed in a divisor of 12 months ~ 1 year) |
|
30
|
|
|
// e.g.: divisor 2 means semi-annual payments |
|
31
|
|
|
// $bondPaymentFrequency; |
|
32
|
|
|
|
|
33
|
|
|
// props returned by the getResultAsArray method by default |
|
34
|
|
|
protected $propResultArray = [ |
|
35
|
|
|
"bondFaceValue", |
|
36
|
|
|
"bondMarketValue", |
|
37
|
|
|
"bondAnnualCouponRate", |
|
38
|
|
|
"bondYearsToMaturity", |
|
39
|
|
|
"bondPaymentFrequency", |
|
40
|
|
|
"bondApproxYTM" => "approxBondYTM" |
|
41
|
|
|
]; |
|
42
|
|
|
|
|
43
|
|
|
/** |
|
44
|
|
|
* @param $bondFaceValue |
|
45
|
|
|
* @param $bondMarketValue |
|
46
|
|
|
* @param $bondAnnualCouponRate |
|
47
|
|
|
* @param $bondYearsToMaturity |
|
48
|
|
|
* @param $bondPaymentFrequency |
|
49
|
|
|
*/ |
|
50
|
|
|
public function __construct( |
|
51
|
|
|
$bondFaceValue, |
|
52
|
|
|
$bondMarketValue, |
|
53
|
|
|
$bondAnnualCouponRate, |
|
54
|
|
|
$bondYearsToMaturity, |
|
55
|
|
|
$bondPaymentFrequency = 1 |
|
56
|
|
|
) { |
|
57
|
|
|
$this->setBondFaceValue($bondFaceValue); |
|
58
|
|
|
$this->setBondMarketValue($bondMarketValue); |
|
59
|
|
|
$this->setBondAnnualCouponRate($bondAnnualCouponRate); |
|
60
|
|
|
$this->setBondYearsToMaturity($bondYearsToMaturity); |
|
61
|
|
|
$this->setBondPaymentFrequency($bondPaymentFrequency); |
|
62
|
|
|
} |
|
63
|
|
|
|
|
64
|
|
|
/** |
|
65
|
|
|
* @param $bondMarketValue |
|
66
|
|
|
*/ |
|
67
|
|
|
public function setBondMarketValue($bondMarketValue) |
|
68
|
|
|
{ |
|
69
|
|
|
$this->setProperty("bondMarketValue", $bondMarketValue, Lambdas::checkIfPositive()); |
|
70
|
|
|
} |
|
71
|
|
|
|
|
72
|
|
|
/** |
|
73
|
|
|
* @return mixed |
|
74
|
|
|
*/ |
|
75
|
|
|
public function getBondMarketValue() |
|
76
|
|
|
{ |
|
77
|
|
|
return $this->bondMarketValue; |
|
78
|
|
|
} |
|
79
|
|
|
|
|
80
|
|
|
/** |
|
81
|
|
|
* @return string |
|
82
|
|
|
*/ |
|
83
|
|
|
public function getApproxBondYTM() |
|
84
|
|
|
{ |
|
85
|
|
|
// we need to calculate the coupon payment C = F*(c/payment frequency) |
|
86
|
|
|
$couponPayment = |
|
87
|
|
|
MathFuncs::mul( |
|
88
|
|
|
$this->bondFaceValue, |
|
89
|
|
|
MathFuncs::div( |
|
90
|
|
|
$this->bondAnnualCouponRate, |
|
91
|
|
|
$this->bondPaymentFrequency |
|
92
|
|
|
) |
|
93
|
|
|
); |
|
94
|
|
|
|
|
95
|
|
|
// we use a formula to approximate the YTM = (C+(F-P)/n)/((F+P)/2) |
|
96
|
|
|
$approxYTM = |
|
97
|
|
|
MathFuncs::div( |
|
98
|
|
|
MathFuncs::add( |
|
99
|
|
|
$couponPayment, |
|
100
|
|
|
MathFuncs::div( |
|
101
|
|
|
MathFuncs::sub( |
|
102
|
|
|
$this->bondFaceValue, |
|
103
|
|
|
$this->bondMarketValue), |
|
104
|
|
|
$this->getBondNoOfPayments() |
|
105
|
|
|
) |
|
106
|
|
|
), |
|
107
|
|
|
MathFuncs::div( |
|
108
|
|
|
MathFuncs::add( |
|
109
|
|
|
$this->bondFaceValue, |
|
110
|
|
|
$this->bondMarketValue |
|
111
|
|
|
), |
|
112
|
|
|
2)); |
|
113
|
|
|
|
|
114
|
|
|
return $approxYTM; |
|
115
|
|
|
} |
|
116
|
|
|
|
|
117
|
|
|
// TODO – add a method for precise bond YTM calculation by means of a polynomial equation |
|
118
|
|
|
} |
|
119
|
|
|
} |
|
120
|
|
|
|