tawanda matsokotere n0071432x

8/7/2019 Tawanda Matsokotere N0071432X

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INPUT VALUESExpected Return

Riskfree rate 6%Asset A 14%Asset B 8%Correlation

OUTPUT VALUESWeight in Asset 1 Standard Deviation

Efficient Trade off Curve -60% 24.6%

Efficient Trade off Curve -50% 22.7%Efficient Trade off Curve -40% 20.9%Efficient Trade off Curve -30% 19.2%Efficient Trade off Curve -20% 17.6%Efficient Trade off Curve -10% 16.2%Efficient Trade off Curve 0% 15.0%Efficient Trade off Curve 10% 14.0%Efficient Trade off Curve 20% 13.4%Efficient Trade off Curve 30% 13.1%Efficient Trade off Curve 40% 13.2%

Efficient Trade off Curve 50% 13.6%Efficient Trade off Curve 60% 14.4%Efficient Trade off Curve 70% 15.5%Efficient Trade off Curve 80% 16.9%

Efficient Trade off Curve 90% 18.4%Efficient Trade off Curve 95% 19.2%Efficient Trade off Curve 100% 20.0%Efficient Trade off Curve 110% 21.7%Efficient Trade off Curve 120% 23.6%Efficient Trade off Curve 130% 25.5%Efficient Trade off Curve 140% 27.4%Efficient Trade off Curve 150% 29.4%Efficient Trade off Curve 160% 31.5%Efficient Trade off Curve 170% 33.5%Efficient Trade off Curve 180% 35.6%Efficient Trade off Curve 190% 37.7%Optimal Combination 84.00% 17.4%


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Efficient Trade off Line 0% 0.0%Efficient Trade off Line 100% 17.4%Efficient Trade off Line 200% 34.9%


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Portfolio Optimization 2 Assets

Standard Deviation Expected Return (Riskless)0.00%

20% 8.00%15% 2.00%20%

Risk Return Trade-Off Curve Efficient Trade-Off Line4.4%

5.0%5.6%6.2%6.8%7.4%8.0%8.6%9.2%9.8%

10.4%

11.0%11.6%12.2%12.8%

13.4%13.7%14.0%14.6%15.2%15.8%16.4%17.0%17.6%18.2%18.8%19.4%

13.0%

Expected Re


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6.0%13.0%20.1%


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Optimal PortfolioWeight of Asset 1 84.00%Weight of Asset 2 16.00%Expected Return 13.04%Standard Deviation 17.44%Coefficient of Variation 0.748

0.0% 5.0% 10.0%15.0%20.0%25.0%30.0%35.0%40.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

Standard Deviation

turn


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Input ValuesFace Amount $100.00Discount Amount 10%

Day Basis 360Maturity 180

WorkingsSettlement (Days) 0Maturity 180Days to Maturity 180

MathematDiscount Amount $5.00Price/Present Value $95.00

Equivalent Yield 10.53%Holding Period Yield 5.26%Effective Annualised Yield 10.96%

Valuing aINPUT VALUES

Face Value 100Day Basis 365Maturity 91discount at purchase 10%discount at sale 8%

15

81

OUTPUT VALUES

66Realised Yield 10.69%Value at SaleValue at Purchase

Between sale and Maturity (days)[N sm]

Between purchase and Maturity (days)[N pm]

[Npm-N sm] or Holding period


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Valuation (USD Treasury Bills)

1 2 3 4 5 6 7180 180 180 180 180 180 180179 178 177 176 175 174 173

cs of a Treasury Bill held to Maturity$4.97 $4.94 $4.92 $4.89 $4.86 $4.83 $4.81

$95.03 $95.06 $95.08 $95.11 $95.14 $95.17 $95.19

10.52% 10.52% 10.52% 10.51% 10.51% 10.51% 10.50%5.23% 5.20% 5.17% 5.14% 5.11% 5.08% 5.05%

10.96% 10.96% 10.96% 10.95% 10.95% 10.95% 10.95%

reasury Bill Bought and Sold Before Maturity(91 Day TB)


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8 9 10 11 12 13 14180 180 180 180 180 180 180172 171 170 169 168 167 166

$4.78 $4.75 $4.72 $4.69 $4.67 $4.64 $4.61$95.22 $95.25 $95.28 $95.31 $95.33 $95.36 $95.39

10.50% 10.50% 10.50% 10.49% 10.49% 10.49% 10.48%5.02% 4.99% 4.96% 4.93% 4.90% 4.86% 4.83%

10.95% 10.95% 10.94% 10.94% 10.94% 10.94% 10.94%


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15 16 17 18 19 20 21180 180 180 180 180 180 180165 164 163 162 161 160 159

$4.58 $4.56 $4.53 $4.50 $4.47 $4.44 $4.42$95.42 $95.44 $95.47 $95.50 $95.53 $95.56 $95.58

10.48% 10.48% 10.47% 10.47% 10.47% 10.47% 10.46%4.80% 4.77% 4.74% 4.71% 4.68% 4.65% 4.62%

10.94% 10.93% 10.93% 10.93% 10.93% 10.93% 10.93%


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22 23 24 25 26 27 28180 180 180 180 180 180 180158 157 156 155 154 153 152

$4.39 $4.36 $4.33 $4.31 $4.28 $4.25 $4.22$95.61 $95.64 $95.67 $95.69 $95.72 $95.75 $95.78

10.46% 10.46% 10.45% 10.45% 10.45% 10.44% 10.44%4.59% 4.56% 4.53% 4.50% 4.47% 4.44% 4.41%

10.92% 10.92% 10.92% 10.92% 10.92% 10.92% 10.91%


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29 30 31 32 33 34 35180 180 180 180 180 180 180151 150 149 148 147 146 145

$4.19 $4.17 $4.14 $4.11 $4.08 $4.06 $4.03$95.81 $95.83 $95.86 $95.89 $95.92 $95.94 $95.97

10.44% 10.43% 10.43% 10.43% 10.43% 10.42% 10.42%4.38% 4.35% 4.32% 4.29% 4.26% 4.23% 4.20%

10.91% 10.91% 10.91% 10.91% 10.91% 10.90% 10.90%


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36 37 38 39 40 41 42180 180 180 180 180 180 180144 143 142 141 140 139 138

$4.00 $3.97 $3.94 $3.92 $3.89 $3.86 $3.83$96.00 $96.03 $96.06 $96.08 $96.11 $96.14 $96.17

10.42% 10.41% 10.41% 10.41% 10.40% 10.40% 10.40%4.17% 4.14% 4.11% 4.08% 4.05% 4.02% 3.99%

10.90% 10.90% 10.90% 10.90% 10.89% 10.89% 10.89%


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43 44 45 46 47 48 49180 180 180 180 180 180 180137 136 135 134 133 132 131

$3.81 $3.78 $3.75 $3.72 $3.69 $3.67 $3.64$96.19 $96.22 $96.25 $96.28 $96.31 $96.33 $96.36

10.40% 10.39% 10.39% 10.39% 10.38% 10.38% 10.38%3.96% 3.93% 3.90% 3.87% 3.84% 3.81% 3.78%

10.89% 10.89% 10.89% 10.89% 10.88% 10.88% 10.88%


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50 51 52 53 54 55 56180 180 180 180 180 180 180130 129 128 127 126 125 124

$3.61 $3.58 $3.56 $3.53 $3.50 $3.47 $3.44$96.39 $96.42 $96.44 $96.47 $96.50 $96.53 $96.56

10.37% 10.37% 10.37% 10.37% 10.36% 10.36% 10.36%3.75% 3.72% 3.69% 3.66% 3.63% 3.60% 3.57%

10.88% 10.88% 10.88% 10.87% 10.87% 10.87% 10.87%


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57 58 59 60 61 62 63180 180 180 180 180 180 180123 122 121 120 119 118 117

$3.42 $3.39 $3.36 $3.33 $3.31 $3.28 $3.25$96.58 $96.61 $96.64 $96.67 $96.69 $96.72 $96.75

10.35% 10.35% 10.35% 10.34% 10.34% 10.34% 10.34%3.54% 3.51% 3.48% 3.45% 3.42% 3.39% 3.36%

10.87% 10.87% 10.86% 10.86% 10.86% 10.86% 10.86%


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64 65 66 67 68 69 70180 180 180 180 180 180 180116 115 114 113 112 111 110

$3.22 $3.19 $3.17 $3.14 $3.11 $3.08 $3.06$96.78 $96.81 $96.83 $96.86 $96.89 $96.92 $96.94

10.33% 10.33% 10.33% 10.32% 10.32% 10.32% 10.32%3.33% 3.30% 3.27% 3.24% 3.21% 3.18% 3.15%

10.86% 10.85% 10.85% 10.85% 10.85% 10.85% 10.85%


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71 72 73 74 75 76 77180 180 180 180 180 180 180109 108 107 106 105 104 103

$3.03 $3.00 $2.97 $2.94 $2.92 $2.89 $2.86$96.97 $97.00 $97.03 $97.06 $97.08 $97.11 $97.14

10.31% 10.31% 10.31% 10.30% 10.30% 10.30% 10.29%3.12% 3.09% 3.06% 3.03% 3.00% 2.97% 2.95%

10.84% 10.84% 10.84% 10.84% 10.84% 10.84% 10.83%


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78 79 80 81 82 83 84180 180 180 180 180 180 180102 101 100 99 98 97 96

$2.83 $2.81 $2.78 $2.75 $2.72 $2.69 $2.67$97.17 $97.19 $97.22 $97.25 $97.28 $97.31 $97.33

10.29% 10.29% 10.29% 10.28% 10.28% 10.28% 10.27%2.92% 2.89% 2.86% 2.83% 2.80% 2.77% 2.74%

10.83% 10.83% 10.83% 10.83% 10.83% 10.82% 10.82%


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85 86 87 88 89 90 91180 180 180 180 180 180 180

95 94 93 92 91 90 89

$2.64 $2.61 $2.58 $2.56 $2.53 $2.50 $2.47$97.36 $97.39 $97.42 $97.44 $97.47 $97.50 $97.53

10.27% 10.27% 10.27% 10.26% 10.26% 10.26% 10.25%2.71% 2.68% 2.65% 2.62% 2.59% 2.56% 2.53%

10.82% 10.82% 10.82% 10.82% 10.82% 10.81% 10.81%


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92 93 94 95 96 97 98180 180 180 180 180 180 180

88 87 86 85 84 83 82

$2.44 $2.42 $2.39 $2.36 $2.33 $2.31 $2.28$97.56 $97.58 $97.61 $97.64 $97.67 $97.69 $97.72

10.25% 10.25% 10.24% 10.24% 10.24% 10.24% 10.23%2.51% 2.48% 2.45% 2.42% 2.39% 2.36% 2.33%

10.81% 10.81% 10.81% 10.81% 10.80% 10.80% 10.80%


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99 100 101 102 103 104 105180 180 180 180 180 180 180

81 80 79 78 77 76 75

$2.25 $2.22 $2.19 $2.17 $2.14 $2.11 $2.08$97.75 $97.78 $97.81 $97.83 $97.86 $97.89 $97.92

10.23% 10.23% 10.22% 10.22% 10.22% 10.22% 10.21%2.30% 2.27% 2.24% 2.21% 2.19% 2.16% 2.13%

10.80% 10.80% 10.80% 10.79% 10.79% 10.79% 10.79%


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106 107 108 109 110 111 112180 180 180 180 180 180 180

74 73 72 71 70 69 68

$2.06 $2.03 $2.00 $1.97 $1.94 $1.92 $1.89$97.94 $97.97 $98.00 $98.03 $98.06 $98.08 $98.11

10.21% 10.21% 10.20% 10.20% 10.20% 10.20% 10.19%2.10% 2.07% 2.04% 2.01% 1.98% 1.95% 1.93%

10.79% 10.79% 10.78% 10.78% 10.78% 10.78% 10.78%


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113 114 115 116 117 118 119180 180 180 180 180 180 180

67 66 65 64 63 62 61

$1.86 $1.83 $1.81 $1.78 $1.75 $1.72 $1.69$98.14 $98.17 $98.19 $98.22 $98.25 $98.28 $98.31

10.19% 10.19% 10.18% 10.18% 10.18% 10.18% 10.17%1.90% 1.87% 1.84% 1.81% 1.78% 1.75% 1.72%

10.78% 10.77% 10.77% 10.77% 10.77% 10.77% 10.77%


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120 121 122 123 124 125 126180 180 180 180 180 180 180

60 59 58 57 56 55 54

$1.67 $1.64 $1.61 $1.58 $1.56 $1.53 $1.50$98.33 $98.36 $98.39 $98.42 $98.44 $98.47 $98.50

10.17% 10.17% 10.16% 10.16% 10.16% 10.16% 10.15%1.69% 1.67% 1.64% 1.61% 1.58% 1.55% 1.52%

10.77% 10.76% 10.76% 10.76% 10.76% 10.76% 10.76%


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127 128 129 130 131 132 133180 180 180 180 180 180 180

53 52 51 50 49 48 47

$1.47 $1.44 $1.42 $1.39 $1.36 $1.33 $1.31$98.53 $98.56 $98.58 $98.61 $98.64 $98.67 $98.69

10.15% 10.15% 10.14% 10.14% 10.14% 10.14% 10.13%1.49% 1.47% 1.44% 1.41% 1.38% 1.35% 1.32%

10.75% 10.75% 10.75% 10.75% 10.75% 10.75% 10.74%


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134 135 136 137 138 139 140180 180 180 180 180 180 180

46 45 44 43 42 41 40

$1.28 $1.25 $1.22 $1.19 $1.17 $1.14 $1.11$98.72 $98.75 $98.78 $98.81 $98.83 $98.86 $98.89

10.13% 10.13% 10.12% 10.12% 10.12% 10.12% 10.11%1.29% 1.27% 1.24% 1.21% 1.18% 1.15% 1.12%

10.74% 10.74% 10.74% 10.74% 10.74% 10.74% 10.73%


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141 142 143 144 145 146 147180 180 180 180 180 180 180

39 38 37 36 35 34 33

$1.08 $1.06 $1.03 $1.00 $0.97 $0.94 $0.92$98.92 $98.94 $98.97 $99.00 $99.03 $99.06 $99.08

10.11% 10.11% 10.10% 10.10% 10.10% 10.10% 10.09%1.10% 1.07% 1.04% 1.01% 0.98% 0.95% 0.93%

10.73% 10.73% 10.73% 10.73% 10.73% 10.72% 10.72%


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148 149 150 151 152 153 154180 180 180 180 180 180 180

32 31 30 29 28 27 26

$0.89 $0.86 $0.83 $0.81 $0.78 $0.75 $0.72$99.11 $99.14 $99.17 $99.19 $99.22 $99.25 $99.28

10.09% 10.09% 10.08% 10.08% 10.08% 10.08% 10.07%0.90% 0.87% 0.84% 0.81% 0.78% 0.76% 0.73%

10.72% 10.72% 10.72% 10.72% 10.71% 10.71% 10.71%


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155 156 157 158 159 160 161180 180 180 180 180 180 180

25 24 23 22 21 20 19

$0.69 $0.67 $0.64 $0.61 $0.58 $0.56 $0.53$99.31 $99.33 $99.36 $99.39 $99.42 $99.44 $99.47

10.07% 10.07% 10.06% 10.06% 10.06% 10.06% 10.05%0.70% 0.67% 0.64% 0.61% 0.59% 0.56% 0.53%

10.71% 10.71% 10.71% 10.71% 10.70% 10.70% 10.70%


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162 163 164 165 166 167 168180 180 180 180 180 180 180

18 17 16 15 14 13 12

$0.50 $0.47 $0.44 $0.42 $0.39 $0.36 $0.33$99.50 $99.53 $99.56 $99.58 $99.61 $99.64 $99.67

10.05% 10.05% 10.04% 10.04% 10.04% 10.04% 10.03%0.50% 0.47% 0.45% 0.42% 0.39% 0.36% 0.33%

10.70% 10.70% 10.70% 10.69% 10.69% 10.69% 10.69%


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169 170 171 172 173 174 175180 180 180 180 180 180 180

11 10 9 8 7 6 5

$0.31 $0.28 $0.25 $0.22 $0.19 $0.17 $0.14$99.69 $99.72 $99.75 $99.78 $99.81 $99.83 $99.86

10.03% 10.03% 10.03% 10.02% 10.02% 10.02% 10.01%0.31% 0.28% 0.25% 0.22% 0.19% 0.17% 0.14%

10.69% 10.69% 10.68% 10.68% 10.68% 10.68% 10.68%


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176 177 178 179 180 181 182180 180 180 180 180

4 3 2 1 0

$0.11 $0.08 $0.06 $0.03 $0.00$99.89 $99.92 $99.94 $99.97 $100.00

10.01% 10.01% 10.01% 10.00% 10.00%0.11% 0.08% 0.06% 0.03% 0.00%

10.68% 10.68% 10.67% 10.67% #DIV/0!


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183 184 185 186 187 188 189


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190 191 192 193 194 195 196


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197 198 199 200 201 202 203


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204 205 206 207 208 209 210


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211 212 213 214 215 216 217


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218 219 220 221 222 223 224


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225 226 227 228 229 230 231


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232 233 234 235 236 237 238


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239 240 241 242 243 244 245


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246 247 248 249 250 251 252


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253


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INPUT VALUES

Principal/Investment ZAR 100,000.00Day Basis 365

Tax rate 15%Tenure (Days) 1 7Indicative Rates 2.00% 5%

OUPUT VALUES

Interest Before Tax ZAR 5.48 ZAR 95.89Tax Amont ZAR 0.82 ZAR 14.38Interest After Tax ZAR 4.66 ZAR 81.51Maturity Value ZAR 100,004.66 ZAR 100,081.51


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Valuation of a Fixed Deposit (ZAR Accounts)

14 30 60 9010% 13% 15% 18%

ZAR 383.56 ZAR 1,068.49 ZAR 2,465.75 ZAR 4,438.36ZAR 57.53 ZAR 160.27 ZAR 369.86 ZAR 665.75

ZAR 326.03 ZAR 908.22 ZAR 2,095.89 ZAR 3,772.60ZAR 100,326.03 ZAR 100,908.22 ZAR 102,095.89 ZAR 103,772.60


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120 18021% 25%

ZAR 6,904.11 ZAR 12,328.77ZAR 1,035.62 ZAR 1,849.32ZAR 5,868.49 ZAR 10,479.45

ZAR 105,868.49 ZAR 110,479.45

tawanda matsokotere n0071432x

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