第二章 练习题: 1.答:第7年底可以从账户中取出: FV710000FVIFA12%,4FVIF12%,3100004.7791.40567144.95(元)2. 答:张华所得获得所有收入的现值是: PV510(1+10%)PVIF12%,110(1+4%)(1+10%)PVIF12%,22 +10(1+4%)(1+10%)PVIF12%,35110.89311.440.79711.8980.71232.4(万元)3. 每年节约的员工交通费按年金折现后为: PV45000PVIFA12%,8450004.968233560(元)大于购置面包车的成本,因此应该购置面包车。 4. 答:年利率为12%,则季利率为3%,计息次数为4。则有: PV1000PVIF3%,410000.888888(元)5. 答:(1)设每年年末还款A元,则有: APVIFA16%,8A4.3445000求解得A=1151.01万元 (2)年金现值系数=5000/1500=3.333,介于5年到6年之间,因为每年年末归还借款,所以需要6年才能还清。 6. 答: 项目 期望报酬率 中原公司 =40%×0.3+20%×0.5+0%×0.2 =22% 南方公司 =60%×0.3+20%×0.5+(-10%)×0.2 =26% (40%22%)20.3标准离差 (60%26%)20.3(20%26%)20.5(10%26%)20.2=24.98% =24.98%/26% =96.08% =5%×96.08% (20%22%)20.5 (0%22%)20.2=14% 标准离差率 =标准离差/期望报酬率 风险报酬率 =14%/22% =63.64% =5%×63.64% =风险报酬系数×标准离差率 投资报酬率 =无风险报酬率+风险报酬率 =3.182% =10%+3.182% =13.182% =4.804% =10%+4.804% =14.804% 7. 答:各自的必要报酬率=无风险报酬率+系数×(所有证券的报酬率-无风险报酬率) 所以分别为: A=8%+1.5×(14%-8%)=17%, B=8%+1.0×(14%-8%)=14%, C=8%+0.4×(14%-8%)=10.4%, D=8%+2.5×(14%-8%)=23%。 8. 答: Pt1nIF tn(1K)(1K)IPVIFAk,nFPVIFk,n 100012%PVIFA15%,51000PVIF15%,51203.35210000.497899.24(元) 则该债券价格小于899.24元时,才能进行投资。 9. 答:(1)计算各方案的期望报酬率、标准离差: 项目 期望报酬率 A =0.2×25%+0.4×20%+0.4×15% =19% B =0.2×25%+0.4×10%+0.4×20% =17% C =0.2×10%+0.4×15%+0.4×20% =16% (25%19%)20.2标准离差 (25%17%)20.2 (10%16%)20.2(15%16%)20.4(20%16%)20.4=3.74% (20%19%)20.4 (10%17%)20.4(15%19%)20.4=3.74% =6% (20%17%)20.4(2)50%的A证券和50%的B证券构成的投资组合: 期望报酬=0.2(25%50%+25%50%)+0.4(20%50%+10%50%)+0.4(15%50%+20%50%)=18% 222标准离差(25%18%)0.2+(15%18%)0.4+(17.5%18%)0.4=3.67%(3)50%的A证券和50%的C证券构成的投资组合: 期望报酬=0.2(25%50%+10%50%)+0.4(20%50%+15%50%)+0.4(15%50%+20%50%)=17.5% 222标准离差(17.5%17.5%)0.2+(17.5%17.5%)0.4+(17.5%17.5%)0.4=0(4)50%的B证券和50%的C证券构成的投资组合: 本文来源:https://www.wddqw.com/doc/7e5601779cc3d5bbfd0a79563c1ec5da51e2d654.html