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甲公司正在考慮以下兩個(gè)項(xiàng)目,兩個(gè)項(xiàng)目可能得收益如下表,甲公司該投資于哪個(gè)項(xiàng)目?投資項(xiàng)目未來可能的收益率情況表市場(chǎng)銷售情況概率項(xiàng)目甲收益率項(xiàng)目乙收益率很好0.230%25%一般0.415%10%很差0.4-5%5%
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您好,稍后為您解答
2024 10/03 17:04
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新新老師 ![](/wenda/_nuxt/img/reply2.28c7604.png)
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2024 10/03 17:16
概率分布的期望值如下:
甲:0.2x30%+ 0.4x15%+ 0.4x(-5%)=10%
乙:0.2x25%+ 0.4x10% +0.4x5%=11%
甲項(xiàng)目的標(biāo)準(zhǔn)差=
[(30%-10%)^2*0.2+(15%-10%)^2*0.4+(-5%-10%)^2*0.4]^(1/2)=13.41%
乙項(xiàng)目的標(biāo)準(zhǔn)差=
[(25%-11%)^2*0.2+(10%-11%)^2*0.4+(5%-11%)^2*0.4]^(1/2)=7.35%
甲項(xiàng)目的標(biāo)準(zhǔn)離差率=13.41%/10%=1.34
乙項(xiàng)目的標(biāo)準(zhǔn)離差率=7.35%/11%=0.67
從標(biāo)準(zhǔn)差的計(jì)算可以看出,項(xiàng)目甲的標(biāo)準(zhǔn)差13.41%大于項(xiàng)目乙的標(biāo)準(zhǔn)差7.35%,項(xiàng)目甲的風(fēng)險(xiǎn)比項(xiàng)目乙的風(fēng)險(xiǎn)大,而且從標(biāo)準(zhǔn)離差率的計(jì)算來看,由于項(xiàng)目甲的標(biāo)準(zhǔn)離差率1.34大于項(xiàng)目乙的標(biāo)準(zhǔn)離差率0.67。因此,項(xiàng)目乙的相對(duì)風(fēng)險(xiǎn)(即每單位收益所承擔(dān)的風(fēng)險(xiǎn))小于項(xiàng)目甲。所以應(yīng)該選擇項(xiàng)目乙。
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新新老師 ![](/wenda/_nuxt/img/reply2.28c7604.png)
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2024 10/03 17:17
滿意的話記得好評(píng)哦
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