This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
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Huu hapa ni uchambuzi wa swali hili: Sehemu (i): Ushauri kuhusu chaguo bora la uwekezaji Step 1: Kuhesabu Thamani ya Baadaye (Future Value - FV) kwa kila chaguo. Tunatumia formula ya Thamani ya Baadaye: FV = PV × (1 + (r)/(m))^mt Ambapo: PV = Thamani ya Sasa (Uwekezaji wa Awali) = Sh.500,000 t = Muda wa Uwekezaji = miaka 2 r = Kiwango cha Riba ya Kila Mwaka m = Idadi ya nyakati riba inavyojumuishwa kwa mwaka Chaguo I: Nyumba Building Society r = 14\% (0.14), m = 2 (nusu mwaka) FV_I = Sh.500,000 × (1 + (0.14)/(2))^2 × 2 FV_I = Sh.500,000 × (1 + 0.07)^4 FV_I = Sh.500,000 × (1.07)^4 FV_I = Sh.500,000 × 1.310796 FV_I = Sh.655,398 Chaguo II: Kijiji Bank Ltd. r = 17\% (0.17), m = 1 (kila mwaka) FV_II = Sh.500,000 × (1 + (0.17)/(1))^1 × 2 FV_II = Sh.500,000 × (1 + 0.17)^2 FV_II = Sh.500,000 × (1.17)^2 FV_II = Sh.500,000 × 1.3689 FV_II = Sh.684,450 Chaguo III: Faida Bank Ltd. r = 16\% (0.16), m = 4 (kila baada ya miezi mitatu) FV_III = Sh.500,000 × (1 + (0.16)/(4))^4 × 2 FV_III = Sh.500,000 × (1 + 0.04)^8 FV_III = Sh.500,000 × (1.04)^8 FV_III = Sh.500,000 × 1.368569 FV_III = Sh.684,284.50 Step 2: Kulinganisha Thamani za Baadaye na Kutoa Ushauri. • Chaguo I: Sh.655,398 • Chaguo II: Sh.684,450 • Chaguo III: Sh.684,284.50 Chaguo la II lina Thamani ya Baadaye ya juu zaidi. Ushauri: Alfred Otieno anapaswa kuchagua Chaguo II: Kuwekeza na Kijiji Bank Ltd. kwa sababu inatoa Thamani ya Baadaye ya juu zaidi baada ya miaka miwili. Sehemu (ii): Kuhesabu kiwango halisi cha riba kwa chaguo I. Step 1: Tumia formula ya Kiwango Halisi cha Mwaka (Effective Annual Rate - EAR). EAR = (1 + (r)/(m))^m - 1 Ambapo: r = 14\% (0.14) m = 2 (nusu mwaka) EAR = (1 + (0.14)/(2))^2 - 1 EAR = (1 + 0.07)^2 - 1 EAR = (1.07)^2 - 1 EAR = 1.1449 - 1 EAR = 0.1449 EAR = 14.49% Sehemu (iii): Tambua hali MBILI zinazoweza kuathiri mapendekezo katika (c) (i) hapo juu. Hali mbili zinazoweza kuathiri mapendekezo ni: • Mahitaji ya Ukwasi (Liquidity Needs): Ikiwa Alfred Otieno atahitaji fedha zake kabla ya miaka miwili na kuna adhabu kubwa za kutoa fedha mapema kwa chaguo bora, anaweza kulazimika kuchagua chaguo lingine lenye ukwasi zaidi, hata kama lina faida ndogo. • Uvumilivu wa Hatari (Risk Tolerance): Ingawa chaguo la Kijiji Bank Ltd. linaonekana kuwa bora zaidi kifedha, Alfred anaweza kuwa na wasiwasi kuhusu usalama wa benki hiyo au taasisi yoyote. Ikiwa ana uvumilivu mdogo wa hatari, anaweza kupendelea taasisi anayoiamini zaidi, hata kama inatoa faida ndogo. 3 done, 2 left today. You're making progress.