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Melodyxie · 2019年11月13日

问一道题:NO.PZ201511200300000706

* 问题详情,请 查看题干

问题如下:

6. How much after-tax wealth would Motelli accumulate assuming the same facts as in Question 4 except that 50 percent of all capital gains are recognized each year?

选项:

A.

€640,747.

B.

€665,747.

C.

€678,158.

解释:

C is correct.

r* = r(1–pcgtcg)

= 0.075(1–(0.5)(0.10)) = 0.075(1–0.05) = 0.07125

T* = tcg(1–pcg)/(1–pcgtcg)

= 0.10[(1–0.5)/(1–0.5× 0.10)] = 0.052632

FVIFTaxable = (1 + r*)n(1–T*) + T*–(1–B)tcg, B = 1

FV =€250,000×[(1+0.07125)15(1–0.052632) + 0.052632]

= €678,158

这题不理解,能详细说一下嘛?

1 个答案
已采纳答案

包包_品职助教 · 2019年11月14日

嗨,从没放弃的小努力你好:


这道题涉及道unrealized tax,那我们分几步走

第一步,先计算 扣除realize的税的年收益率,那就是用r-交税交走的部分,也就是r-pcgtcg即 r* = r(1–pcgtcg)= 0.075(1–(0.5)(0.10)) = 0.075(1–0.05) = 0.07125

第二步,unrealized 税相对于总体金额的税率

T* = tcg(1–pcg)/(1–pcgtcg)

= 0.10[(1–0.5)/(1–0.5× 0.10)] = 0.052632

第三步算终值 

你可以用这个公式计算可能好理解一点FVIFTaxable =【 (1 + r*)n – 1】T*-(1-B)

FVIFTaxable = (1 + r*)n(1–T*) + T*–(1–B)tcg, B = 1

FV =€250,000×[(1+0.07125)15(1–0.052632) + 0.052632]

= €678,158


-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


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NO.PZ201511200300000706 能不能详细说明一下适用于哪些情景,看到相关题目能够反应出来

2021-03-11 20:26 1 · 回答

老师,请问这题是考察blentax还是哪个?不知道该用何种方法解决,请详细讲解一下,谢谢啦

2020-12-20 09:48 1 · 回答

€665,747. €678,158. C is correct. r* = r(1–pcgtcg) = 0.075(1–(0.5)(0.10)) = 0.075(1–0.05) = 0.07125 T* = tcg(1–pcg)/(1–pcgtcg) = 0.10[(1–0.5)/(1–0.5× 0.10)] = 0.052632 FVIFTaxable = (1 + r*)n(1–T*) + T*–(1–B)tcg, B = 1 FV =€250,000×[(1+0.07125)15(1–0.052632) + 0.052632] = €678,158能帮忙画饼图一下吗?

2020-09-22 17:59 3 · 回答

€665,747. €678,158. C is correct. r* = r(1–pcgtcg) = 0.075(1–(0.5)(0.10)) = 0.075(1–0.05) = 0.07125 T* = tcg(1–pcg)/(1–pcgtcg) = 0.10[(1–0.5)/(1–0.5× 0.10)] = 0.052632 FVIFTaxable = (1 + r*)n(1–T*) + T*–(1–B)tcg, B = 1 FV =€250,000×[(1+0.07125)15(1–0.052632) + 0.052632] = €678,158这题是画饼干的那个方法吗?是有realize有unrealizecg时候就要想这个方法吗?

2020-05-12 19:52 1 · 回答

€665,747. €678,158. C is correct. r* = r(1–pcgtcg) = 0.075(1–(0.5)(0.10)) = 0.075(1–0.05) = 0.07125 T* = tcg(1–pcg)/(1–pcgtcg) = 0.10[(1–0.5)/(1–0.5× 0.10)] = 0.052632 FVIFTaxable = (1 + r*)n(1–T*) + T*–(1–B)tcg, B = 1 FV =€250,000×[(1+0.07125)15(1–0.052632) + 0.052632] = €678,158这一提B为什么等于1呢 不是等于17500吗

2020-03-13 14:12 1 · 回答